CLASS 11th CHAPTER -6 Thermodynamics |Chemistry | NCERT SOLUTION| EDUGROWN

NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics includes all the important topics with detailed explanation that aims to help students to understand the concepts better. Students who are preparing for their Class 11 Chemistry exams must go through NCERT Solutions for Class 11 Chemisrty Chapter 6 Thermodynamics. NCERT Solutions will make you understand the topics in most simple manner and grasp it easily to perform better.

NCERT Solutions for Class 11 Chemistry Part 1

Chemistry Part 1 Class 11 will introduce you to basic concepts of subjects, about atoms, chemical bonding and other topics. There are 7 chapters through which learners can study in an organized manner and improve their studying habits.

Class 11th Chapter -6 Thermodynamics | NCERT CHEMISRTY SOLUTION |

NCERT Exercises

Question 1.
Choose the correct answer. A thermodynamic state function is a quantity
(a) used to determine heat changes
(b) whose value is independent of path
(c) used to determine pressure volume work
(d) whose value depends on temperature only.
Answer.
(b): State function is a property of the system whose value depends only upon the state of the system and is independent of the path or the manner by which the state is reached.

Question 2.
For the process to occur under adiabatic conditions, the correct condition is
(a) ΔT = 0
(b) Δp = 0
(c) g = 0
(d) w=0
Answer..
(c): Adiabatic system does not exchange heat with the surroundings.

Question 3.
The enthalpies of all elements in their standard states are
(a) unity
(b) zero
(c) <0
(d) different for each element.
Answer.
(b) : By convention, the standard enthalpy of formation of every element in its standard state is zero.

Question 4.
ΔU° of combustion of methane is – X kJ mol-1. The value of ΔH° is
(a) = ΔU°
(b) >ΔU°
(c) <ΔU°
(d) =0
Answer.
(c) : CH4(g)+2O2 → CO2(g)+2H2Ol
Δn = 1 – 3 = -2. ‘
ΔH° = ΔU° + ΔnRT = -X- 2RT

Question 5.
The enthalpy of combustion of methane, graphite and dihydrogen at 298 K are, -890.3 kJ mol-1,-393.5 kJ mol-1 and-285.8 kJ mol-1 respectively. Enthalpy of formation of CH4(g) will be
(a) -74.8 kJ mol-1
(b) -52.27 kJ mol-1
(c) +74.8 kJ mol-1
(d) +52.26 kJ mol-1
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 1

Question 6.
A reaction, A + B → C + D + q is found to have a positive entropy change. The reaction will be
(a) possible at high temperature
(b) possible only at low temperature
(c) not possible at any temperature
(d) possible at any temperature
Solution.
(d): A + B → C + D + q, ΔS = +ve
Here, ΔH = -ve
ΔG = ΔH – TΔS
For reaction to be spontaneous, ΔG should be -ve. As ΔH = -ve and ΔS is +ve, ΔG will be -ve at any temperature.

Question 7.
In a process, 701 J of heat is absorbed by a system and 394 S of work is done by the system. What is the change in internal energy for the process?
Solution.
Heat absorbed by the system (q) = 701 J
Work done by the system (w) = -394 J
According to first law of thermodynamics,
ΔU = q + w = 701 + (-394) = 701 – 394 = 307 J

Question 8.
The reaction of cyanamide, NH2CN(g), with dioxygen was carried out in a bomb calorimeter, and AU was found to be -742.7 kJ mol 1 at 298 K. Calculate enthalpy change for the reaction at 298 K.
NH2CN(g) + \frac { 3 }{ 2 } { O }_{ 2(g) } → N2+CO2(g)+H2Ol
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 2

Question 9.
Calculate the number of kJ of heat necessary to raise the temperature of 60.0 g of aluminium from 35°C to 55°C. Molar heat capacity of Al is 24 J mol-1 K-1.
Solution.
Mass of Al = 60 g
Rise in temperature, ΔT = 55 – 35 = 20°C
Molar heat capacity of Al = 24 J mo-1 K-1
Specific heat capacity of Al = \frac { 24 }{ 27 } J{ g }^{ -1 }{ K }^{ -1 }
∴ Energy required = m x c x ΔT
60\times \frac { 24 }{ 27 } \times 20=\frac { 28800 }{ 27 } =1066.67\quad J
= 1.068kJ or 1.07kJ

Question 10.
Calculate the enthalpy change on freezing of 1.0 mol of water at 10.0°C to ice at -10.0°C. ΔfusH = 6.03 kJ mol-1 at 0°C.
Cp[H2O(l)] = 75.3 J mol-1 K-1,
Cp[H2O(s)] = 36.8 J mol-1 K-1
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 3

Question 11.
Enthalpy of combustion of carbon to CO2 is -393.5 kJ mol-1. Calculate the heat released upon formation of 35.2 g of CO2 from carbon and dioxygen gas.
Solution.
C + O2 → CO2; ΔT = -393.5 kJ
∵ When 44 g of COz is formed from carbon and dioxygen gas, heat released = 393.5 kj
∴ When 35.2 g of CO2 is formed from carbon and dioxygen gas, heat released
\frac { 393.5\times 35.2 }{ 44 } =\frac { 138551.2 }{ 44 } =314.8kJ
Thus, ΔH = -314.8 kJ

Question 12.
Enthalpies of formation of CO(g), CO2(g), N2O(g) and N2O4(g) are -110, – 393, 81 and 9.7 kJ mol -1 respectively. Find the value of Δrf for the reaction
N2O4(g) + 3CO(g) → N2O(g) + 3CO2(g)
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 4

Question 13.
Given: N2(g) + 3H2(g) → 2NH3(g); ΔrH° = -92.4 kJ mol-1 What is the standard enthalpy of formation of NH3 gas?
Solution.
N2(g) + 3H2(g) → 2NH3(g) ; ΔrH° = -92.4 kJ mol-1
∴ Standard enthalpy of formation of NH3(g)
\frac { -92.4 }{ 2 } =\quad -46.2\quad kJ/mol

Question 14.
Calculate the standard enthalpy of formation of CH3OHl from the following data :
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 5
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 6

Question 15.
Calculate the enthalpy change for the process
CCl4(g) → C(g) + 4Cl(g)
and calculate bond enthalpy of C – Cl in CCl4(g).
ΔvapH°(CCl4) = 30.5 kJ mol-1,
ΔfH°(CCl4) = -135.5 kJ mol-1,
ΔaH°(C) = 715.0 kJ mol-1, where ΔaH° is enthalpy of atomisation ΔaH°(Cl2) = 242 kJ mol-1
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 7
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 8

Question 16.
For an isolated system, ΔU = 0, what will be ΔS?
Solution.
When energy factor has no role to play, for the process to be spontaneous ΔS must be +ve i.e., ΔS > 0.

Question 17.
For the reaction at 298 K, 2A + B → C,
ΔH = 400 kJ mol-1 and ΔS = 0.2 kJ K-1 mol-1 At what temperature will the reaction become spontaneous considering ΔH and ΔS to be constant over the temperature range.
Solution.
According to Gibbs Helmholtz equation, ΔG = ΔH – TΔS.
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 9

Question 18.
For the reaction, 2Cl(g) → Cl2(g), what are the signs of ΔH and ΔS?
Solution.
ΔH is negative because bond energy is released and ΔS is negative because there is less randomness among the molecules than among the atoms.

Question 19.
For the reaction
2A(g) + B(g) → 2D(g), ΔU° = -10.5 kJ and ΔS° = – 44.1 JK-1.
Calculate ΔG° for the reaction, and predict whether the reaction may occur spontaneously.
Solution.
ΔH° = ΔU° + Δn(g)RT
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 10

Question 20.
The equilibrium constant for a reaction is 10. What will be the value of ΔG° ?
R = 8.314J K-1 mol-1, T= 300 K.
Solution.
We know that ΔG° = – 2.303RT logK
= – 2.303 x 8.314 x 300 x log10
= – 5744.14 J/mol

Question 21.
Comment on the thermodynamic stability of NO(g), given
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 11
Solution.
Since Δ(r)H° is +ve, i.e., enthalpy of formation of NO is positive, therefore NO is unstable. But Δ(r)H° is negative for the formation of NO2. So, NO2 is stable.

Question 22.
Calculate the entropy change in surroundings when 1.00 mol of H2Ol is formed under standard conditions.
Δ(r)H° = – 286 kJ mol-1.
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 6 Thermodynamics 12

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NCERT MCQ CLASS-9 CHAPTER-1 | SOCIAL SCIENCE IMPORTANT MCQ | | GEOGRAPHY IMPORTANT QUESTIONS | | INDIA SIZE AND LOCATION | EDUGROWN

NCERT MCQ ON INDIA SIZE AND LOCATION

1. What is the latitude extension of India?
(a) 8°4’N to 37°6’N
(b) 8°4’N to 23°30’N
(c) 10°4’N to 23°30’N
(d) 12°4’N to 37°6’N

Ans. (a) 8°4’N to 37°6’N

2. What is the longitude extension of India?
(a) 8°4’N to 37°6’N
(b) 68°7’E to 97°25’E
(c) 23°30’N
(d) none

Ans. (b) 68°7’E to 97°25’E.

3. The tropic of Cancer passes through-
(a) 23°30’S
(b) 23°30’N
(c) 8°4’N
(d) 37°6’N

Ans. (b) 23°30’N

4. Which is the largest country of world in terms of area?
(a) Russia
(b) China
(c) India
(d) Pakistan

Ans. (a) Russia

5. Which is the largest country of world in terms of population?
(a) Russia
(b) China
(c) Pakistan
(d) America

Ans. (b) China

6. India’s rank in the world in terms of area is
(a) 4th
(b) 1st
(c) 6th
(d) 7th

Ans. (d) 7th

7. From Gujarat to Arunachal Pradesh there is a time lag of how many hours?
(a) 2
(b) 1
(c) half
(d) none.

Ans. (a) 2

8. The standard meridian of India passing through –
(a) 82°30’E
(b) 23°30’N
(c) 8°4’N
(d) 37°6’N

Ans. (a) 82°30’E

9. Palk Strait separates India from which country?
(a) Sri Lanka
(b) Pakistan
(c) China
(d) Bangladesh

Ans. (a) Sri Lanka

10. In India, tropic of Cancer passes through how many Indian states?
(a) 4
(b) 6
(c) 8
(d) 9

Ans. (c) 8

11. The Tropic of Cancer does not pass through
(a) Rajasthan
(b) Orissa
(c) Chhattisgarh
(d) Tripura.

Ans. (b) Orissa

12. Uttaranchal, Uttar Pradesh, Bihar, West Bengal and Sikkim have common frontiers with
(a) China
(b) Bhutan
(c) Nepal
(d) Myanmar.

Ans. (c) Nepal.

13. India’s total area is how much percent of the total geographical area of the world?
(a) 2.9%
(b) 2.4%
(c) 3.6%
(d) 30%

Ans. (b) 2.4%.

14.The capital of Mizoram is-
(a) Imphal
(b) Kohima
(c) Agartala
(d) Aizwal

Answer :  D Aizwal

15. Which geographical feature bounds India’s mainland south of 22°N latitude?
(a) Young Fold Mountains
(b) Sandy Desert
(c) Lava Plateaus
(d) Seas and Ocean

Answer :  D Seas and Ocean


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NCERT MCQ CLASS-9 CHAPTER-8 | SOCIAL SCIENCE IMPORTANT MCQ | | HISTORY IMPORTANT QUESTIONS | | CLOTHING : A SOCIAL HISTORY | EDUGROWN

NCERT MCQ ON CLOTHING : A SOCIAL HISTORY

Question 1: Wearing of which two things created misunderstanding and conflict between the British and the Indians?

  • a) The wearing of turban and shoes
  • b) The umbrella and gold ornaments
  • c) The wearing of saris and dhotis
  • d) The wearing of gowns and long skirts

Answer: The wearing of turban and shoes

Question2: When was slavery abolished in Travancore? What did it result in?

  • a) 1855, frustration among upper castes
  • b) 1865, shortage of labour force
  • c) 1867, end of caste system
  • d) 1895, permission to Shanar women to cover the upper part of their body

Answer: 1855, frustration among upper castes

Question 3: Why were Shanar women attacked by Nair’s in May 1922?

  • a) For using umbrellas
  • b) For wearing a tailored blouse
  • c) For wearing a cloth across their upper bodies
  • d) For wearing gold ornaments

Answer: For using umbrellas

Question 4: Dresses in India were defined by

  • a) Both Sumptuary laws and Caste system
  • b) Sumptuary laws
  • c) Caste system
  • d) None of the options

Answer: Both Sumptuary laws and Caste system

Question 5: To some Indians western clothes were a sign of

  • a) Both Progress and Modernity
  • b) Progress
  • c) Modernity
  • d) Freedom from poverty

Answer: Both Progress and Modernity

Question 6: Who was the first among the Indians to adopt the western-style clothing?

  • a) Parsies
  • b) Christians
  • c) Gujaratis
  • d) Maharashtrians

Answer: Parsies

Question 7: Which of the following were among other important changes that came about for women?

  • a) All the options
  • b) Trousers became a vital part of western women’s clothing
  • c) Women took to cutting their hair short for convenience
  • d) As women took to gymnastics and games, they had to wear clothes that did not hamper movement

Answer: All the options

Question 8: Radical changes in women’s clothing came about due to the`

  • a) Both World War I and World War II
  • b) Russian Revolution
  • c) World War I
  • d) World War II

Answer: Both World War I and World War II

Question 9: When and where was Rational Dress Society started?

  • a) 1881, England
  • b) 1880, USA
  • c) 1882, France
  • d) 1883, Russia

Answer: 1881, England

Question 10: When did women in England start agitating for democratic rights?

  • a) 1830s
  • b) 1820s
  • c) 1840s
  • d) 1850s

Answer: 1830s

Question 11: How did clothing play a part in creating the image of frail, submissive women?

  • a) All the options
  • b) From childhood, girls were tightly laced up
  • c) When slightly older, girls had to wear tight fitting corsets
  • d) Tightly laced, small waisted women were admired as attractive, elegant and graceful

Answer: All the options

Question 12: In Victorian England why were women from childhood tightly laced up and dressed in stays, because:

  • a) Women looked graceful in these dresses
  • b) They were dutiful and docile
  • c) These clothes helped in creating the expected image of girls
  • d) Women were trained to bear and suffer

Answer: Women looked graceful in these dresses

Question 13: England passed a law which compelled all persons over 6 years of age, except those of high position, to wear woolen caps made in England on Sundays and all holy days. What does this mean?

  • a) Some sumptuary laws were passed to protect home production against imports
  • b) All sumptuary laws were meant to emphasis social hierarchy
  • c) Some sumptuary laws were made to promote the religion
  • d) None of the options

Answer: Some sumptuary laws were passed to protect home production against imports

Question 14: Which of the following were among the things that became a symbol of equality and liberty among the French people?

  • a) All the options
  • b) The color’s of France -blue, white and red
  • c) The red cap
  • d) Revolutionary cockade pinned on to a hat

Answer: All the options

Question 15 : The simplicity of clothing of Sans-Culottes was meant to express

  • a) The idea of equality
  • b) The poverty among the common people
  • c) The prosperity of textile industries
  • d) None of the options

Answer: The idea of equality

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NCERT MCQ CLASS-9 CHAPTER-7 | SOCIAL SCIENCE IMPORTANT MCQ | | HISTORY IMPORTANT QUESTIONS | | | HISTORY AND SPORT : THE STORY OF CRICKET | EDUGROWN

NCERT MCQ ON HISTORY AND SPORT : THE STORY OF CRICKET

Question 1.
When were first written Law of Cricket drawn?

(a) 1754
(b) 1764
(c) 1744
(d) 1756

Answer: (c) In 1744

Question 2.
In which year cricket was changed forever?

(a) In 1977
(b) In 1977
(c) In 1987
(d) In 1783

Answer: (a) In 1977

Question 3.
When was six seem ball created?

(a) In 1980
(b) In 1880
(c) In 1780
(d) In 1680

Answer: (c) In 1780

Question 4.
Who led the professional team in 1930’s?
(a) Len Hutten
(b) W.C. Grace
(c) David Hutton
(d) David Gover

Answer: (a) Len Hutten

Question 5.
The word cockade refers to:

(a) type of fur
(b) type of cricket ball
(c) type of the bat used by batsman
(d) cap usually worn on one side

Answer: (d) cap usually worn on one side

Question 6.
What is the full from of ICC?

(a) International Cricket Council
(b) International Cricket Co-operative Nation
(c) International Cricket Confederation
(d) Imperial Cricket Council

Answer: (a) International Cricket Council

Question 7.
Which was the first Indian Community to play cricket?

(a) Parsies
(b) Zoroastrian
(c) Trader and businessmen
(d) Social weaker section of the society

Answer: (b) Zoroastrian

Question 8.
Where was cricket invented?

(a) In England
(b) In Australia
(c) In West Indies
(d) In South Africa

Answer: (a) In England

Question 9.
First cricket club formed in 1760’s in

(a) Melbourne
(b) Lords
(c) Manchester
(d) Hambleton

Answer: (d) Hambleton

Question 10.
When was cricket invented?

(a) In early 19th century
(b) In early 17th century
(c) In early 16th century
(d) In mid of the 17th century

Answer: (c) In early 16th century

Question 11.
Armatures stand for:

(a) Reserve players
(b) Rich people who could afford to play cricket
(c) Rich people who have no time to play cricket
(d) Poor people who could play cricket

Answer: (b) Rich people who could afford to play cricket

Question 12.
Who are professional in cricket?

(a) Those who play cricket for enjoyment.
(b) Those who play cricket for time pass.
(c) Those who play cricket for living.
(d) Those who play cricket as a hobby.

Answer: (c) Those who play cricket for living.

Question 13.
Where was India’s first cricket club established?

(a) In Mumbai
(b) In Calcutta (Kolkata)
(c) In Madras (Chennai)
(d) In Delhi at Firoz Shah Kotla

Answer: (b) In Calcutta (Kolkata)

Question 14.
What is the specified length of the pitch?

(a) 22 yards
(b) 22 feet
(c) 22 metres
(d) 80 feet

Answer: (a) 22 yards

Question 15.
Where cricket was invented?

(a) In England
(b) In Australia
(c) In West Indies
(d) In South Africa

Answer: (a) In England



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CLASS 11th CHAPTER -5 States of Matter |Chemistry | NCERT SOLUTION| EDUGROWN

NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter includes all the important topics with detailed explanation that aims to help students to understand the concepts better. Students who are preparing for their Class 11Chemistry exams must go through NCERT Solutions for Class 11 Chemisrty Chapter 5 States of Matter. NCERT Solutions will make you understand the topics in most simple manner and grasp it easily to perform better.

NCERT Solutions for Class 11 Chemistry Part 1

Chemistry Part 1 Class 11 will introduce you to basic concepts of subjects, about atoms, chemical bonding and other topics. There are 7 chapters through which learners can study in an organized manner and improve their studying habits.

Class 11th Chapter -5 States of Matter | NCERT CHEMISRTY SOLUTION |

NCERT Exercises

Question 1.
What will be the minimum pressure required to compress 500 dm3 of air at 1 bar to 200 dm3 at 30°C?
Solution.
According to Boyle’s law, at constant temperature,
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 1

Question 2.
A vessel of 120 mL capacity contains a certain amount of gas of 35°C and 1.2 bar pressure. The gas is transferred to another vessel of volume 180 mL at 35°C.What would be its pressure?
Solution.
Since temperature and amount of gas remain constant, therefore, Boyle’s law is applicable.
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 2

Question 3.
Using the equation of state PV = nRT; show that at a given temperature density of a gas is proportional to gas pressure P.
Solution.
According to ideal gas equation for ‘n’ moles of a gas,
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 3

Question 4.
At 0°C, the density of a certain oxide of a gas at 2 bar is same as that of dinitrogen at 5 bar. What is the molecular mass of the oxide?
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 4

Question 5.
Pressure of 1 g of an ideal gas A at 27°C is found to be 2 bar. When 2 g of another ideal gas B is introduced in the same flask at same temperature the pressure becomes 3 bar. Find a relationship between their molecular masses.
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 5

Question 6.
The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20°C and one bar will be released when 0.15 g of aluminium reacts?
Solution.
The reaction between aluminium and caustic soda is
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 6

Question 7.
What will be the pressure exerted by a mixture of 3.2 g of methane and 4.4 g of carbon dioxide contained in a 9 dm3 flask at 27°C?
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 7

Question 8.
What will be the pressure of the gaseous mixture when 0.5 L of H2 at 0.8 bar and 2.0 L of dioxygen at 0.7 bar are introduced in a 1 L vessel at 27°C?
Solution.
Partial pressure of hydrogen gas
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 8

Question 9.
Density of a gas is found to be 5.46 g/dm3 at 27°C and at 2 bar pressure. What will be its density at STP?
Solution.
We know that PV = nRT
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 9

Question 10.
34.05 mL of phosphorus vapours weigh 0.0625 g at 546°C and 0.1 bar pressure. What is the molar mass of phosphorus?
Solution.
Molar mass of phosphorus, M
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 10

Question 11.
A student forgot to add the reaction mixture to the round bottomed flask at 27°C but instead he/she placed the flask on the flame. After a lapse of time, he realized his mistake, and using a pyrometer he found the temperature of the flask was 477°C. What fraction of air would have been expelled out?
Solution.
Suppose the number of moles of gas present at 27°C in flask of volume V at pressure P is n1 then assuming ideal gas behaviour,
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 11

Question 12.
Calculate the temperature of 4.0 mol of a gas occupying 5 dm3 at 3.32 bar.
(R – 0.083 bar dm3 K-1 mol-1)
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 12

Question 13.
Calculate the total number of electrons present in 1.4 g of dinitrogen gas.
Solution.
Number of moles of dinitrogen
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 13

Question 14.
How much time would it take to distribute one Avogadro number of wheat grains, if 1010 grains are distributed each second?
Solution.
Time taken to distribute 1010 grains = 1 sec.
Time taken to distribute 6.023 x 1023 grains
=\frac { 1\times 6.022\times { 10 }^{ 23 } }{ { 10 }^{ 10 } } =6.022\times { 10 }^{ 23 }\quad sec
=\frac { 6.022\times { 10 }^{ 13 } }{ 60\times 60\times 24\times 365 } =1.90956\times { 10 }^{ 6 }\quad years

Question 15.
Calculate the total pressure in a mixture of 8 g of dioxygen and 4 g of dihydrogen confined in a vessel of 1 dm3 at 27°C.
R = 0.083 bar dm3 K-1 mol-1
Solution.
Partial pressure of oxygen gas,
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 14

Question 16.
Payload is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the payload when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density of air =1.2 kg m-3 and R = 0.083 bar dm3 K-1 mol-1)
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 15

Question 17.
Calculate the volume occupied by 8.8 g of CO2 at 31.1°C and 1 bar pressure.
(R = 0.083 bar L K-1 mol-1)
Solution.
According to ideal gas equation, PV= nRT
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 16

Question 18.
2.9 g of a gas at 95°C occupied the same volume as 0.184 g of dihydrogen at 17°C, at the same pressure. What is the molar mass of the gas?
Solution.
Let molar mass of gas = M
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 17

Question 19.
A mixture of dihydrogen and dioxygen at one bar pressurecontains 20% by weight of dihydgrogen. Calculate the partial pressure of dihydrogen.
Solution.
Let the total mass of the mixture be 100 g
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 18
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 19

Question 20.
What would be the SI unit for the quantity pV2T2/n?
Solution.
NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter 20

Question 21.
In terms of Charles’ law explain why -273°C is the lowest possible temperature.
Solution.
According to Charles’ law,
Volume of gas at 1°C,
{ V }_{ t }={ V }_{ 0 }\left[ 1+\frac { t }{ 273 } \right]  (∵ V0 = Volume at 0°C)
Volume of gas at -273°C, V={ V }_{ 0 }\left[ 1+\frac { 273 }{ 273 } \right] =0
Thus, -273°C is the lowest possible temperature because below this temperature, the volume will become negative, and that is meaningless. This lowest temperature is called absolute zero temperature.

Question 22.
Critical temperature for carbon dioxide and methane are 31.1°C and -81.9°C respectively. Which of these has stronger intermolecular forces and why?
Solution.
Higher the critical temperature, more easily the gas can be liquefied i.e. greater are the intermolecular forces of attraction, CO2 has stronger intermolecular forces than methane.

Question 23.
Explain the physical significance of van der Waals parameters.
Solution.
van der Waals constant ‘a’ is a measure of the magnitude of the attractive forces among the molecules of a gas, while constant ‘b’ is a measure of effective size of the gas molecules.

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CLASS 11th CHAPTER -4 Chemical Bonding and Molecular Structure |Chemistry | NCERT SOLUTION| EDUGROWN

NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure includes all the important topics with detailed explanation that aims to help students to understand the concepts better. Students who are preparing for their Class 11 Chemistry exams must go through NCERT Solutions for Class 11 Chemisrty Chapter 4 Chemical Bonding and Molecular Structure. NCERT Solutions will make you understand the topics in most simple manner and grasp it easily to perform better.

NCERT Solutions for Class 11 Chemistry Part 1

Chemistry Part 1 Class 11 will introduce you to basic concepts of subjects, about atoms, chemical bonding and other topics. There are 7 chapters through which learners can study in an organized manner and improve their studying habits.

Class 11th Chapter -4 Chemical Bonding and Molecular Structure| NCERT CHEMISRTY SOLUTION |

NCERT Exercises

Question 4.1
Explain the formation of a chemical bond.
Answer.
The attractive force which holds various constituents (atoms, ions, etc.) together in different chemical species is called a chemical bond. The formation of chemical compounds takes place as a result of combination of atoms in different ways. The atoms interact with each other on account of following reasons :
(i) Lowering of energy of combining atoms : The process of bonding between the atoms decreases the energy of the combining atoms and gives rise to the formation of a system which has lower energy and hence has greater stability.
(ii) Lewis octet rule : Octet theory of valency or electronic theory of valency states that in the formation of a chemical bond, atoms interact with each other by losing, gaining or sharing of electrons so as to acquire a stable outer shell of eight electrons. The tendency of atoms to achieve eight electrons in their outermost shell is known as Lewis octet rule.

Question 4.2
Write Lewis dot symbols for atoms of the following elements:
Mg, Na, B, O, N, Br.
Answer.
Lewis dot symbols :
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 1

Question 4.3
Write Lewis symbols for the following atoms and ions:
S and S2-; Al and Al3+; H and H
Answer.
Lewis symbols:
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 2
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 3

Question 4.4
Draw the Lewis structures for the following molecules and ions:
H2S, SiCl4, BeF2{ CO }_{ 3 }^{ 2- }, HCOOH.
Answer.
Lewis structures :
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 4

Question 4.5
Define octet rule. Write its significance and limitations.
Answer.
Octet rule : The tendency of atoms in molecules to have eight electrons in their valence shells (two for hydrogen atom) is known as the octet rule.
Significance :

  1. It explains the formation of most of the compounds.
  2. It is quite useful for understanding the structures of most of the organic compounds.

Limitations:

  1. In some compounds, the number of electrons surrounding the central atom is less than eight e.g., LiCl, BeH2 and BCl3.
  2. In molecules with an odd number of electron like nitric oxide (NO) and nitrogen dioxide (NO2), the octet rule is not satisfied for all the atoms.
    NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 5
  3. In a number of compounds there are more than eight valence electrons around the central atom. This is termed as the expanded octet. Some of the examples of such compounds are PF5, SF6, H2SO4 and a number of coordination compounds.

Question 4.6
Write the favourable factors for the formation of ionic bond.
Answer.
The following factors facilitate the formation of an ionic bond between a metal and a non-metal:

  1. Ionization energy : Lesser the ionization energy, greater is the ease of formation of a cation.
  2. Electron affinity : High electron affinity favours formation of an anion.
  3. Lattice Energy : It is defined as the amount of energy released when cations and anions are brought close to each other from infinity to their respective equilibrium sites in the crystal lattice to form one mole of the ionic compound. The higher the magnitude of the lattice energy, the greater is the tendency of the formation of an ionic bond.

Question 4.7
Discuss the shape of the following molecules using the VSEPR model: BeCl2, BCl3, SiCl4, AsF5, H2S, PH3.
Answer.
According to VSEPR theory, the shape of molecule depends upon the number of valence shell electron pairs (bonded or non bonded) around the central atom.
(i) BeCl2: Presence of two bond pairs and lack of lone pairs gives it linear shape. Cl: Be : Cl
(ii) BCl3 : Presence of three bond pairs and lack of lone pairs gives it trigonal planar geometry.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 6
(iii) SiCl4 : Presence of four bond pairs and lack of lone pairs gives it tetrahedral geometry.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 7
(iv) AsF5 : Presence of five bond pairs and lack of lone pairs gives it trigonal bipyramidal geometry.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 8
(v) H2S : Presence of two bond pairs and two lone pairs gives it angular or bent shape.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 9
(vi) PH3 : Presence of three bond pairs and one lone pair gives it trigonal pyramidal shape.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 10

Question 4.8
Although geometries of NH3and H20 molecules are distorted tetrahedral, bond angle in water is less than that of ammonia. Discuss.
Answer.

Bond angle in NH3 is 107.5° and in H2O, angle is 104.5°. In H2O, oxygen has two lone pairs and in NH3, nitrogen has only one lone pair. In H2O, two lone pairs on oxygen repel each other and the bonded pairs more strongly and cause them to come closer thereby reducing the angle.

Question 4.9
How do you express the bond strength in terms of bond order?
Answer.
Greater the bond order, shorter is the bond length and so, higher is the bond strength.

Question 4.10
Define the bond length.
Answer.
The equilibrium distance between the centres of the nuclei of two atoms bonded together is termed as bond length or bond distance.
Bond length in ionic compounds = { r }_{ c }^{ + }+{ r }_{ a }^{ - }
Bond length in covalent compounds (AB) = rA+ rB

Question 4.11
Explain the important aspects of resonance with reference to the { CO }_{ 3 }^{ 2- }  ion.
Answer.
Whenever a single Lewis structure cannot describe a molecule accurately, a number of structures with similar energy, positions of nuclei, bonding and non-bonding pairs of electrons, known as the canonical forms of the hybrid are taken, which describe the molecule accurately. This phenomenon is known as resonance.
Resonance hybrid structures of carbonate ion are shown as follows :
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 11

  1. The relative position of all the atoms in each of the canonical forms is same.
  2. The number of unpaired and paired electrons in each of the canonical forms is same.
  3. Negative charge is residing on more electronegative atom.
  4. As a result of resonance, bond length and bond order is same.

Question 4.12
H3PO3 can be represented by structures (i) and(ii) shown below. Can these two structures be taken as the canonical forms of the resonance hybrid representing H3PO3? If not, give reasons for the same.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 12
Answer.
These two cannot be called as canonical forms as relative position of hydrogen is changed. In resonance, canonical forms should differ only in the position of electrons and not in the position of atoms.

Question 4.13
Write the resonance structures for SO3, NO2 and { NO }_{ 3 }^{ - } .
Answer.
SO3
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 13

NO2
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 14

Question 4.14
Use Lewis symbols to show electron transfer between the following atoms to form cations and anions :
(a) K and S
(b) Ca and O
(c) Al and N.
Answer.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 15

Question 4.15
Although both CO2 and H2O are triatomic molecules, the shape of H20 molecule is bent while that of CO2 is linear. Explain this on the basis of dipole moment.
Answer.
Even though both CO2 and H2O are triatomic, but CO2, has zero dipole moment. It implies that CO, has a symmetrical structure which is possible only when it is linear. However, H20 has a net dipole moment suggesting that the molecule is non-linear.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 16

Question 4.16
Write the significance/applications of dipole moment.
Answer.
Applications of dipole moment are :

  1. To decide polarity of the molecule : Molecules having zero dipole moment are said to be non-polar molecules and those having µR ≠ 0 are polar in nature.
  2. To determine percentage of ionic character :
    Percentage of ionic character
    =\frac { Experimental\quad value\quad of\quad dipole\quad moment }{ Theoretical\quad value\quad of\quad dipole\quad moment } \times 100
  3. To determine geometry of molecules: The values of dipole moments provide valuable information about the structures of molecules.
    • CO2, CS2 are linear as values of their dipole moments are zero.
    • H2O is non-linear as it has a net dipole moment.

Question 4.17
Define electronegativity. How does it differ from electron gain enthalpy?
Answer.
The relative tendency of a bonded atom to attract the shared electron pair towards itself is called electronegativity while electron gain enthalpy is the energy change that occurs for the process of adding an electron to a gaseous isolated atom to convert it into a negative ion i.e., to form, a monovalent anion. Electron gain enthalpy and electronegativity both measure the power of attracting electrons, but electron gain enthalpy is concerned with an isolated gaseous atom while electronegativity is concerned with the atom in combination.

Question 4.18
Explain with the help of suitable example polar covalent bond.
Answer.
In a hetero-atomic molecule the shared pair of electrons between the two atoms gets displaced more towards the electronegative atom. The resultant covalent bond is polar covalent bond e.g., in H – F the electron pair is displaced towards fluorine due to highly electronegative F atom. Hence H develops a partial +ve charge while F develops a partial
-ve charge \overset { \delta + }{ H } -\overset { \delta - }{ F } .

Question 4.19
Arrange the bonds in order of increasing ionic character in the molecules : LiF, K2O, N2, SO2 and CIF3.
Answer.
As per Fajan’s rule, N2 < SO2 < CIF2 < K2O < LiF

Question 4.20
The skeletal structure of CH3COOH as shown below is correct, but some of the bonds are shown incorrectly. Write the correct Lewis structure for acetic acid
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 17
Answer.
In the given figure, hydrogen has valency of two, which is not possible and also octet of oxygen is not complete.
So, the correct structure is
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 18

Question 4.21.
Apart from tetrahedral geometry, another possible geometry for CH4 is square planar with the four H atoms at the corners of the square and the C atom at its centre. Explain why CH4 is not square planar?
Answer.
In CH4 only bond pairs are there and no lone pairs are present so, to attain most stabilized structure it arranges itself in tetrahedral geometry with greater bond angle of 109° rather than in square planar geometry with lesser bond angle of 90°.

Question 4.22
Explain why BeH2molecule has a zero dipole moment although the Be—H bonds are polar?
Answer.
The dipole moment in case of BeH2 is zero. This is because the two equal bond dipoles point in opposite directions and cancel the effect of each other.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 19

Question4. 23
Which out of NH3 and NF3 has higher dipole moment and why?
Answer.
Both the molecules NH3 and NF3 have pyramidal shape with a lone pair of electron on nitrogen atom. Although fluorine is more electronegative than nitrogen, the resultant dipole moment of NH3 (4.90 x 10-30 C m) is greater than that of NF3 (0.8 x 103 the orbital dipole due to lone pair is in the same direction as the resultant dipole moment of the N—H bonds whereas in NF3 the orbital dipole is in the direction opposite to the resultant dipole moment of the three N—F bonds. The orbital dipole because of lone pair decreases the effect of the resultant N—F bond moment which results in low dipole moment of NF3 as represented below :
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 20

Question 4.24
What is meant by hybridisation of atomic orbitals? Describe the shapes of sp, sp2, sp3 hybrid orbitals.
Answer.
Hybridisation can be defined as the process of intermixing of the orbitals of slightly different energies so as to redistribute their energies, resulting in the formation of new set of orbitals of equivalent energies and shape.
Salient features of hybridisation : The main features of hybridisation are as under :

  1. The number of hybrid orbitals is equal to the number of the atomic orbitals that undergo hybridisation.
  2. The hybrid orbitals are always equivalent in energy and shape.
  3. The hybrid orbitals are more effective in forming stable bonds than the pure atomic orbitals.
  4. These hybrid orbitals are directed in space in some preferred directions to have minimum repulsion between electron pairs and thus have a stable arrangement. Therefore, the type of hybridisation indicates the geometry of the molecules.

Important conditions for hybridisation :

  1. Only those orbitals that are present in the valence shell of the atom undergo hybridisation.
  2. The orbitals undergoing hybridisation should have almost equal energy.
  3. Promotion of electron is not essential condition prior to hybridisation.
  4. It is not necessary that only half filled orbitals participate in hybridisation. In some cases, even filled orbitals of valence shell take part in hybridisation.

Shapes of hybrid orbitals :

(i) sp-hybridisation : One ‘s’ and one ‘p’ orbital of an atom intermix giving two sp-hybrid orbitals making an angle of 180° with each other. Each hybrid orbital has 50% s and 50% p-orbital character.
The molecules having such type of hybridisation in their central atom have linear geometry with bond angles 180°. Examples : BeCl2, C2H2, CO2, HgCl2, CS2, N2O, BeH2, etc.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 21

(ii) sp2-hybridisation : One ‘s’ and two ‘p’ orbitals of an atom intermix giving three sp2-hybrid orbitals, which are directed towards the corners of an equilateral triangle making an angle of 120° with each other. Each hybrid orbital has 33.3% s and 66.7% p-orbital character. The molecules having such type of hybridisation in their central atom are expected to have triangular planar geometry with bond angles 120°.
Examples : BCl3, BF3, SO3, C2H4, Graphite, SO2, etc.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 22

(iii) sp2-hybridisation : One ‘s’ and three ‘p’ orbitals of an atom intermix giving four sp2-hybrid orbitals, which are directed towards the corners of a regular tetrahedron making an angle of 109°28′. Each hybrid orbital has 25% s- and 75% p-orbital character. The molecules having such type of hybridisation in their central atom are expected to have tetrahedral geometry with bond angles 109°28′.
Examples : CH4, C2H6, CCl4, H2O, NH3, diamond, etc.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 23

Question 4.25
Describe the change in hybridisation (if any) of the Al atom in the following reaction.
Alcl3 + cl → { AlCl }_{ 4 }^{ - }
Answer.
There is change in hybridization from sp2 → sp3. In AlCl3, Al is sp2 hybridised. AlCl3 thus has three sp2 hybrid orbitals and a vacant unhybrid p-orbital. When { AlCl }_{ 4 }^{ - } is formed, Al undergoes sp3 hybridisation and thus Cl overlaps with the fourth orbital.

Question 4.26.
Is there any change in the hybridisation of B and N atoms as a result of the following reaction? BF3 + NH3 → F3B.NH3
Answer.
In BF3, B is sp2 hybridised and has one vacant p-orbital which gets filled by accepting a lone pair of electron present on the N-atom of NH3. Nitrogen in this adduct acts as donor atom and BF3 acts as an acceptor. So, hybridization of B in BF3 changes from sp2 to sp3 whereas there is no change in hybridization of N in NH3 and in the adduct.

Question 4.27
Draw diagrams showing the formation of a double bond and a triple bond between carbon atoms in C2H4 and C2H2 molecules.
Answer.
C2H4 molecule
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 24

C2H2 molecule
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 25

Question 4.28.
What is the total number of sigma and pi bonds in the following molecules?
(a) C2H2
(b) C2H4
Answer.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 26

Question 4.29.
Considering x-axis as the internuclear axis which out of the following will not form a sigma bond and why?
(a) 1s and 1s
(b) 1s and 2px
(c) 2py and 2py
(d) 1s and 2s
Answer.
A bond formed between two atoms by the overlap of singly occupied orbitals along their axes (end to end overlap) is called c bond. Hence, 1s and 1s, 1s and 2px and 1s and 2s will form σ bonds. π bonds are formed by the sidewise or lateral overlapping of p-orbitals. Hence, pyand py orbitals will form π bond.

Question 4.30.
Which hybrid orbitals are used by carbon atoms in the following molecules?
(a) CH3CH3
(b) CH3CH = CH2
(c) CH3CH2OH
(d) CH3CHO
(e) CH3COOH
Answer.
(a) sp3, sp3
(b) sp3, sp2, sp2
(c) sp3, sp3
(d) sp3, sp2
(e) sp3, sp2

Question 4.31
What do you understand by bond pairs and lone pairs of electrons? Illustrate by giving one example of each type.
Answer.
Bond pairs are the pairs of electrons taking part in bonding e.g.,
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 27
A pair of electrons in a molecule which is not shared by any of the two constituent atoms i.e., does not take part in the direct bonding is called a lone pair e.g.,
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 28

Question 4.32.
Distinguish between a sigma and a pi bond.
Answer.
Comparison between σ and π bonds

 Sigma bondPi bond
1.The bond is formed by the overlap of orbitals along their axes (end to end overlap). It includes s-s and p-p overlapping.

The bond is formed by sidewise overlapping of orbitals (lateral overlapping).

It includes p-p overlapping.

2.It is a strong bond.It is a weak bond.

3.

There can be free rotation of atoms around this bond.Free rotation is not possible around this bond.
4.The shape of the molecule is determined by these bonds.These bonds do not affect the shape of the molecule.
5.o-electrons are referred to as localized electrons.71-electrons are referred to as mobile electrons.

Question 4.33.
Explain the formation of H2 molecule on the basis of Valence Bond Theory.
Answer.

We can consider two hydrogen atoms A and B approaching each other having nuclei NA and NA and electrons present in them are represented by eA and eA. When the two atoms are at large distance from each other, there is no interaction between them. As these two atoms begin to approach each other, new attractive and repulsive forces begin to operate.
Attractive forces arise between :

  1. nucleus of one atom and its own electron that is NA – eA and NB – eB.
  2. nucleus of one atom and electron of other atom i.e., NA – eB, NB – eA.

Similarly repulsive forces arise between :

  1. electrons of two atoms like eA – eB.
  2. nuclei of two atoms NA – NB.
    Attractive forces tend to bring the two atoms close to each other whereas repulsive forces tend to push them apart.
    NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 29
  3. Experimentally it has been found that the magnitude of new attractive forces is more than the new repulsive forces. As a result, two atoms approach each other and potential energy decreases. Ultimatelv a stage is reached where the net force of attraction balances the force of repulsion and system acquires minimum energy. At this stage two hydrogen atoms are said to be bonded together to form a stable molecule having the bond length of 74 pm.
    Since the energy gets released when the bond is formed between two hydrogen atoms, the hydrogen molecule is more stable than isolated hydrogen atoms. The energy so released is caljed bond enthalpy, which corresponds to the minimum in the curve depicted in fig. Conversely, 435.8 kj of energy is required to dissociate one mole of H2 molecule.
    H2(g) + 435.8 kj mol-1 → H(g) + H(g)

Question 4.34
Write the important conditions required for the linear combination of atomic orbitals to
form molecular orbitals.
Answer.
Necessary conditions for linear combination of atomic orbitals :

  1. The symmetry and relative energies of combining atomic orbitals A and B must be close to each other.
  2. The extent of overlap between the charge clouds of A and B should be large,
  3. Atomic orbitals of the same sign should overlap.

Question 4.35
Use molecular orbital theory to explain why Be2 molecule does not exist.
Solution.
Beryllium atom has electronic configuration 1s2 2s2. So, in Be2 there are a total of eight electrons which must be filled in four molecular orbitals.
M.O. configuration of Be2 → σ1s2σ*1s2 σ2s2 σ*2s2
B.O. = 1/2(4 – 4) = 0. Since the bond order is zero it shows that molecular beryllium will not exist.

Question 4.36
Compare the relative stability of the following species and indicate their magnetic properties; O2,{ O }_{ 2 }^{ + }{ O }_{ 2 }^{ - } (superoxide), { O }_{ 2 }^{ 2- } (peroxide).
Answer.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 30

Question 4.37
Write the significance of a plus and a minus sign shown in representing the orbitals.
Answer.
The plus ancj minus sign indicate the sign of the wave function in the various lobes and not that of the nuclear or electronic charges. The ‘+’ sign (or upward crest) represents one phase and thesign represents second phase of the wave function. Bonding molecular orbital is formed by combination of ‘+’ with ‘+’ and with part of the electron waves whereas antibonding molecular orbital is formed by combination of ‘+’ with part of the electron waves.
As orbitals are represented by wave functions, a plus sign in an orbital represents a +ve wave function and a minus sign represents a -ve wave function.

Question 4.38
Describe the hybridisation in case of PCl5. Why are the axial bonds longer as compared to equatorial bonds?
Answer.
Formation of PCl5 (sp3d hybridisation):
The ground state and the excited state outer electronic configurations of phosphorus (Z = 15) are represented here.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 31
Now the five orbitals (i.e., one s, three p and one d orbital) are available for hybridisation to yield a set of five sp3d hybrid orbitals which are directed towards the five corners of a trigonal bipyramid as depicted in the figure.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 32
All the bond angles in trigonal bipyramidal geometry are not equivalent. In PCl5 the five sp3d orbitals of phosphorus overlap with the singly occupied p orbitals of chlorine atoms to form five P-Cl sigma bonds. Three P-Cl bonds lie in one plane and make angle of 120° with each other; these bonds are termed as equatorial bonds. The remaining two P-Cl bonds, one lying above and the other lying below the equatorial plane, make an angle of 90° with the plane. These bonds are called axial bonds. As the axial bond pairs suffer more repulsive interaction from the equatorial bond pairs, therefore axial bonds have been found to be slightly longer and hence slightly weaker than the equatorial bonds.

Question 4.39
Define hydrogen bond. Is it weaker or stronger than the van der Waals forces?
Answer.
Hydrogen bond can be defined as an attractive force which binds hydrogen atom of one molecule with the electronegative atom (F, O or N) of another molecule. Following conditions should be fulfilled by a molecule for the formation of hydrogen bond.
(a) Hydrogen atom should be linked to a highly electronegative atom, such as F, O or N through a covalent bond.
(b) The size of the electronegative atom bonded covalently to the hydrogen atom should be small.
Types of H-bonding:
Intermolecular hydrogen bond : When hydrogen bond is formed between the hydrogen atom of one molecule and the electronegative atom of another molecule of the same compound (such as HF) or different compounds (such as water and alcohol), it is known as intermolecular hydrogen bond.
>NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 33
Intermolecular Hydrogen bond : When hydrogen bond is formed between the hydrogen atom and an electronegative atom, present in the same molecule, it is known as intramolecular hydrogen
bond.
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 34
H-bonding is stronger than van der Waals forces.

Question 4.40
What is meant by the term bond order?
Calculate the bond order of: N2,O2,{ O }_{ 2 }^{ + } and { O }_{ 2 }^{ - }
Answer.
Bond order of a molecule or an ion is a measure of the strength or stability of the bond. Numerically, it is half of the difference between number of electrons in bonding (Nb) and in anti-bonding (Na) molecular orbitals.
Bond order = \frac { 1 }{ 2 } ({ N }_{ b }-{ N }_{ a })
If B.O. is zero or negative, the bond is highly unstable, i.e. the molecule does not exist. Higher bond order means high bond dissociation energy and greater stability. Greater the bond order, lesser is the bond length.
M.O. configuration of N2 :
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 35
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 36
NCERT Solutions for Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure 37

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CLASS 11th CHAPTER -3 Classification of Elements and Periodicity in Properties |Chemistry | NCERT SOLUTION| EDUGROWN

NCERT Solutions for Class 11 Chemistry Chapter 3 Classification of Elements and Periodicity in Properties includes all the important topics with detailed explanation that aims to help students to understand the concepts better. Students who are preparing for their Class 11 Chemistry exams must go through NCERT Solutions for Class 11 Chemisrty Chapter 3 Classification of Elements and Periodicity in Properties. NCERT Solutions will make you understand the topics in most simple manner and grasp it easily to perform better.

NCERT Solutions for Class 11 Chemistry Part 1

Chemistry Part 1 Class 11 will introduce you to basic concepts of subjects, about atoms, chemical bonding and other topics. There are 7 chapters through which learners can study in an organized manner and improve their studying habits.

Class 11th Chapter -3 Classification of Elements and Periodicity in Properties | NCERT CHEMISRTY SOLUTION |

NCERT Exercises

Question 3.1
What is the basic theme of organisation in the periodic table?

Answer.
By 1865, number of identified elements was 63 and with such a large number of elements it was very difficult to study individually the chemistry of all these elements and their innumerable compounds individually. To ease out this problem, scientists searched for a systematic way to organize their knowledge by classifying the elements. Here comes the basis of periodic table. Various elements have now been divided into different groups on the basis of similarities in chemical properties. This has made the study simpler as now the properties of elements are studied in groups rather than individually.

Question 3.2
Which important property did Mendeleev use to classify the elements in his periodic table and did he stick to it?

Answer.
Mendeleev arranged elements in horizontal rows and vertical columns of a table in order of their increasing atomic weights in such a way that the elements with similar properties occupied the same vertical column or group. He realized that some of the elements did not fit in with his scheme of classification if the order of atomic weight was strictly followed. So, he did not stick to his criteria, he ignored the order of atomic weights, thinking that the atomic measurements might be incorrect, and placed the elements with similar properties together.

Question 3.3
What is the basic difference in approach between the Mendeleev’s Periodic Law and the Modern Periodic Law?
Answer.
According to Mendeleev’s periodic law, the physical and chemical properties of the elements are periodic functions of their atomic masses, but according to modern periodic law, the physical and chemical properties of the elements are periodic functions of their atomic numbers.

Question 3.4
On the basis of quantum numbers, justify that the sixth period of the periodic table should have 32 elements.
Answer.
In the sixth period, the orbitals to be filled are 6s, 4f, 5d and 6p. The complete filling of these orbitals require 2 + 14 + 10 + 6 = 32 electrons, hence, the sixth period of the periodic table should have 32 elements.

Question 3.5
In terms of period and group where would you locate the element with Z= 114?
Answer.
The outermost electronic configuration of element (114Z) is
[Rn] 5f14 6d107s27p2. It has n = 7, so period → 7 It belongs to p-block so,
group number = 10 + 4 = 14.

Question 3.6
Write the atomic number of the element present in the third period and seventeenth group of the periodic table.
Answer.
17Cl → It belongs to the third period. So, outermost shell is n = 3. Its configuration is [Ne] 3s23p5.
Therefore, its atomic number = 17.

Question 3.7
Which element do you think would have been named by
(i) Lawrence Berkeley Laboratory
(ii) Seaborg’s group?
Answer.
(i) Lawrencium  →  103Lr
(ii) Seaborgium  →  106Sg

Question 3.8
Why do elements in the same group have similar physical and chemical properties?
Answer.
In a group, the chemical properties of the elements remain nearly the same due to same valence shell configuration.

Question 3.9
What does atomic radius and ionic radius really mean to you?
Answer.
Atomic radius: It is the distance between the centre of the nucleus and outermost shell where electrons are present.
Ionic radius : It is the distance between the nucleus and outermost shell of an ion.

Question 3.10
How do atomic radius vary in a period and in a group? How do you explain the variation?
Answer.
Variation of atomic radii in a period :
As we move from left to right across a period, there is regular decrease in atomic radii of representative elements. This can be explained on the basis of effective nuclear charge which increases gradually in a period, i.c, electron cloud is attracted more strongly towards nucleus as the effective nuclear charge becomes more and more along the period. The increased force of attraction brings contraction in size.

Variation of atomic radii in a group : Atomic radii in a group increase as the atomic number increases. The increase in size is due to extra energy shell which outweighs the effect of increased nuclear charge.

Question 3.11
What do you understand by isoelectronic species? Name a species that will be isoelectronic with each of the following atoms or ions.
(i) F 
(ii) Ar
(iii) Mg2+
(iv) Rb+
Answer.
Isoelectronic species are those which have same number of electrons.
(i) F  has 10 electrons. Therefore, the species N3+, O2-, Ne, Na+, Mg2+, etc., are isoelectronic with F .
(ii) Ar has 18 electrons. Therefore, the species P3-, S2-, Cl, K+, Ca2+, etc., are isoelectronic with Ar
(iii) Mg2+ has 10 electrons. Therefore, the species N3-, O2-, Ne, Na+, etc., are isoelectronic with Mg2+.
(iv) Rb+ has 36 electrons. Therefore, the species Br, Kr, Sr2+, etc., are isoelectronic with Rb+

Question 3.12
Consider the following species :
N3-, O2-, F, Na+, Mg2+ and Al3+
(a) What is common in them?
(b) Arrange them in the order of increasing ionic radii.
Answer.
(a) All these are isoelectronic species as they are having same number of electrons i.c., 10.
(b) As Z/e decreases, size increases so, order should be,
N3- > O2- > F  > Na+ > Mg2+ > Al3+.

Question 3.13
Explain why cations are smaller and anions larger in radii than their parent atoms?
Answer.
A cation is smaller than its parent atom because it has fewer electrons while its nuclear charge remains the same. The size of an anion will be larger than that of the parent atom because the addition of one or more electrons would result in increased repulsion among the electrons and a decrease in effective nuclear charge.

Question 3.14
What is the significance of the terms – ‘isolated gaseous atom’and’ground state’while defining the ionization enthalpy and electron gain enthalpy? [Hint: Requirements for comparison purposes.]
Answer.
In the definition of ionization enthalpy and electron gain enthalpy, isolated gaseous atom is required for comparison purposes. Ionization energy is the minimum amount of energy required to remove most loosely bound electron from an isolated atom in the gaseous state of an element so as to convert it into gaseous monovalent positive ion. Electron gain enthalpy is the energy change accompanying the process of adding an electron to a gaseous isolated atom to convert it into a negative ion, i.e., a monovalent anion.

Both the above mentioned processes are carried out on an isolated gaseous atom, which in turn is obtained from either the excitation of a ground state atom (in case the element is monoatomic) or atomisation of polyatomic elements.

The force with which an electron is attracted by the nucleus is appreciably affected by presence of other atoms in the neighbourhood. Since in the gaseous state the atoms are widely separated, therefore these interatomic forces are minimum.
The term ground state means that the atom must be present in the most stable state.

Question 3.15
Energy of an electron in the ground state of the hydrogen atom is -2.18 x 10-18 J. Calculate the ionization enthalpy of atomic hydrogen in terms of J mol-1. [Hint: Apply the idea of mole concept to derive the answer]
Answer.
Energy of the electron in the ground state of H-atom, E1 = -2.18 x 10-18 J
Ionisation energy = E – En
Ionisation enthalpy per mole of atomic hydrogen = (E – E1)NA
= [0 – (- 2.18 x 10-18)] x 6.023 x 1023
= 2.18 x 6.023 x 105 J/mol = 13.13 x 105 j/mol
= 1.313 x 106 J/mol

Question 3.16
Among the second period elements the actual ionization enthalpies are in the order Li <B <Be< C< 0 < N< F < Ne. Explain why?
(i) Be has higher ∆iH than B
(ii) O has lower ∆iH than N and F?
Answer.
(i) An s-electron is attracted to the nucleus more than a p-electron. In beryllium, the electron removed during the ionization is an s-electron whereas the electron removed during ionization of boron is a p-electron. The penetration of a 2s-electron to the nucleus is more than that of a 2p-electron; hence the 2 p electron of boron is more shielded from the nucleus by the inner core of electrons than the 2s electrons of beryllium. Therefore, it is easier to remove the 2p-electron from boron as compared to the removal of a 2s-electron from beryllium. Thus, boron has a smaller first ionization enthalpy than beryllium.
(ii) O has lower ionisation energy than N because N (1s2 2s2 { 2p }_{ x }^{ 1 }\quad { 2p }_{ y }^{ 1 }\quad { 2p }_{ z }^{ 1 }) has extra stable electronic configuration whereas O (1s2 2s2 { 2p }_{ x }^{ 1 }\quad { 2p }_{ y }^{ 1 }\quad { 2p }_{ z }^{ 1 }) does not. O has lower ionisation energy than F because O has larger size than F.

Question 3.17
How would you explain the fact that the first ionization enthalpy of sodium is lower than that of magnesium but its second ionization enthalpy is higher than that of magnesium?
Answer.
The electronic configurations of Na and Mg are :
Na : 1s2 2s2 2p6 3s1
Na+ : 1s2 2s2 2p6
Mg : 1s2 2s2 2p6 3s2
Mg+ : 1s2 2s2 2p6 3s1
Mg2+ : 1s2 2s2 2p6

The 1st ionization enthalpy of Na is lesser than that of Mg because Mg has an extra stable configuration and smaller size, so, a larger amount of energy would be required to remove an electron from the 3s orbital, which has a pair of electrons.

The 2nd ionization enthalpy of Na is more than that of Mg because Na+ has an extra stable configuration (complete octet), whereas Mg+ does not have an extra stable configuration.

Question 3.18
What are the various factors due to which the ionization enthalpy of the main group elements tends to decrease down a group?
Answer.

We have to consider two factors :
(i) the attraction of electrons towards the nucleus, and (ii) the repulsion of electrons from each other. The effective nuclear charge experienced by a valence electron in an atom will be less than the actual charge on the nucleus because of shielding or screening of the valence electron from the nucleus by the intervening core electrons. As we descend the group, the outermost electron being increasingly farther from the nucleus, there is an increased shielding of the nuclear charge by the electrons in the inner levels. The increase in shielding outweighs the increasing nuclear charge and the removal of the outermost electron requires less energy down a group.

Question 3.19
The first ionization enthalpy values (in kJ mol-1) of group 13 elements are :
B         Al      Ga    In       Tl
801    577    579   558   589
How would you explain this deviation from the general trend?
Answer.
(i) Al has lower ionization enthalpy than B due to larger size.
(ii) Ga has slightly higher ionization enthalpy than Al due to ineffective shielding by 3d electrons.
(iii) In has lower ionization enthalpy than Ga due to larger size.
(iv) Tl has higher ionization enthalpy than In due to ineffective shielding by 4f electrons.

Question 3.20
Which of the following pairs of elements would have a more negative electron gain enthalpy?
(i) O or F
(ii) F or Cl
Answer.
(i) O or F : F has more negative electron gain enthalpy than O due to smaller size, higher nuclear charge and greater possibility of attaining the nearest stable noble gas configuration by gaining one electron.
(ii) F or Cl : Cl has more negative electron gain enthalpy because in F the incoming electron is added to the smaller n = 2 quantum level and suffers significant repulsion from the other electrons present in this level. In Cl, the added electron goes to n = 3 quantum level and occupies a larger region of space and electron-electron repulsion experienced is far less.

Question 2.21
Would you expect the second electron gain enthalpy of O as positive, more negative or less negative than the first? Justify your answer.
Answer.
The second electron gain enthalpy of O is +ve. This is because energy has to be supplied to convert O(g) to O2-(g) in order to overcome the repulsive forces.

Question 3.22
What is the basic difference between the terms electron gain enthalpy and electronegativity?
Answer.

 Electron gain enthalpyElectronegativity
1.

It provides a measure of the ease with which an atom adds an electron to form an anion.

It is a qualitative measure of the ability of an atom in a chemical compound to attract shared electrons to itself.
2.It has an absolute value.It is not a measurable quantity.
3.Its periodicity is not regular in a period or in a group.The periodicity is regular in a period but not so regular in a group.
4.Its units are electron volts per atom or kilojoules per mole or kilocalories per mole.It has no units but is merely a number.

Question 3.23
How would you react to the statement that the electronegativity of N on Pauling scale is 3.0 in all the nitrogen compounds?
Answer.
The statement is not correct because electronegativity of an element varies with the state of hybridisation and oxidation state of the element.

Question 3.24
Describe the theory associated with the radius of an atom as it
(a) gains an electron
(b) loses an electron.
Answer.
The distance between the nucleus and the outermost shell of an ion is known as ionic radius.
(a) The gain of an electron leads to the formation of an anion. The radius of the anion is larger than the atomic radius of its parent atom because the addition of one or more electrons would result in increased repulsion among the electrons and a decrease in effective nuclear charge which acts on more electrons so, each electron is held less tightly and thereby the electron cloud expands.

(b) The removal of an electron from an atom results in the formation of a cation. A cation is smaller than its parent atom because it has fewer electrons while its nuclear charge remains the same and since it is now acting on lesser number of electrons and pulls them closer, the ion is smaller.

Question 3.25
Would you expect the first ionization enthalpies for two isotopes of the same element to be the same or different? Justify your answer.
Answer.
Two isotopes of the same element have the same first ionization enthalpies because of same effective nuclear charges.
e.g., _{ 17 }^{ 35 }{ Cl } and _{ 17 }^{ 37 }{ Cl } have same ionization enthalpies.

Question 3.26
What are the major differences between metals and non-metals?
Answer.

 MetalsNon-metals
1.They are usually solids at room temperature. Mercury is an exception.They may be solids or gases at room temperature.
2.They have high melting and boiling points.They have low melting and boiling points.
3.They are good conductors of heat and electricity.They are not good conductors of heat and electricity.
4.They are malleable and ductile.They are neither malleable nor ductile.
5.They have 1 to 3 electrons in their valence shells.They have 4 to 7 electrons in their valence shells.
6.They have low ionisation energies.They have high ionisation energies.
7.They have low electron affinities.They have high electron affinities.
8.They are electropositive.They are electronegative.
9.They are brittle and non-lustrous.They are hard and lustrous.
10.They are sonorous.They are non sonorous.

 

Question 3.27

Use the periodic table to answer the following questions.
(a) Identify an element with five electrons in the outer subshell.
(b) Identify an element that would tend to lose two electrons.
(c) Identify an element that would tend to gain two electrons.
(d) Identify the group having metal, non-metal, liquid as well as gas at the room temperature.
Answer.
(a) Fluorine
(b) Magnesium
(c) Oxygen
(d) Group 17 (Halogens) :

  • F, Cl – Non metals and gases
  • Br – Non metal and liquid
  • I – Shows metallic lustre.

Question 3.28
The increasing order of reactivity among group 1 elements is Li < Na < K < Rb < Cs whereas that among group 17 elements is F > Cl > Br > I. Explain.
Answer.
The trend Li < Na < K < Rb < Cs is observed for chemical reactivity because upon descending the group the ionization energy of alkali metals decreases i.e., it is easy for them to lose an electron from their valence shell and attain the nearest stable noble gas configuration. The trend F > Cl > Br > I is observed for chemical reactivity in halogens because the standard reduction potential decreases as we descend the group. F being the most electronegative readily accepts an e~ to complete its octet and hence the trend.

Question 3.29
Write the general outer electronic configuration of s-, p-, d- and f- block elements.
Answer.
General outer electronic configuration :
NCERT Solutions for Class 11 Chemistry Chapter 3 Classification of Elements and Periodicity in Properties 1

Question 3.30
Assign the position of the element having outer electronic configuration
(i) ns2 np4 for n = 3
(ii) (n – 1)d2ns2 for n = 4, and
(iii) (n-2)f 7(n-1)d1ns2 for n = 6, in the periodic table.
Answer.
NCERT Solutions for Class 11 Chemistry Chapter 3 Classification of Elements and Periodicity in Properties 2

Question 3.31
The first (∆iH1) and the second (∆iH1) ionization enthalpies (in kJ mol-1) and the (∆H1) electron gain enthalpy (in kJ mol-1) of a few elements are given below:
NCERT Solutions for Class 11 Chemistry Chapter 3 Classification of Elements and Periodicity in Properties 3
Which of the above elements is likely to be:
(a) the least reactive element
(b) the most reactive metal
(c) the most reactive non-metal
(d) the least reactive non-metal
(e) the metal which can form a stable binary halide of the formula MX2(X = halogen)
(f) the metal which can form a predominantly stable covalent halide of the formula MX (X= halogen)?
Answer.
(a) V : The element V has highest first ionization enthalpy and positive electron gain enthalpy hence, it is least reactive.
(b) II : The element II has the least first ionization enthalpy hence, it is most reactive metal.
(c) III; The element III has very high negative electron gain enthalpy hence, it is most reactive non-metal.
(d) IV : Element IV has high negative electron gain enthalpy but ionization energy is not that high hence, it is least reactive non-metal.
(e) VI : The first and second ionization energies of element VI indicate that it can form a stable binary halide.
(f) I : The element 1 has very low value of first ionization energy but very high second ionization energy. Hence, it will form a stable covalent halide of the formula MX.

Question 3.32
Predict the formulas of the stable binary compounds that would be formed by the combination of the following pairs of elements.
(a) Lithium and oxygen
(b) Magnesium and nitrogen
(c) Aluminium and iodine
(d) Silicon and oxygen
(e) Phosphorus and fluorine
(f) Element 71 and fluorine
Answer.
(a) Li2O
(b) Mg3N2
(c) AlI3
(d) SiO2
(e) PF5
(f) LuF3

Question 3.33
In the modern periodic table, the period indicates the value of
(a) atomic number
(b) atomic mass
(c) principal quantum number
(d) azimuthal quantum number.
Answer.
(c) Principal quantum number

Question 3.34
Which of the following statements related to the modern periodic table is incorrect?
(a) The p-block has 6 columns, because a maximum of 6 electrons can occupy all the orbitals in a p-shell.
(b) The d-block has 8 columns, because a maximum of 8 electrons can occupy all the orbitals in a d-subshell.
(c) Each block contains a number of columns equal to the number of electrons that can occupy that subshell.
(d) The block indicates value of azimuthal quantum number (/) for the last subshell that received electrons in building up the electronic configuration.
Answer.
(b): The d-block has 10 columns, because a maximum of 10 electrons can occupy all the orbitals in a d-subshell.

Question 3.35
Anything that influences the valence electrons will affect the chemistry of the element. Which one of the following factors does not affect the valence shell?
(a) Valence principal quantum number (n)
(b) Nuclear charge (Z)
(c) Nuclear mass
(d) Number of core electrons.
Answer.
(c): Nuclear mass

Question 3.36
The size of isoelectronic species – F, Ne and Na+ is affected by
(a) nuclear charge (Z)
(b) valence principal quantum number (n)
(c) electron-electron interaction in the outer orbitals
(d) none of the factors because their size is the same.
Answer.
(a): Nuclear charge (Z).

Question 3.37
Which one of the following statements is incorrect in relation to ionization enthalpy?
(a) Ionization enthalpy increases for each successive electron.
(b) The greatest increase in ionization enthalpy is experienced on removal of electron from core noble gas configuration.
(c) End of valence electrons is marked by a big jump in ionization enthalpy.
(d) Removal of electron from orbitals bearing lower n value is easier than from orbital having higher n value.
Answer.
(d) Removal of electron from orbitals bearing lower n value is easier than from orbital having higher n value.

Question 3.38
Considering the elements B, Al, Mg, and K, the correct order of their metallic character is
(a) B > Al > Mg > K
(b) Al > Mg > B > K
(c) Mg > Al > K > B
(d) K > Mg > Al > B
Answer.
(d) K > Mg > Al > B

Question 3.39
Considering the elements B, C, N, F, and Si, the correct order of their non-metallic character is
(a) B>C>Si>N>F
(b) Si>C>B>N>F
(c) F>N>C>B>Si
(d) F > N > C > Si > B
Answer.
(c) F>N>C>B>Si

Question 3.40
Considering the elements F, Cl, O and N, the correct order of their chemical reactivity in terms of oxidizing property is
(a) F > Cl > O > N
(b) F > O > Cl > N
(c) CI>F>0>N
(d) O > F > N > Cl
Answer.
(b) F > O > Cl > N

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NCERT MCQ CLASS-9 CHAPTER-6 | SOCIAL SCIENCE IMPORTANT MCQ | | HISTORY IMPORTANT QUESTIONS | | PEASANTS AND FARMERS | EDUGROWN

NCERT MCQ ON PEASANTS AND FARMERS

Question 1.
Why did the ordinary dust storm took the form of Black Blizzard in US plains in the 1930s?

(a) The whole plain was an arid zone
(b) The entire ploughed landscape was stripped of all grass
(c) The area faced heavy flooding
(d) There was no rainfall in the region

Answer: (b) The entire ploughed landscape was stripped of all grass

Question 2.
What was the normal height of terrifying dust storms during the 1930s in USA?

(a) 5000 to 6000 feet
(b) 100 to 200 feet
(c) 7000 to 8000 feet
(d) 700 to 800 feet

Answer: (c) 7000 to 8000 feet

Question 3.
Which of the following systems was adopted by the British to convince the unwilling Indian cultivators to produce opium?
(a) Cheap loans
(b) Advances
(c) Collective farming
(d) Scientific farming methods

Answer: (b) Advances

Question 4.
In the early 19th century which were the two major commercial crops grown in India?

(a) Sugarcane and cotton
(b) Jute and cotton
(c) Indigo and opium
(d) Wheat and indigo

Answer: (c) Indigo and opium

Question 5.
Why peasants protested against the threshing machines?

(a) They were dangerous
(b) Difficult to operate
(c) Deprived the workers of their livelihood
(d) Too costly to buy

Answer: (c) Deprived the workers of their livelihood

Question 6.
Which of the following became the Bread Basket of the world during 20th century?

(a) Japan
(b) France
(c) Russia
(d) America

Answer: (d) America

Question 7.
What was the result of the ‘Opium War’ (1837-42)?

(a) China was forced to accept the humiliating terms of the subsequent treaties signed
(b) It had to legalize the opium trade
(c) It had to open up China to foreign merchants
(d) All the above

Answer: (d) All the above

Question 8.
Who introduced opium in China?

(a) The Dutch
(b) The French
(c) The American
(d) The Portuguese

Answer: (d) The Portuguese

Question 9.
Under which mythical name were threatening letters written to the rich farmers in England?

(a) Captain Swing
(b) Captain John
(c) Captain Swaine
(d) Captain Mark

Answer: (a) Captain Swing

Question 10.
The Manchus were:

(a) Chinese rulers
(b) Roman rulers
(c) Indian rulers
(d) Portuguese rulers

Answer: (a) Chinese rulers

Question 11.
Farmers in England began buying the new threshing machines because they:

(a) feared shortage of labor
(b) wanted to show superiority by buying these machines
(c) had enough money which they wanted to invest
(d) none of these

Answer: (a) feared shortage of labor

Question 12.
From China the English East India Company imported:

(a) Silk and coffee
(b) Silk and tea
(c) Coffee and tea
(d) Paper and tea

Answer: (b) Silk and tea

Question 13.
In 1831 mechanical reaper was invented by:

(a) Cyrus McCormic
(b) Dietrich Brandis
(c) Alexander Hogue
(d) None of the above

Answer: (a) Cyrus McCormic

Question 14.
Opium was exported from India to:

(a) China
(b) Rome
(c) U.K.
(d) Portugal

Answer: (a) China

Question 15.
Who was the American President under whom maximum expansion of wheat cultivation took place?

(a) President Wilson
(b) President Roosevelt
(c) George Washington
(d) Abraham Lincoln

Answer: (a) President Wilson




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CLASS 11th CHAPTER – 2 Structure of Atom |Chemistry | NCERT SOLUTION| EDUGROWN

NCERT Solutions for Class 11 Chemistry Chapter 2 Structure of Atom includes all the important topics with detailed explanation that aims to help students to understand the concepts better. Students who are preparing for their Class 11 Chemistry exams must go through NCERT Solutions for Class 11 Chemisrty Chapter 2 Structure of Atom. NCERT Solutions will make you understand the topics in most simple manner and grasp it easily to perform better.

NCERT Solutions for Class 11 Chemistry Part 1

Chemistry Part 1 Class 11 will introduce you to basic concepts of subjects, about atoms, chemical bonding and other topics. There are 7 chapters through which learners can study in an organized manner and improve their studying habits.

Class 11th Chapter -2 Structure of Atom NCERT CHEMISRTY SOLUTION |

Page No: 65

Exercises
2.1. (i) Calculate the number of electrons which will together weigh one gram.
(ii) Calculate the mass and charge of one mole of electrons.

Answer
(i) Mass of one electron = 9.11×10-31kg
∴ 1g = 10-3 kg =  (1/9.11×10-31)×10-3 electrons = 1.098×1027
(ii) Mass of one electron = 9.11×10-31kg
∴ Mass of 1 mole of electrons = (9.11×10-31)×(6.022×1023) = 5.48×10-7 kg
Charge on one electron = 1.602×10-19 coulomb
∴ Charge on 1 mole of electrons = (1.602×10-19)×(6.022×1023) = 9.65×10coulombs.

2.2. (i) Calculate the total number of electrons present in one mole of methane.
(ii) Find (a) the total number and (b) the total mass of neutrons in 7 mg of 14C. (Assume that mass of a neutron = 1.675×10-27kg).
(iii) Find (a) the total number and (b) the total mass of protons in 34 mg of NH3 at STP.
Will the answer change if the temperature and pressure are changed ?

Answer
(i) Electrons present in 1 molecule of methane (CH4) = 6+4 = 10
∴ Electrons in  mol i.e. 6.022×1023 molecules = 6.022×1024
(ii) (a) Number of atoms in 14C in 1 mole= 6.022×1023 atoms
1 atom of 14C contains = 14-6 = 8 neutrons.
∴ The number of neutrons in 14 g of 14C = 6.022×1023×8 neutrons
Number of neutrons in 7 mg = (6.022×1023×8×7)/14000 = 2.4088×1021 neutrons
(b) Mass of one neutron = 1.674×10-27kg
Mass of total neutrons in 7 g of 14C = (2.4088×1021) (1.675 ×10-27 kg) = 4.035 ×10-6 kg
(iii) (a) 1 mol of NH= 17g NH= 6.022×1023 molecules of NH
1 atom of NH3  contains = 7+3 = 10 protons
∴ The number of protons in 1 mol of NH= 6.022×1024 protons.
Number of protons in 34 mg of NH= (6.022×1024×34)/17×1000 = 1.2044×1022 protons.
(b) Mass of one proton = 1.6726×10-27kg
∴ Mass of 1.2044×1022 protons = (1.6726×10-27) ×(1.2044×1022) kg = 2.0145×10-5 kg.
No, there will be no effect of temperature and pressure.
 
2.3. How many neutrons and protons are there in the following nuclei ?
13C616O824Mg12, 56Fe26, 88CSr38

Answer
Nucleus        Z           A         Protons(Z)        Neutrons(A-Z)

13C6                 6           13             6                      13-6=7
16O8                 8           16             8                      16-8=8

24Mg12           12          24            12                     24-12=12
56Fe26             26         56            26                     56-26=30
 88CSr38          38         88            38                     88-38=50

2.4. Write the complete symbol for the atom with the given atomic number (Z) and atomic mass (A)
(i) Z = 17 , A = 35.
(ii) Z = 92 , A = 233.
(iii) Z = 4 , A = 9.
 
Answer
(i) 35Cl17  
(ii) 233U92
(iii) 9Be
 
2.5. Yellow light emitted from a sodium lamp has a wavelength (λ) of 580 nm. Calculate the frequency (ν) and wave number (ṽ) of the yellow light.
 
Answer
λ = 580 nm = 580×10-9 m
frequency (ν) = c/λ = 3.0×10ms-1/580×10-9 m = 5.17×1014 s-1
wave number (ṽ) = 1/λ = 1/580×10-9 m = 1.72×10m-1
 
2.6. Find energy of each of the photons which
(i) correspond to light of frequency 3×1015 Hz.
(ii) have wavelength of 0.50 Å.
 
Answer
(i) ν = 3×1015 Hz 
E = hν = (6.626×10-34 Js)×(3×1015 s-1) = 1.988×10-18 J
(ii) λ = 0.50×10-10 m
 E = hν = hc/λ = (6.626×10-34 Js)×(3×1015 s-1)/0.50×10-10 m = 3.98×10-15 J
 
2.7. Calculate the wavelength, frequency and wave number of a light wave whose period is 
2.0×10-10 s.
 
Answer
Frequency (ν) =  1/Period = 1/2.0×10-10 s = 5×10s-1.
Wavelength (λ) = c/ν = 3.0×10ms-1/5×10s-1 = 6.0×102 m
Wave number (ṽ) = 1/λ = 1/6.0×102 m = 16.66 m-1
 
2.8. What is the number of photons of light with a wavelength of 4000 pm that provide 1J of energy?
 
Answer
λ = 4000 pm = 4000×10-12 m = 4×10-9 m
E = Nhν = Nhc/λ
∴ N = E×λ/h×c = (1J×4×10-9 m)/(6.626×10-34 Js×3.0×10ms-1) = 2.012×1016 photons.

2.9. A photon of wavelength 4×10-7 m strikes on metal surface, the work function of the metal being 2.13 eV. Calculate
(i) the energy of the photon (eV),
(ii) the kinetic energy of the emission, and
(iii) the velocity of the photoelectron (1 eV = 1.6020×10-19 J).

Answer
(i) Energy of the photon (E) = hν = hc/λ = (6.626×10-34 Js×3.0×10ms-1)/4×10-7 m = 4.97×10-19 J
                                         = 4.97×10-19/1.602×10-19 eV
(ii) Kinetic energy of emission (1/2 mv2) = hν- hνo = 3.10-2.13 = 0.97 eV
(iii) 1/2 mv= 0.97 eV = 0.97×1.602×10-19 J
⇒ 1/2×(9.11×10-31 kg)×v= 0.97×1.602×10-19 J
⇒ v= 0.341×1012 = 34.1×1010
⇒ v = 5.84×10ms-1

2.10. Electromagnetic radiation of wavelength 242 nm is just sufficient to ionise the sodium atom. Calculate the ionisation energy of sodium in kJ mol-1.

Answer
E = Nhν = Nhc/λ = (6.022×1023 mol-1)×(6.626×10-34 Js×3.0×10ms-1)/242×10-9 m
   = 4.945×10Jmol-1 = 494.5 kJmol-1
 
2.11. A 25 watt bulb emits monochromatic yellow light of wavelength of 0.57µm. Calculate the rate of emission of quanta per second.
 
Answer
Energy emitted by the bulb = 25 watt = 25 Js-1
Energy of one photon (E) = hν = hc/λ
λ = 0.57µm = 0.57×10-6 m
E = (6.626×10-34 Js×3.0×10ms-1)/0.57×10-6 m = 3.48×10-19 J
∴ No. of photons emitted per sec = 25 Js-1/3.48×10-19 J = 7.18×1019

2.12. Electrons are emitted with zero velocity from a metal surface when it is exposed to radiation of wavelength 6800 Å. Calculate threshold frequency (νo) and work function (wo) of the metal.
 
Answer
c = νλ
∴ νo = c/λo = 3.0×10ms-1/6800×10-10 m = 4.14×1014 s-1
Work function (wo) = hνo = 6.626×10-34 Js×4.14×1014 s-1 = 2.92×10-19 J
 
2.13. What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level with n = 4 to an energy level with n = 2?
 
Answer
ṽ = R(1/n1 1/n22) = 109677(1/2 1/42) cm-1 = 20564.4 cm-1 
λ = 1/ν = 1/20564.4 = 486×10-7 cm =  486×10-9 m = 486 nm

Page No: 66

2.14. How much energy is required to ionise a H atom if the electron occupies n = 5 orbit? Compare your answer with the ionization enthalpy of H atom (energy required to remove the electron from n=1 orbit).

Answer
En = -21.8×10-19/n2 Jatom-1 
For ionization from 5th orbit, n= 5n= ∞
∴ ΔE = E2 – E1 = -21.8×10-19×(1/n2 1/n12) = 21.8×10-19×(1/n1 1/n22
   = 21.8×10-19×(1/5 1/∞) = 8.72×10-20 J
For ionization from 1st orbit, n= 1n= ∞
∴ ΔE’ = 21.8×10-19×(1/1 1/∞) = 21.8×10-19 J
ΔE’/ΔE = 21.8×10-19/8.72×10-20 = 25
Hence, 25 times less energy is required to ionize an electron in the 5th orbital of hydrogen atom as compared to that in the ground state.
 
2.15. What is the maximum number of emission lines when the excited electron of a H atom in n = 6 drops to the ground state?

Answer

The number of spectral lines produced when an electron in the nthlevel drops down to the ground state is given by n(n-1)/2.
Given, n=6
∴ Number of spectral lines = 6×5/2 = 15
also given by, ∑(n2 – n1) = ∑(6-1) = ∑5 = 5+4+3+2+1 = 15
 
2.16. (i) The energy associated with the first orbit in the hydrogen atom is –2.18×10-18 J atom-1. What is the energy associated with the fifth orbit? (ii) Calculate the radius of Bohr’s fifth orbit for hydrogen atom.
 
Answer
(i) En = -21.8×10-19/n2 J 
∴ E= -21.8×10-18/52 J = 8.72×10-20 J
(ii) For H atom, rn = 0.529×nÅ
∴  r= 0.529×5= 13.225 Å = 1.3225 nm
 
2.17. Calculate the wavenumber for the longest wavelength transition in the Balmer series of atomic hydrogen.
 
Answer
For the Balmer series, n1 = 2. Hence, ṽ = R(1/2 1/n22)
ṽ = 1/λ  (inversely proportional)
For λ to be maximum, ṽ should be minimum. This can be happened when n2 is minimum i.e. n2 = 3. Hence, ṽ = (1.097×10m-1) (1/2 1/32) = 1.097×107×5/36 m-1 = 1.523×10m-1
 
2.18. What is the energy in joules, required to shift the electron of the hydrogen atom from the first Bohr orbit to the fifth Bohr orbit and what is the wavelength of the light emitted when the electron returns to the ground state? The ground state electron energy is –2.18×10-11 ergs.
 
Answer
1erg = 10-7 J
As ground state electronic energy is  –2.18×10-11 ergs, this means that En = -21.8×10-11/n2 ergs.
 ΔE = E5 – E= 2.18×10-11 (1/1 1/52) = 2.18×10-11(24/25) = 2.09×10-11 ergs = 2.09×10-18 J 
When electron returns to ground state (n=1), energy emitted = 2.09×10-11 ergs.
As, E = hν = hc/λ 
⇒ λ = hc/E = (6.626×10-27 erg sec) (3.0×1010 cm s-1)/2.09×10-11 ergs
        = 9.51×10-6 cm = 951×10-8 cm = 951 Å
 
2.19. The electron energy in hydrogen atom is given by E n = (–2.18×10-18)/n2 J. Calculate the energy required to remove an electron completely from the n = 2 orbit. What is the longest wavelength of light in cm that can be used to cause this transition?
 
Answer
ΔE = E E2 = 0 – (–2.18×10-18 J atom-1/22) = 5.45×10-19 J atom-1
ΔE = hν = hc/λ
⇒ λ = hc/ΔE = (6.626×10-34 Js)×(3.0×10ms-1)/5.45×10-19 J = 3.674×10-7 m = 3.674×10-5 cm

2.20. Calculate the wavelength of an electron moving with a velocity of 2.05×107 ms-1.

Answer
By de Broglie equation, 
λ  = h/mv = 6.626×10-34 Js/(9.11×10-31 kg) (2.05×107 ms-1) = 3.55×10-11 m
 
2.21. The mass of an electron is 9.11×10-31 kg. If its K.E. is 3.0×10-25 J, calculate its wavelength.
 
Answer
K.E. = 1/2 mv2
 
NCERT Solutions for Class 11th: Ch 2 Structure of Atom
∴ v = √2 K.E./m


= 812 ms-1
By de Broglie equation, λ = h/mv = 6.626×10-34 Js/(9.11×10-31 kg) (812 ms-1) = 8.967×10-7 m
 
2.22. Which of the following are isoelectronic species i.e., those having the same number of electrons? 
Na+ , K+ , Mg2+ , Ca2+ , S2- , Ar.
 
Answer
Notes:
Isoelectronic are the species having same number of electrons.
A positive charge means the shortage of an electron.
A negative charge means gain of electron.
Number of electrons in Na+ = 11-1 = 10
Number of electrons in K+ = 19-1 = 18
Number of electrons in Mg2+ = 12-2 = 10
Number of electrons in Ca2+ = 20-2 = 18
Number of electrons in S2- = 16+2 = 18
Number of electrons in Ar = 18
Hence, the following are isoelectronic species:
1) Na+ andMg2+ (10 electrons each)
2) K+, Ca2+, S2- and Ar (18 electrons each)
 
2.23. (i) Write the electronic configurations of the following ions: (a) H (b) Na+ (c) O2- (d) F
(ii) What are the atomic numbers of elements whose outermost electrons are represented by (a) 3s1 (b) 2pand (c) 3p5 ?
(iii) Which atoms are indicated by the following configurations ? (a) [He]2s(b) [Ne]3s3p3 (c) [Ar] 4s2 3d1 .
 
Answer
(i) (a) 1H = 1s1 . A negative charge means gain of electron.
∴ electronic configuration of H– = 1s2
(b) 11Na = 1s22s22p63s1 . A positive charge means the shortage of an electron.
∴ electronic configuration of Na= 1s22s22p6
(c) 8O = 1s22s22p4
∴ electronic configuration of O2- = 1s22s22p6
(d) 9F = 1s22s22p5
∴ electronic configuration of F = 1s22s22p6
(ii) (a) 3s1
Completing the electron configuration of the element as 1s22s22p63s1
∴ Number of electrons present in the atom of the element = 2+2+6+1 = 11
∴ Atomic number of the element = 11
(b) 2p3
Completing the electron configuration of the element as 1s22s22p3
∴ Number of electrons present in the atom of the element = 2+2+3 = 7
∴ Atomic number of the element = 7
(c) 3p5
Completing the electron configuration of the element as 1s22s22p63s23p5
∴ Number of electrons present in the atom of the element = 2+2+6+2+5 = 17
∴ Atomic number of the element = 9
(iii)  (a) [He]2s1
electronic configuration = 1s22s1
∴ Atomic number of the element = 2+1 = 3
Hence, the element with the electronic configuration [He]2s1 is lithium (Li).
(b) [Ne]3s23p3
electronic configuration = 1s22s22p63s23p3
∴ Atomic number of the element = 2+2+6+2+3 = 15
Hence, the element with the electronic configuration  [Ne]3s23p3 is phosphorus (P).
(c) [Ar] 4s23d1
electronic configuration = 1s22s22p63s23p64s23d1
∴ Atomic number of the element = 2+2+6+2+6+2+1 = 21
Hence, the element with the electronic configuration [Ar] 4s23d1 is scandium (Sc).

2.24. What is the lowest value of n that allows g orbitals to exist?

Answer
For g-orbitals, l = 4.
For any value ‘n’ of principal quantum number, the Azimuthal quantum number (l) can have a value from zero to (n – 1).
∴ For l = 4, minimum value of n = 5
 
2.25. An electron is in one of the 3d orbitals. Give the possible values of n, and mfor this electron.
 
Answer
For the 3d orbital:
Principal quantum number (n) = 3
Azimuthal quantum number (l) = 2
Magnetic quantum number (ml) = -2,-1,0,1,2
 
2.26. An atom of an element contains 29 electrons and 35 neutrons. Deduce (i) the number of protons and (ii) the electronic configuration of the element.
 
Answer
(i) For  neutral atom,  number of protons = number of electrons.
∴ Number of protons in the atom of the given element = 29 = Atomic number
(ii) The electronic configuration of the atom with Z=29 is  1s22s22p63s23p64s13d10
 
2.27. Give the number of electrons in the species H2, H2 and O2+


Answer
H2= 2-1 = 1 electron
H2 = 1H + 1H = 2 electrons
O2= 16-1 = 15 electrons

2.28. (i) An atomic orbital has n = 3. What are the possible values of l and ml ?
(ii) List the quantum numbers (ml and l ) of electrons for 3d orbital.
(iii) Which of the following orbitals are possible?
       1p, 2s, 2p and 3f

Answer
(i) For a given value of n, l can have values from 0 to (n-1).
∴ For n = 3 , l = 0, 1, 2
 For a given value of l, ml can have (2l+1) values.
When l = 0, m = 0
l = 1, m = – 1, 0, 1
l = 2, m = – 2, – 1, 0, 1, 2
l = 3, m = -3, -2, -1, 0, 1, 2, 3
(ii) For 3d orbital, n = 3, l = 2.
∴ For l = 2
m2 = -2, -1, 0, 1, 2
(iii) 1p is not possible because when n = 1, = 0. (for p, l = 1)
2s is possible because when n=2, l = 0,1 (for s, l=0)
2p is possible because when n=2, l = 0,1 (for p, l=1)
3f is not possible because when n=3, = 0, 1 , 2 (for f, l=3)

2.29. Using s, p, d notations, describe the orbital with the following quantum numbers.
         (a) n=1, l=0; (b) n=3; l=1 (c) n=4; l=2; (d) n=4; l=3.

Answer
(a) 1s
(b) 3p
(c) 4d
(d) 4f

2.30. Explain, giving reasons, which of the following sets of quantum numbers are not possible.
        (a) n = 0,           l = 0,         ml = 0,            ms = +½
        (b) n = 1,          = 0,          ml = 0,            ms = –½
        (c) n = 1,          l = 1,          ml = 0,            ms = +½
        (d) n = 2,          l = 1,          ml = 0,            ms = –½
        (e) n = 3,          l = 3,          ml = –3,          ms = +½
        (f) n = 3,          l = 1,           ml = 0,            ms = +½

Answer
(a) Not possible because n≠0
(b) Possible
(c) not possible because when n=1, l≠1
(d) Possible
(e) Not possible because when n=3,  l≠3
(f) Possible

Page No: 67

2.31. How many electrons in an atom may have the following quantum numbers?
       (a) n = 4, ms = –½        (b) n = 3, l = 0

Answer
(i) The total number of electrons in n is given by 2n2
 n=4, Number of electrons = 2×4= 32
Half of 32 electrons will have spin quantum number ms = –½ i.e. 16 electrons
(ii) n=3 and l=0 means it is 3s orbital which can have only 2 electrons.
2.32. Show that the circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron revolving around the orbit.
 
Answer
According to Bohr postulate of angular momentum,
mvr = nh/2π ⇒ 2πr = nh/mv   …(i)
According to de Broglie equation, λ=h/mv   …(ii)
Substituting the value of eqn (ii) in eqn (i) we get,
2πr = nλ
Thus, circumference of the Bohr orbit for the hydrogen atom is an integral multiple of de Broglie’s wavelength associated with the electron revolving around the orbit.

2.33. What transition in the hydrogen spectrum would have the same wavelength as the Balmer transition n = 4 to n = 2 of He+ spectrum?

Answer

For H-like particles, ṽ = (2π2mZ2e4/ch3)×(1/n1 1/n22) = RZ2(1/n1 1/n22)
∴ For He+ spectrum, Balmer transition, n=4 to n=2
ṽ = 1/λ = RZ2(1/2 1/42)  = R×4×3/16 = 3R/4
For hydrogen spectrum ,
ṽ = 1/λ = R(1/n1 1/n22) = 3R/4  ⇒ (1/n1 1/n22) = 3/4
which can be true only for n1=1 and n2=2 i.e. transition from n=2 to n=1.

2.34. Calculate the energy required for the process
        He+(g) → He2+(g) + e– 
The ionization energy for the H atom in the ground state is 2.18×10-18 J atom-1.
 
Answer
For H-like particles, E= – (2π2mZ2e4/n2h2)
For H-atom, I.E. = E-E= 0 – (-2π2m×22×e4/12×h2
= (4×2π2me4/h2) = 4×2.18×10-18 J = 8.72×10-18 J 
 
2.35. If the diameter of a carbon atom is 0.15 nm, calculate the number of carbon atoms which can be placed side by side in a straight line across length of scale of length 20 cm long.
 
Answer
Diameter of a carbon atom = 0.15 nm = 0.15×10-9 m = 1.5×10-10 m
Length along which atoms are to be placed = 20 cm = 2×10-1 m
∴ No. of C-atoms which can be placed along the line = 2×10-1 m/1.5×10-10 m = 1.33×109
 
2.36. 2×108 atoms of carbon are arranged side by side. Calculate the radius of carbon atom if the length of this arrangement is 2.4 cm.
 
Answer
Total length = 2.4 cm
Total number of atoms along the length = 2×108
∴ Diameter of each atom = 2.4 cm/2×108 = 1.2×10-8 cm
∴ Radius of the atom = Diameter/2 = 1.2×10-8 cm/2 = 0.6×10-8 cm
 
2.37. The diameter of zinc atom is 2.6 Å.Calculate (a) radius of zinc atom in pm and (b)number of atoms present in a length of 1.6 cm if the zinc atoms are arranged side by side lengthwise.
 
Answer
(a) Radius of zinc atom = 2.6Å/2 = 1.3Å = 1.3×10-10 m = 130×10-12 pm
(b) Given length = 1.6 cm = 1.6×10-2 m
Diameter of one atom = 2.6 Å = 2.6×10-10 m
∴ No. of atoms present along the length = 1.6×10-2/2.6×10-10 = 6.154×107
 
2.38. A certain particle carries 2.5×10-16 C of static electric charge. Calculate the number of electrons present in it.
 
Answer
Charge on one electron = 1.602×10-19 C
∴ Number of electrons carrying 2.5×10-16 C charge = 2.5×10-16/1.602×10-19 =1560
 
2.39. In Milikan’s experiment, static electric charge on the oil drops has been obtained by shining 
X-rays. If the static electric charge on the oil drop is –1.282×10-18 C, calculate the number of electrons present on it.
 
Answer
As in the above question,
Number of electrons present in oil drop = –1.282×10-18/1.602×10-19 = 8
 
2.40. In Rutherford’s experiment, generally the thin foil of heavy atoms, like gold, platinum etc. have been used to be bombarded by the α-particles. If the thin foil of light atoms like aluminium etc. is used, what difference would be observed from the above results ?
 
Answer
Heavy atoms have nucleus carrying  large amount of positive charge. Therefor, some α-particles will easily deflected back. Also a number of α-particles are deflected through small angles because of large positive charge.
If light atoms are used, their nuclei will have small positive charge, hence the number of α-particles getting deflected even through small angles will be negligible.
 
 
2.41. Symbols 79Br35 and 79Br can be written, whereas symbols  35Br79 and 35Br are not acceptable. Answer briefly.

Answer
35Br79 is not acceptable because atomic number should be written as subscript, while mass number should be written as superscript. 35Br is not acceptable because atomic number of an element is fixed. However, mass number is not fixed as it depends upon the isotopes taken. Hence, it is essential to indicate mass number.

2.42. An element with mass number 81 contains 31.7% more neutrons as compared to protons. Assign the atomic symbol.

Answer
Mass number = protons+neutrons = p+n = 81 (given)
Let p be x, then neutrons = x + (31.7/100)x = 1.317 x
∴ x + 1.317 x = 81
⇒ 2.317 x = 81
⇒ x = 81/2.317 = 35
Thus, protons = 35 = atomic number.
The symbol of the element is 81Br35 or 8135Br

2.43. An ion with mass number 37 possesses one unit of negative charge. If the ion contains 11.1% more neutrons than the electrons, find the symbol of the ion.

Answer
Let the number of electrons in the ion = x
Then, number of neutrons = x+(11.1 x/ 100) = 1.111 x
Number of electrons in the neutral atom = x-1 (ion possesses one unit of negative charge)
∴ Number of protons = x-1
Mass number = No. of protons + No. of neutrons
∴ 1.111 x + x – 1 = 37
⇒ 2.111x = 38
⇒ x = 18
∴ No. of protons = Atomic no. = x-1 = 18-1 = 17
The symbol of the ion is 3717Cl-1

2.44. An ion with mass number 56 contains 3 units of positive charge and 30.4% more neutrons than electrons. Assign the symbol to this ion.
 
Answer
Let the number of electrons in the ion = x
Then, number of neutrons = x+(30.4 x/ 100) = 1.304 x
Number of electrons in the neutral atom = x+3 (ion possesses 3 units of positive charge)
∴ Number of protons = x+3
Mass number = No. of protons + No. of neutrons
∴ 1.304 x + x +3 = 56
⇒ 2.304x = 53
⇒ x = 23
∴ No. of protons = Atomic no. = x+3 = 23+3 = 26
The symbol of the ion is 5626Fe+3

2.45. Arrange the following type of radiations in increasing order of frequency: (a) radiation from microwave oven (b) amber light from traffic signal (c) radiation from FM radio (d) cosmic rays from outer space and (e) X-rays.
 
Answer
The increasing order of frequency is as follows:
Radiation from FM radio < amber light < radiation from microwave oven < X- rays < cosmic rays
 
2.46. Nitrogen laser produces a radiation at a wavelength of 337.1 nm. If the number of photons emitted is 5.6×1024, calculate the power of this laser.

Answer
E = Nhν = Nhc/λ = (5.6×1024)×(6.626×10-34 Js×3.0×10ms-1)/337.1×10-9 m = 3.3×10J

2.47. Neon gas is generally used in the sign boards. If it emits strongly at 616 nm, calculate (a) the frequency of emission, (b) distance traveled by this radiation in 30 s (c) energy of quantum and (d) number of quanta present if it produces 2 J of energy.

Answer
λ  = 616 nm = 616×10-9 m
(a) Frequency, ν = c/λ = 3.0×10ms-1/616×10-9 m = 4.87×1014 s-1
(b) Velocity of the radiation = 3.0×10ms-1
∴ Distance travelled in 30 s = 30×3×10m = 9.0×10m
(c) E = hν = hc/λ = (6.626×10-34 Js×3.0×10ms-1)/616×10-9 m = 32.27×10-20 J
(d) No. of quanta in 2J of energy = 2J/32.27×10-20 J = 6.2×1018

2.48. In astronomical observations, signals observed from the distant stars are generally weak. If the photon detector receives a total of 3.15×10-18 J from the radiations of 600 nm, calculate the number of photons received by the detector.
 
Answer
Energy of one photon = hν = hc/λ = (6.626×10-34 Js×3.0×10ms-1)/600×10-9 m = 3.313×10-19 J
Total energy received = 3.15×10-18 J
∴ No. of photons received = 3.15×10-18 J/3.313×10-19 J = 9.51 (approx 10)

Page No: 68

2.49. Lifetimes of the molecules in the excited states are often measured by using pulsed radiation source of duration nearly in the nano second range. If the radiation source has the duration of 2 ns and the number of photons emitted during the pulse source is 2.5×1015 , calculate the energy of the source.
 
Answer
Frequency = 1/2×10-19 s = 0.5×10s-1
Energy = Nhν = (2.5×1015)×(6.626×10-34 Js)×(0.5×10s-1) = 8.28×10-10 J
 
2.50. The longest wavelength doublet absorption transition is observed at 589 and 589.6 nm. Calcualte the frequency of each transition and energy difference between two excited states.
 
Answer
λ1 = 589 nm = 589×10-9 m
∴ ν1 = c/λ1 = 3.0×10ms-1/589×10-9 m = 5.093×1014 s-1
λ2 = 589.6 nm = 589.6×10-9 m
∴ ν2 = c/λ2 = 3.0×10ms-1/589.6×10-9 m = 5.088×1014 s-1
ΔE = E2 – E= h(ν ν1) = (6.626×10-34 Js)×(5.093-5.088)×1014 s-1 = 3.31×10-22 J

2.51. The work function for caesium atom is 1.9 eV. Calculate (a) the threshold wavelength and (b) the threshold frequency of the radiation. If the caesium element is irradiated with a wavelength 500nm, calculate the kinetic energy and the velocity of the ejected photoelectron.

Answer
(a) Work function (W0) = hν0
∴ ν= W0/h = 1.9×1.602×10-19 J/6.626×10-34 Js = 4.59×1014 s-1            (1eV = 1.602×10-19 J)
(b) λ0 = c/ν= 3.0×10ms-1/4.59×1014 s-1 = 6.54×10-7 m = 654×10-9 m = 654 nm
(c) K.E. of ejected electron = h(ν  ν0) = hc (1/λ – 1/λ)
= (6.626×10-34 Js×3.0×10ms-1)×(1/500×10-9 m – 1/654×10-9 m)
= (6.626×3.0×10-26/10-9)×(154/500×654) J = 9.36×10-20 J
K.E. = 1/2 mv= 9.36×10-20 J
∴ 1/2×(9.11×10-31 kg) v= 9.36×10-20 kgm2s-2
⇒ v= 2.055×1011 m2s-2 = 20.55×1010 m2s-2
⇒ v = 4.53×10ms-1
 
2.52. Following results are observed when sodium metal is irradiated with different wavelengths.         Calculate (a) threshold wavelength and, (b) Planck’s constant.
      λ (nm)                          500             450           400
    v×10-5(cm s-1)               2.55            4.35          5.35
 
Answer
Let the threshold wavelength to be λnm = λ0×10-9 m . 
Following equation holds true for photoelectric emission in given case:
K.E. = 1/2 mv= h(ν  ν0)
⇒1/2 mv= hν  0
⇒ hν= hν – 1/2 mv2
⇒ hc/λ0 = hc/λ – 1/2 mv2

 
(a) Substituting the value of λ and v from the above given data, we get three values of λas,
λ0(1) = 541 nm
λ0(2) = 546 nm
λ0(3) = 542 nm
Threshold frequency = λav = {λ0(1)0(2)0(3)}/3 = (541+546+542)/3 = 543 (approx 540)
(b) Part of this question can’t be solved due to incorrect value of v i.e 5.35.
Students can assume this value as 5.20 if they want to solve this question.

2.53. The ejection of the photoelectron from the silver metal in the photoelectric effect experiment can be stopped by applying the voltage of 0.35 V when the radiation 256.7 nm is used. Calculate the work function for silver metal.

Answer
Energy of the incident radiation = Work function + Kinetic energy of photoelectron
E = hc/λ = (6.626×10-34 Js×3.0×10ms-1)/(256.7×10-9 m) = 7.74×10-19 J = 4.83 eV
The potential applied gives kinetic energy to the electron.
Hence, kinetic energy of the electron = 0.35 eV
∴ Work Function = 4.83 eV – 0.35 eV = 4.48 eV

2.54. If the photon of the wavelength 150 pm strikes an atom and one of its inner bound electrons is ejected out with a velocity of 1.5×10ms-1 , calculate the energy with which it is bound to the nucleus.

Answer
Energy of the incident photon= hc/λ = (6.626×10-34 Js×3.0×10ms-1)/(150×10-12m) = 13.25×10-16 J
Energy of the electron ejected = 1/2 mv= 1/2×(9.11×10-31kg)×(1.5×107ms-1)= 1.025×10-16 J
Energy with which the electron was bound to the nucleus = 13.25×10-16 J – 1.025×10-16 J
= 12.225×10-16 J = 12.225×10-16/1.602×10-19 eV = 7.63×10eV

2.55. Emission transitions in the Paschen series end at orbit n = 3 and start from orbit n and can be represeted as v = 3.29×1015(Hz) [1/32–1/n2] Calculate the value of n if the transition is observed at 1285 nm. Find the region of the spectrum.

Answer
ν = c/λ = 3.0×10ms-1/1285×10-9 m = 3.29×1015 (1/3 1/n2)
⇒ 1/n= 1/9 – (3.0×10ms-1/1285×10-9 m)×(1/3.29×1015) = 0.111-0.071 = 0.04 = 1/25
⇒ n= 25
⇒ n = 5
The radiation corresponding to 1285 nm lies in the infrared region.

2.56. Calculate the wavelength for the emission transition if it starts from the orbit having radius 1.3225 nm and ends at 211.6 pm. Name the series to which this transition belongs and the region of the spectrum.

Answer
Radius of nth orbit of H-like particles = 0.529n2/Z Å = 52.9n2/Z pm
r= 1.3225 nm = 1322.5 pm = 52.9n12
r= 211.6 pm = 52.9n22/Z 
∴ r1/r2 = 1322.5 pm/211.6 pm = n12/n22
⇒ n12/n2= 6.25
⇒ n1/n2 = 2.5
If n= 2, n1 = 5. Thus the transition is from 5th orbit to 2nd orbit. It belongs to Balmer series.
ṽ = 1.097×10m-1 (1/2 1/52) = 1.097×107×21/100 m-1
λ = 1/ṽ = 100/(1.097×21×107) m = 434×10-9 m = 434 nm
It lies in visible range.

2.57. Dual behaviour of matter proposed by de Broglie led to the discovery of electron microscope often used for the highly magnified images of biological molecules and other type of material. If the velocity of the electron in this microscope is 1.6×10ms-1 , calculate de Broglie wavelength associated with this electron.

Answer
λ = h/mv = 6.626×10-34 kgm2s-1/(9.11×10-31 kg) (1.6×10ms-1) = 4.55×10-10 m = 455 pm

2.58. Similar to electron diffraction, neutron diffraction microscope is also used for the determination of the structure of molecules. If the wavelength used here is 800 pm, calculate the characteristic velocity associated with the neutron.

Answer
Mass of neutron = 1.675×10-27 kg
λ = h/mv
⇒ v = h/mλ = 6.626×10-34 kgm2s-1/(1.675×10-27 kg) (800×10-12 m) = 4.94×10ms-1

2.59. If the velocity of the electron in Bohr’s first orbit is 2.19×106 ms-1, calculate the de Broglie wavelength associated with it.
 
Answer
λ = h/mv = 6.626×10-34 kgm2s-1/(9.11×10-31 kg) (2.19×106 ms-1) = 3.32×10-10 m =332 pm
 
2.60. The velocity associated with a proton moving in a potential difference of 1000 V is 4.37×10ms-1. If the hockey ball of mass 0.1 kg is moving with this velocity, calcualte the wavelength associated with this velocity.
 
Answer
λ = h/mv = 6.626×10-34 kgm2s-1/(0.1 kg) (4.37×105 ms-1) = 1.516×10-28 m
 
2.61. If the position of the electron is measured within an accuracy of + 0.002 nm, calculate the uncertainty in the momentum of the electron. Suppose the momentum of the electron is 
h/(4π×0.05 nm), is there any problem in defining this value.
 
Answer
Δx = 0.002 nm = 2×10-12 m
Δx × Δp = h/4π
∴ Δp = h/4πΔx = 6.626×10-34 kgm2s-1/(4×3.14×2×10-12 m) = 2.638×10-23 kgms-1 
Actual momentum = h/(4π×0.05 nm) = h/(4π×5×10-11 m) 
= 6.626×10-34 kgm2s-1/(4×3.14×5×10-11 m) = 1.055×10-24 kgms-1 
It cannot be defined because the actual magnitude of the momentum is smaller than the uncertainty. 
 
2.62. The quantum numbers of six electrons are given below. Arrange them in order of increasing energies. If any of these combination(s) has/have the same energy lists:
1. n = 4, l = 2, ml  = –2 , m s = –1/2
2. n = 3, l = 2, ml  = 1 , m s = +1/2
3. n = 4, l = 1, ml  = 0 , m s = +1/2
4. n = 3, l = 2, ml  = –2 , m s = –1/2
5. n = 3, l = 1, ml  = –1 , m s = +1/2
6. n = 4, l = 1, ml  = 0 , m s = +1/2
 
Answer
The orbitals occupied by the electrons are: 
(1) 4d 
(2) 3d
(3) 4p
(4) 3d
(5) 3p
(6) 4p
Same orbitals will have same energy and higher the value of (n+l) higher is the energy,
Their energies will be in order: (5)<(2)=(4)<(6)=(3)<(1)

Page No: 69

2.63. The bromine atom possesses 35 electrons. It contains 6 electrons in 2p orbital, 6 electrons in 3p orbital and 5 electron in 4p orbital. Which of these electron experiences the lowest effective nuclear charge ?
 
Answer
4p electrons, being farthest from the nucleus experience the lowest effective nuclear charge.
 
2.64. Among the following pairs of orbitals which orbital will experience the larger effective nuclear charge? (i) 2s and 3s, (ii) 4d and 4f, (iii) 3d and 3p.
 
Answer
(i) 2s is closer to the nucleus than 3s. Hence, 2s will experience larger effective nuclear charge.
(ii) 4d (Reason being the same as above)
(iii) 3p (Reason being the same as above)
 
2.65. The unpaired electrons in Al and Si are present in 3p orbital. Which electrons will experience more effective nuclear charge from the nucleus ?
 
Answer
Silicon has greater nuclear charge (+14) than aluminium (+13). Hence, the unpaired 3p electron in case of silicon will experience more effective nuclear charge.
 
2.66. Indicate the number of unpaired electrons in : (a) P, (b) Si, (c) Cr, (d) Fe and (e) Kr.
 
Answer
(a) 15P = 1s2s2p3s3 pxpypz1. 3 unpaired electrons. (in 3p)
(b) 14Si = 1s2s2p3s3 pxpy1. 2 unpaired electrons.(in 3p)
(c) 24Cr = 1s2s2p3s3p3d4s1. 6 unpaired electrons. (5 in 3d and 1 in 4s)
(d)  26Fe = 1s2s2p3s3p3d4s2. 4 unpaired electrons. (in 3d)
(e) 36Kr = It is a Noble gas. All orbitals are filled. No unpaired electrons.

2.67. (a) How many sub-shells are associated with n = 4 ? (b) How many electrons will be present in the sub-shells having mvalue of –1/2 for n = 4 ?

Answer
(a) n=4, = 0, 1, 2, 3. 4 sub-shells are associated with n = 4
(b) No. of orbitals in the shells = n= 4= 16
Each orbitals has one electron with m= -1/2. Hence, there will be 16 electrons with m= -1/2.
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CLASS 11th CHAPTER -1 Some Basic Concepts of Chemistry |Chemistry | NCERT SOLUTION | EDUGROWN

NCERT Solutions for Class 11 Chemistry Chapter 1 Some Basic Concept Of Chemisrty includes all the important topics with detailed explanation that aims to help students to understand the concepts better. Students who are preparing for their Class 11 Chemistry exams must go through NCERT Solutions for Class 11 Chemisrty Chapter 1 Some Basic Concept Of Chemisrty.  NCERT Solutions will make you understand the topics in most simple manner and grasp it easily to perform better.

NCERT Solutions for Class 11 Chemistry Part 1

Chemistry Part 1 Class 11 will introduce you to basic concepts of subjects, about atoms, chemical bonding and other topics. There are 7 chapters through which learners can study in an organized manner and improve their studying habits.

Class 11th Chapter -1 Some Basic Concepts of Chemistry| NCERT CHEMISRTY SOLUTION |

Page No: 22
 
Exercises
1.1. Calculate the molecular mass of the following :
(i) H2O  (ii) CO2  (iii) CH4
Answer
(i) H2O = (2×Atomic mass of H) + (1×Atomic mass of O)
 = [2(1.0084) + 1(16.00)] amu = 2.016 u + 16.00 amu = 18.016 amu
 
(ii) CO2 = (1 × Atomic mass of C) + (2 × Atomic mass of O)
= [1(12.011) + 2 (16.00)] amu = 12.011 amu + 32.00 u = 44.01 amu
 
(iii) CH= (1 × Atomic mass of carbon) + (4 × Atomic mass of hydrogen)
= [1(12.011) + 4 (1.008)] amu = 12.011 amu + 4.032 amu = 16.043 amu
 
1.2. Calculate the mass percent of different elements present in Sodium Sulphate (Na2SO4).
Answer
Molar mass of Na2SO= [(2 × 23.0) + (32.00) + 4 (16.00)] = 142 g
Mass percent of an element = (Mass of that element in compound/Molar mass of that compound) × 100
∴ Mass percent of sodium (Na): (46/142) × 100 = 32.39%
Mass percent of sulphur(S): (32/142) × 100 = 22.54%
Mass percent of oxygen:(O): (64/142) × 100 = 45.07%
 
1.3. Determine the empirical formula of an oxide of iron which has 69.9% iron and 30.1% dioxygen by mass.
Answer
% of iron by mass = 69.9 % [Given]
% of oxygen by mass = 30.1 % [Given]
Atomic mass of iron = 55.85 amu
Atomic mass of oxygen = 16.00 amu
Relative moles of iron in iron oxide = %mass of iron by mass/Atomic mass of iron = 69.9/55.85 = 1.25
Relative moles of oxygen in iron oxide = %mass of oxygen by mass/Atomic mass of oxygen = 30.01/16=1.88
Simplest molar ratio = 1.25/1.25 : 1.88/1.25 
 ⇒ 1 : 1.5 = 2 : 3
∴ The empirical formula of the iron oxide is Fe2O3.

1.4. Calculate the amount of carbon dioxide that could be produced when
(i) 1 mole of carbon is burnt in air.
(ii) 1 mole of carbon is burnt in 16 g of dioxygen.
(iii) 2 moles of carbon are burnt in 16 g of dioxygen. 

Answer
The balanced reaction of combustion of carbon in dioxygens is:
C(s)     +    O2(g)     →    CO (g)
1mole     1mole(32g)     1mole(44g)
(i) In dioxygen, combustion is complete. Therefore 1 mole of carbon dioxide  produced by burning 1 mole of carbon.
(ii) Here, oxgen acts as a limiting reagent as only 16 g of dioxygen is available. Hence, it will react with 0.5 mole of carbon to give 22 g of carbon dioxide.

(iii) Here again oxgen acts as a limiting reagent as only 16 g of dioxygen is available. It is a limiting reactant. Thus, 16 g of dioxygen can combine with only 0.5 mole of carbon to give 22 g of carbon dioxide.
 
1.5. Calculate the mass of sodium acetate (CH3COONa) required to make 500 mL of 0.375 molar aqueous solution. Molar mass of sodium acetate is 82.0245g mol-1.
 
Answer
0.375 M aqueous solution of sodium acetate means that 1000 mL of solution containing 0.375 moles of sodium acetate.
∴No. of moles of sodium acetate in 500 mL = (0.375/1000)×500 = 0.375/2 = 0.1875
Molar mass of sodium acetate = 82.0245g mol-1
∴Mass of sodium acetate acquired =  0.1875×82.0245 g = 15.380g
 
1.6. Calculate the concentration of nitric acid in moles per litre in a sample which has a density, 1.41 g mL-1 and the mass per cent of nitric acid in it being 69%.

Answer
Mass percent of 69% means tat 100g of nitric acid solution contain 69 g of nitric acid by mass.
Molar mass of nitric acid (HNO3) = 1+14+48 = 63g mol-1

Number of moles in 69 g of HNO= 69/63 moles = 1.095 moles
Volume of 100g  nitric acid solution = 100/1.41 mL = 70.92 mL = 0.07092 L
∴ Conc. of HNOin moles per litre = 1.095/0.07092 = 15.44 M

1.7. How much copper can be obtained from 100 g of copper sulphate (CuSO4 )?

Answer
1 mole of CuSO4 contains 1 mole of copper.
Molar mass of CuSO4 = (63.5) + (32.00) + 4(16.00)
= 63.5 + 32.00 + 64.00 = 159.5 g
159.5 g of CuSO4 contains 63.5 g of copper.
∴ copper can be obtained from 100 g of copper sulphate = (63.5/159.5)×100 = 39.81g

1.8. Determine the molecular formula of an oxide of iron in which the mass per cent of iron and oxygen are 69.9 and 30.1 respectively.Given that the molar mass of the oxide is 159.69 g mol-1

Answer
% of iron by mass = 69.9 % [Given]
% of oxygen by mass = 30.1 % [Given]
Atomic mass of iron = 55.85 amu
Atomic mass of oxygen = 16.00 amu
Relative moles of iron in iron oxide = %mass of iron by mass/Atomic mass of iron = 69.9/55.85 = 1.25
Relative moles of oxygen in iron oxide = %mass of oxygen by mass/Atomic mass of oxygen = 30.01/16=1.88
Simplest molar ratio = 1.25/1.25 : 1.88/1.25 
⇒  1 : 1.5 = 2 : 3
∴ The empirical formula of the iron oxide is Fe2O3.
Mass of Fe2O3 = (2×55.85) + (3×16.00) = 159.7 g mol-1

n = Molar mass/Empirical formula mass = 159.7/159.6 = 1(approx)
Thus, Molecular formula is same as Empirical Formula i.e.  Fe2O3.
 
1.9. Calculate the atomic mass (average) of chlorine using the following data :
                  % Natural Abundance             Molar Mass
35Cl                      75.77                              34.9689
37Cl                      24.23                              36.9659

Answer
Fractional Abundance of 35Cl =  0.7577 and Molar mass = 34.9689
Fractional Abundance of 37Cl =  0.2423 and Molar mass = 36.9659
∴ Average Atomic mass = (0.7577×34.9689)amu + (0.2423×36.9659)
= 26.4959 + 8.9568 = 35.4527

1.10. In three moles of ethane (C2H6), calculate the following :
(i) Number of moles of carbon atoms.
(ii) Number of moles of hydrogen atoms.
(iii) Number of molecules of ethane.

Answer
(i) 1 mole of C2H contains 2 moles of Carbon atoms
∴ 3 moles of of C2H6  will contain 6 moles of Carbon atoms
(ii) 1 mole of C2H contains 6 moles of Hydrogen atoms
∴ 3 moles of of C2H6  will contain 18 moles of Hydrogen atoms
(iii) 1 mole of C2H contains Avogadro’s no. 6.02×1023 molecules
∴ 3 moles of of C2H6  will contain ethane molecule = 3×6.02 ×1023= 18.06 ×1023 molecules.

1.11. What is the concentration of sugar (C12H22O11) in mol L-1  if its 20 g are dissolved in
enough water to make a final volume up to 2L?

Answer
Molar mass of sugar (C12H22O11) = (12×12)+(1×22)+(11×16) = 342 g mol-1
No. of moles in 20g of sugar = 20/342 = 0.0585 mole
Volume of Solution = 2L (given)
Molar concentration = Moles of solute/Volume of solution in L = 0.0585mol/2L = 0.0293 mol L-1 = 0.0293 M
 
1.12. If the density of methanol is 0.793 kg L-1 , what is its volume needed for making
2.5 L of its 0.25 M solution?

Answer
Molar mass of methanol (CH3OH) = (1×12)+(4×1)+(1×16) = 32 g mol-1 = 0.032 kg mol-1
Molarity of the solution = 0.793/0.032 = 24.78 mol L-1 
Applying, M1V1 (Given Solution) = M2V(Solution to be prepared)
24.78×V= 0.25×2.5 L
V1= 0.02522 L = 25.22 mL

1.13. Pressure is determined as force per unit area of the surface. The SI unit of pressure, pascal is as shown below :
1Pa = 1N m-2
If mass of air at sea level is 1034 g cm-2,calculate the pressure in pascal.

Answer
Pressure is the force (i.e. weigh) acting per unit area.
P= F/A = 1034g×9.8ms-2/cm2
 = 1034g×9.8ms-2/cm× 1kg/1000g × 100cm/1m × 100cm/1m = 1.01332×105 N
Now,
1Pa = 1N m-2
∴ 1.01332×105 N×m-2 = 1.01332×105  Pa

1.14. What is the SI unit of mass? How is it defined?

Answer
The SI unit of mass is kilogram (kg).
The kg is defined as the mass of platinum-iridium (Pt-Ir) cylinder that is stored in an air-tight jar at International Bureau of Weigh and Measures in France.
 
1.15. Match the following prefixes with their multiples:
     Prefixes                        Multiples
(i)  micro                              106
(ii) deca                                109
(iii) mega                              10-6
(iv) giga                                10-15
(v) femto                               10

Answer
 Prefixes                        Multiples
(i)  micro                              10-6
(ii) deca                                10
(iii) mega                              106
(iv) giga                                109
(v) femto                               10-15

1.16. What do you mean by significant figures ?
 
Answer
Significant figures are meaningful digits which are known with certainty including the last digit whose value is uncertain.
For example, 
In 11.2546 g, there are 6 significant figures but here 11.254 is certain and 6 is uncertain and the uncertainty would be ±1 in the last digit. Hence last uncertain digit is also included in Significant figures.
 
1.17. A sample of drinking water was found to be severely contaminated with chloroform, CHCl3, supposed to be carcinogenic in nature. The level of contamination was 15 ppm (by mass).
(i) Express this in percent by mass.
(ii) Determine the molality of chloroform in the water sample.

Answer
(i) 15 ppm means 5 parts in million(106) parts.
∴ % by mass = 15/10× 100 = 15×10-4 = 1.5×10-3 %
(ii) Molar mass of chloroform(CHCl3) = 12+1+(3×35.5) = 118.5 g mol-1
100g of the sample contain chloroform = 1.5×10-3g
∴ 1000 g(1 kg) of the sample will contain chloroform = 1.5×10-2 g
= 1.5×10-2/118.65 mole = 1.266×10-4 mole
∴ Molality = 1.266×10-4 m.

1.18. Express the following in the scientific notation:
(i) 0.0048
(ii) 234,000
(iii) 8008
(iv) 500.0
(v) 6.0012

Answer
(i) 0.0048 = 4.8×10-3
(ii) 234, 000 = 2.34×105
(iii) 8008 = 8.008×103
(iv) 500.0 = 5.000×102
(v) 6.0012 = 6.0012×100
 
1.19. How many significant figures are present in the following?
(i) 0.0025
(ii) 208
(iii) 5005
(iv) 126,000
(v) 500.0
(vi) 2.0034
 
Answer
(i) 2
(ii) 3
(iii) 4
(iv) 3
(v) 4
(vi) 5
 
1.20. Round up the following upto three significant figures:
(i) 34.216
(ii) 10.4107
(iii) 0.04597
(iv) 2808
 
Answer
(i) 34.2
(ii) 10.4
(iii) 0.046
(iv) 2810
1.21. The following data are obtained when dinitrogen and dioxygen react together to form different compounds:
       Mass of dinitrogen          Mass of dioxygen
(i)         14 g                                      16 g
(ii)        14 g                                      32 g
(iii)       28 g                                      32 g
(iv)       28 g                                      80 g
(a) Which law of chemical combination is obeyed by the above experimental data?Give its statement.
(b) Fill in the blanks in the following conversions:
(i) 1 km = …………………. mm = …………………. pm
(ii) 1 mg = …………………. kg = …………………. ng
(iii) 1 mL = …………………. L = …………………. dm3

Answer
(a) Fixing the mass of dinitrogen as 28 g, masses of dioxygen combined will be 32, 64, 32 and 80 g in the given four oxides. These masses of dioxygen bears a simple whole number ratio as 2:4:2:5. Hence, the data given will obey the law of multiple proportions. 
The statement is as follows two elements always combine in  a fixed mass of other bearing a simple ratio to another to form two or more chemical compounds.
(b) (i) 1 km =  1km×1000m/1km×100cm/1m/10mm/1cm = 10mm
1 km =  1km×1000m/1km×1pm/10-12m = 1015 pm
(ii) 1 mg = 1mg×1g/1000mg×1kg/1000g = 10-6 kg
1 mg = 1mg×1g/1000mg×1ng/10-9g = 10-6 ng
(iii) 1 mL = 1mL×1L/1000mL = 10-3 L
1 mL = 1cm3 = 1cm3×(1dm×1dm×1dm/10cm×10cm×10cm) = 103dm3
 
1.22. If the speed of light is 3.0 × 108ms-1, calculate the distance covered by light in 2.00 ns.

Answer

Distance covered = Speed×Time = 3.0 × 108ms-1 × 2.00 ns
= 3.0×108ms-1×2.00 ns×10-9s/1ns = 6.00×10-1m = 0.600m

1.23. In a reaction
A + B→ AB2
Identify the limiting reagent, if any, in the following reaction mixtures.
(i) 300 atoms of A + 200 molecules of B
(ii) 2 mol A + 3 mol B
(iii) 100 atoms of A + 100 molecules of B
(iv) 5 mol A + 2.5 mol B
(v) 2.5 mol A + 5 mol B

Answer
(i) According to the reaction, 1 atom of A reacts with 1 molecule of B.
 ∴200 molecules of B will react with 200 atoms of A, thereby leaving 100 atoms of A unreacted. Hence, B is the limiting reagent.
(ii) According to the reaction, 1 mol of A reacts with 1 mol of B. 
∴ 2 mol of A will react with only 2 mol of B leaving 1 mol of B. Hence, A is the limiting reagent.
(iii) 1 atom of A combines with 1 molecule of B.
∴ All 100 atoms of A will combine with all 100 molecules of B. Hence, the mixture is stoichiometric and ther is no limiting reagent.
(iv) 1 mol of atom A combines with 1 mol of molecule B. 
∴ 2.5 mol of B will combine with only 2.5 mol of A. and 2.5 mol of A will be left unreacted. Hence, B is the limiting reagent.
(v) 1 mol of atom A combines with 1 mol of molecule B. 
∴ 2.5 mol of A will combine with only 2.5 mol of B and the remaining 2.5 mol of B will be left. Hence, A is the limiting reagent.
 
1.24. Dinitrogen and dihydrogen react with each other to produce ammonia according to the following chemical equation:
N2(g) + H2(g) → 2NH3(g)
(i) Calculate the mass of ammonia produced if 2.00×103g dinitrogen reacts with 1.00×103g of dihydrogen.
(ii) Will any of the two reactants remain unreacted?
(iii) If yes, which one and what would be its mass?

Answer
1 mole of dinitrogen (28g) reacts with 3 mole of dihydrogen (6g) to give 2 mole of ammonia (34g).
∴ 2000 g of Nwill react with H= 6/28 ×200g = 428.6g. Thus, here Nis the limiting reagent while His in excess.
28g of N2 produce 34g of NH3.
∴2000g of N2 will produce = 34/28×2000g = 2428.57 g of NH3.
(ii) N2 is the limiting reagent and H2 is the excess reagent. Hence, H2 will remain unreacted.
(iii) Mass of dihydrogen left unreacted = 1000g – 428.6g = 571.4 g
 
1.25. How are 0.50 mol Na2CO3and 0.50 M Na2COdifferent?

Answer
Molar mass of Na2CO3 = (2×23)+12.00+(3×16) = 106 g mol-1
∴0.50 mol Na2COmeans 0.50×106g = 53g
0.50 M Na2COmeans 0.50 mol of Na2COi.e. 53g of  Na2COare present in 1litre of the solution.
 
1.26. If ten volumes of dihydrogen gas reacts with five volumes of dioxygen gas, how many volumes of water vapour would be produced?
 
Answer
Dihydrogen gas reacts with dioxygen gas as, 
2H2(g) + O2(g) → 2H2O(g)
Thus, two volumes of dihydrogen react with one volume of dihydrogen to produce two volumes of water vapour. Hence, ten volumes of dihydrogen will react with five volumes of dioxygen to produce ten volumes of water vapour.
 
1.27. Convert the following into basic units:
(i) 28.7 pm
(ii) 15.15 pm
(iii) 25365 mg
 
Answer
(i) 1 pm = 10-12 m
28.7 pm = 28.7×10-12 m = 2.87×10-11 m
(ii) 1 pm = 10-12 m
∴15.15 pm = 15.15×10-12 m = 1.515 ×10-11 m
(iii) 1 mg = 10-3 g
25365 mg = 2.5365×104×10-3 g
Now,
1 g = 10-3 kg
2.5365×10 g = 2.5365×10×10-3 kg
∴25365 mg = 2.5365×10-2 kg
 
1.28. Which one of the following will have largest number of atoms?
(i) 1 g Au (s)
(ii) 1 g Na (s)
(iii) 1 g Li (s)
(iv) 1 g of Cl2 (g)

Answer
(i) 1 g Au = 1/197 mol = 1/197×6.022×1023 atoms
(ii) 1 g Na = 1/23 mol = 1/23×6.022×1023 atoms
(iii) 1 g Li = 1/7 mol = 1/7×6.022×1023 atoms
(iv) 1 g Cl= 1/71 mol = 1/71×6.022×1023 atoms
Thus, 1 g of Li has the largest number of atoms.

1.29. Calculate the molarity of a solution of ethanol in water in which the mole fraction of ethanol is 0.040 (assume the density of water to be one).

Answer

Mole fraction of C2H5OH = No. of moles of C2H5OH/No. of moles of solution
nC2H5OH = n(C2H5OH)/(C2H5OH)+n(H2O) = 0.040 (Given) … 1
We have to find the number of moles of ethanol in 1L of the solution but the solution is dilute. Therefor, water is approx. 1L.
No. of moles in 1L of water = 1000g/18g mol-1 = 55.55 moles
Substituting n(H2O) = 55.55 in equation 1
n(C2H5OH)/(C2H5OH) + 55.55 = 0.040
⇒ 0.96n(C2H5OH) = 55.55 × 0.040
⇒ n(C2H5OH) = 2.31 mol
Hence, molarity of the solution = 2.31M

1.30. What will be the mass of one  12C atom in g ?

Answer
1 mol of 12C atoms = 6.022×1023 atoms = 12g
∴ Mass of 1 atom 12C = 12/6.022×1023 g = 1.9927×10-23 g

1.31. How many significant figures should be present in the answer of the following calculations?
(i) 0.02856×298.15×0.112/0.5785
(ii) 5 × 5.364
(iii) 0.0125 + 0.7864 + 0.0215

Answer

(i) Least precise term i.e. 0.112 is having 3 significant digits.
∴ There will be 3 significant figures in the calculation.
(ii) 5.364 is having 4 significant figures.
∴ There will be 4 significant figures in the calculation.
(iii) Least number of decimal places in each term is 4.
∴ There will be 4 significant figures in the calculation.
 
1.32. Use the data given in the following table to calculate the molar mass of naturally occuring argon isotopes:
Isotope              Isotopic molar mass            Abundance
36Ar                  35.96755 g mol-1                 0.337%
38Ar                  37.96272 g mol-1                0.063%
40Ar                  39.9624 g mol-1                  99.600%

Answer
Molar mass of Ar =  ∑piAi
= (0.00337×35.96755)+(0.00063×37.96272)+(0.99600×39.9624) = 39.948 g mol-1
 
1.33. Calculate the number of atoms in each of the following
(i) 52 moles of Ar (ii) 52 u of He (iii) 52 g of He.
 
Answer
 
(i) 1 mol of Ar = 6.022×1023atoms
∴ 52 mol of Ar = 52×6.022×1023atoms = 3.131×1025atoms
(ii) 1 atom of He = 4 u of He
4 u of He = 1 Atom of He
∴ 52 u of He = 1/4 × 52 = 13 atoms
(iii) 1 mol of He = 4 g = 6.022×1023atoms
∴ 52 g of He = (6.022×1023/4) × 52 atoms = 7.8286×1024atoms
 
1.34. A welding fuel gas contains carbon and hydrogen only. Burning a small sample of it in oxygen gives 3.38 g carbon dioxide , 0.690 g of water and no other products. A volume of 10.0 L (measured at STP) of this welding gas is found to weigh 11.6 g. Calculate (i) empirical formula, (ii) molar mass of the gas, and (iii) molecular formula.
 
Answer
Amount of carbon in 3.38 g of CO= 12/44 × 3.38 g = 0.9218 g
Amount of hydrogen in 0.690 g H2O = 2/18 × 0.690 g = 0.0767 g
The compound contains only C and H, therefore total mass of the compound = 0.9218 + 0.0767 = 0.9985 g
% of C in the compound = (0.9218/0.9985)×100 = 92.32
% of H in the compound = (0.0767/0.9985)×100 = 7.68
(i) Calculation of empirical formula,
Moles of carbon in the compound = 92.32/12 = 7.69
Moles of hydrogen in the compound = 7.68/1 = 7.68
Simplest molar ratio = 7.69 : 7.68 = 1(approx)
∴ Empirical formula CH
(ii) 10.0 L of the gas at STP weigh = 11.6 g
∴ 22.4 L of the gas at STP = 11.6/10.0 × 22.4 = 25.984 = 26 (approx)
∴ Molar mass of gass = 26 g mol-1
(iii) Mass of empirical formula CH = 12+1 = 13
∴ n = Molecular Mass/Empirical Formula = 26/13 = 2 
∴ Molecular Formula = C2H2



1.35. Calcium carbonate reacts with aqueous HCl to give CaCl2 and CO2 according to the reaction, CaCO3 (s) + 2HCl (aq) → CaCl2(aq) + CO2(g) + H2O(l)
What mass of CaCO3 is required to react completely with 25 mL of 0.75 M HCl?

Answer
1000 mL of 0.75 M HCl have 0.75 mol of HCl = 0.75×36.5 g = 24.375 g
∴ Mass of HCl in 25mL of 0.75 M HCl = 24.375/1000 × 25 g = 0.6844 g
From the given chemical equation,
CaCO3 (s) + 2HCl (aq) → CaCl2(aq) + CO2(g) + H2O(l)
2 mol of HCl i.e. 73 g HCl react completely with 1 mol of CaCO3 i.e. 100g
∴ 0.6844 g  HCl reacts completely with CaCO3 = 100/73 × 0.6844 g = 0.938 g

1.36. Chlorine is prepared in the laboratory by treating manganese dioxide (MnO2) with aqueous hydrochloric acid according to the reaction
4HCl (aq) + MnO2(s) → 2H2O(l) + MnCl2(aq) + Cl2(g)
How many grams of HCl react with 5.0 g of manganese dioxide?

Answer
1 mol of MnO= 55+32 g = 87 g
87 g of MnOreact with 4 moles of HCl i.e. 4×36.5 g = 146 g of HCl.
∴ 5.0 g of  MnOwill react with HCl = 146/87×5.0 g = 8.40 g.
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