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NCERT Solutions
Class 11
Chemistry
Chapter 5 - Chemical Thermodynamics

Frequently Asked Questions

An open system exchanges both matter and energy with its surroundings. A closed system exchanges energy but not matter, while an isolated system exchanges neither matter nor energy.

The first law states that energy can neither be created nor destroyed. It can only change from one form to another.

State functions depend only on the initial and final states of a system, not on the process followed. Path functions depend on the specific process used to move between these states. Internal energy and enthalpy are state functions, while heat and work are path functions.

Hess’s law states that the total enthalpy change of a reaction remains the same whether the reaction takes place in one step or several steps, provided the initial and final states are the same.

Exothermic reactions release heat into the surroundings, whereas endothermic reactions absorb heat from the surroundings. For example, the combustion of fuel is exothermic, while the thermal decomposition of calcium carbonate is endothermic.

Students can access NCERT Solutions Class 11 Chemistry Chapter 5 on the ALLEN website. The chapter-wise solutions help them understand thermodynamics concepts, review textbook questions, and prepare for CBSE exams and competitive exams such as JEE.

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NCERT Solutions Class 11 Chemistry Chapter 5 - Chemical Thermodynamics

NCERT Solutions for Class 11 Chemistry Chapter 5 (Chemical Thermodynamics) help students understand energy changes, heat transfer, and why some chemical reactions happen on their own. These solutions explain important topics in simple English and help students learn formulas, solve numerical questions, and prepare for CBSE exams, JEE, and NEET.

NCERT Solutions for Class 11 Chemistry Chapter 5 cover the First, Second, and Third Laws of Thermodynamics with answers to textbook questions. Students can use these solutions to learn the laws, solve numerical problems, revise important topics, and prepare for school exams and competitive exams.

1.0Class 11 Chemistry Chapter 5 Chemical Thermodynamics: Key Concepts

This chapter explains how energy changes during chemical reactions and physical processes. The key concepts include:

  • Thermodynamic Terms: Understanding systems (open, closed, and isolated), surroundings, state functions, and extensive and intensive properties.
  • Internal Energy (U): Learning how heat and work transfer energy between a system and its surroundings.
  • First Law of Thermodynamics: Understanding the law of energy conservation using the equation ΔU=q+w.
  • Enthalpy (H): Learning how to calculate heat changes at constant pressure and understand the relationship between ΔH and ΔU
  • Enthalpy Changes of Reactions: Studying standard enthalpy of formation, combustion, atomisation, and solution.
  • Hess’s Law of Constant Heat Summation: Calculating the enthalpy change of a reaction using different steps.
  • Entropy (S): Understanding entropy, changes in molecular arrangement, and the Second Law of Thermodynamics.
  • Gibbs Free Energy (G): Using the equation ΔG=ΔH−TΔS to determine whether a process is spontaneous under given conditions.
  • Third Law of Thermodynamics: Learning that a perfectly crystalline substance has zero entropy at absolute zero.

2.0Detailed NCERT Textbook Solutions : Class 11 Chemistry Chapter 5

NCERT EXERCISE

  1. Choose the correct answer. A thermodynamic state function is a quantity
    (i) used to determine heat changes
    (ii) whose value is independent of path
    (iii) used to determine pressure volume work
    (iv) whose value depends on temperature only.
    Ans. A thermodynamic state function is a quantity whose value is independent of a path. Functions like p, V, T etc. depend only on the state of a system and not on the path. Hence, alternative is correct.
  2. For the process to occur under adiabatic conditions, the correct condition is:
    (i) ΔT=0
    (ii) Δp=0
    (iii) q=0
    (iv) w=0
    Ans. A system is said to be under adiabatic conditions if there is no exchange of heat between the system and its surroundings. Hence, under adiabatic conditions, q=0. Therefore, alternative (iii) is correct.
  3. The enthalpies of all elements in their standard states are:
    (i) unity
    (ii) zero
    (iii) < 0
    (iv) different for each element
    Ans. The enthalpy of all elements in their standard state is zero. Therefore, alternative (ii) is correct.
  4. ΔUθ of combustion of methane is −XkJmol−1. The value of ΔHθ is :
    (i) =ΔUθ
    (ii) >ΔUθ
    (iii) <ΔUθ
    (iv) =0
    Ans. Since ΔHθ=ΔUθ+Δng​RT and ΔUθ=−XkJ mol−1,ΔHθ=(−X)+Δng​RT.
⇒ΔHθ<ΔUθ

Therefore, alternative (iii) is correct.

  1. 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 :
    (i) −74.8 kJ mol−1
    (ii) -52.27 kJ mol-1
    (iii) +74.8 kJ mol−1
    (iv) +52.26 kJ mol−1

Ans. According to the question,

(i) CH4(g)​+2O2(g)​→CO2(g)​+2H2​O(g)​ΔH=−890.3 kJ mol−1

(ii) C(s)​+O2(g)​→CO2(g)​ΔH=−393.5 kJ mol−1

(iii) 2H2(g)​+O2(g)​→2H2​O(g)​ΔH=−285.8 kJ mol−1

Thus, the desired equation is the one that represents the formation of CH4 (g)

​i.e., C(s)​+2H2(g)​→CH4(g)​Δf​HCH4​​=Δc​HC​+2Δc​HH2​​−Δc​HCO2​​=[−393.5+2(−285.8)−(−890.3)] kJ mol−1=−74.8 kJ mol−1​

: Enthalpy of formation of CH4​(g)

= –74.8kJmol−1

Hence, alternative (i) is correct.

  1. A reaction, A + B → C + D + q is found to have a positive entropy change. The reaction will be

(i) possible at high temperature

(ii) possible only at low temperature

(iii) not possible at any temperature

(iv) possible at any temperature

Ans. For a reaction to be spontaneous, ΔG should be negative.

For a reaction to be spontaneous, ΔG should be negative.

ΔG = ΔH – TΔS

According to the question, for the given reaction,

ΔS = positive

ΔH = negative (since heat is evolved)

= ΔG = negative Therefore, the reaction is spontaneous at any temperature.

Hence, alternative (iv) is correct.

  1. In a process, 701 J of heat is absorbed by a system and 394 J of work is done by the system. What is the change in internal energy for the process?

Ans. According to the first law of thermodynamics,

ΔU = q + W (i)

Where,

ΔU = change in internal energy for a process

q = heat

W = work

Given,

q = + 701 J (Since heat is absorbed)

W = –394 J (Since work is done by the system)

Substituting the values in expression (i), we get

ΔU = 701 J + (–394 J)

ΔU = 307 J

Hence, the change in internal energy for the given process is 307 J.

  1. The reaction of cyanamide, NH2CN(s),with dioxygen was carried out in a bomb calorimeter, and –U was found to be –742.7 kJ mol–1 at 298 K.

Calculate enthalpy change for the reaction at 298 K.

NH2​CN(s)​+23​O2(g)​→N2(g)​+Co2(g)​+H2​O(l)​

Ans. Enthalpy change for a reaction (–H) is given by the expression,

–H=–U+–ng​RT

Where,

– = change in internal energy

–ng​ = change in number of moles

For the given reaction,

–ng​=–ng​(products)–ng​(reactants)

= (2 – 1.5) moles

–ng​=0.5molesAnd,

–U=–742.7kJmol1

T = 298 K

R=8.314A˚–103​kJmol1​K1​

Substituting the values in the expression of –H:

–H=(–742.7kJmol−1)+(0.5mol)(298K)(8.314A˚–10−3kJmol−1K−1)

= –742.7 + 1.2

–H=–741.5kJmol−1

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−1K−1

Ans. From the expression of heat (q), q = m. c. ΔT

Where, c = molar heat capacity

m = mass of substance

ΔT = change in temperature

Substituting the values in the expression of q:

q=(2760​ mol)(24 J mol−1K−1)(20 K)

q = 1066.7 J

q = 1.07 kJ

  1. Calculate the enthalpy change on freezing of 1.0 mol of water at 10.0°C to ice at –10.0°C.

Δfus​(H)=6.03kJmol−1at0°C

Cp[H2​O(1)]=75.3Jmol−1−1

Cp[H2​O(s)]=36.8Jmol−1K−1

Ans. Total enthalpy change involved in the transformation is the sum of the following changes:

(a) Energy change involved in the transformation of 1 mol of water at 10°C to 1 mol of water at 0°C.

(b) Energy change involved in the transformation of 1 mol of water at 0° to 1 mol of ice at 0°C.

(c) Energy change involved in the transformation of 1 mol of ice at 0°C to 1 mol of ice at –10°C.

​Total ΔH=CP​[H2​OCl]ΔT+ΔH+CP​[H2​O(s)​]ΔT=(75.3 J mol−1K−1)(0−10)K+(−6.03×103 J mol−1)+(36.8 J mol−1K−1)(−10−0)K​

=–753Jmol−1–6030Jmol−1–368Jmol−1=–7151Jmol−1=–7.151kJmol−1

Hence, the enthalpy change involved in the transformation is –7.151kJmol−1

  1. Enthalpy of combustion of carbon to CO2​is–393.5kJmol−1 .Calculate the heat released upon formation of 35.2 g of CO2​ from carbon and dioxygen gas.

Ans. Formation of CO2​ from carbon and dioxygen gas can be represented as:

​C(s)​+O2(g)​→C2(g)​Δf​H=−393.5 kJ mol−1(1 mole=44 g)Heat released on formation of 44 g CO2​=−393.5 kJ mol−1∴ Heat released on formation of 35.2 g CO2​=−314.8 kJ mol−1=44 g−393.5 kL mol−1​×35.2 g=−314.8 kJ mol−1​


​12. Enthalpies of formation of CO(g)​, CO2(g)​, N2​O(g)​ and N2​O4(g)​are −110 kJ mol−1, −393 kJ mol−1, 81 kJ mol−1 and 9.7 kJ mol−1respectively. Find the value of Δr​H for the reaction:N2​O4(g)​+3CO(g)​→N2​O(g)​+3CO2(g)​​

Ans. ΔrH for a reaction is defined as the difference between ΔfH value of products and ΔfH value of reactants.

Δr​H=∑Δf​H(products)−∑Δf​H(reactants)

​N2​O4(g)​+3CO(g)​→N2​O(g)​+3CO2(g)​Δr​H=[{Δf​H(N2​O)+3Δf​H(CO2​)}−{Δf​H(N2​O4​)+3Δf​H(CO)}]​

Substituting the values of ΔfHforN2​O,CO2​,N2​O4​, and CO from the question, we get

​Δr​H=[{81 kJ mol−1+3(−393) kJ mol−1}−{9.7 kJ mol−1+3(−110) kJ mol−1}]Δr​H=−777.7 kJ mol−1​

Hence, the value of Δr​H for the reaction is –777.7kJmol−1.


13. Given; Δr​Hθ=−92.4 kJ mol−1N2(g)​+3H2(g)​→2NH3(g)​; Δr​Hθ=−92.4 kJ mol−1

What is the standard enthalpy of formation of NH3​ gas?

Ans. Standard enthalpy of formation of a compound is the change in enthalpy that takes place during the formation of 1 mole of a substance in its standard form from its constituent elements in their standard state. Re-writing the given equation for 1 mole of

​NH3​(g), 21​N2(g)​+23​H2(g)​→NH3(g)​∴ Standard enthalpy of formation of NH3(g)​=21​Δr​Hθ=21​(−92.4 kJ mol−1)=−46.2 kJ mol−1​

  1. Calculate the standard enthalpy of formation of CH3​OH(1) from the following data:

​CH3​OH(l)​+23​O2(g)​→CO2(g)​+2H2​O(l)​; Δr​Hθ=−726 kJ mol−1C(g)​+O2(g)​→CO2(g)​; ΔC​Hθ=−393 kJ mol−1H2(g)​+21​O2(g)​→H2​O(l)​; Δr​Hθ=−286 kJ mol−1​


Ans. The reaction that takes place during the formation of CH3OH(l) can be written as:

C(s)​+2H2​O(g)​+21​O2(g)​→CH3​OH(l)​ (1)

The reaction (1) can be obtained from the given reactions by following the algebraic calculations as:

​Equation (ii)+2×equation (iii)−equation (i)Δf​Hθ[CH3​OH(l)​]=Δc​Hθ+2Δf​Hθ[H2​O(l)​]−Δr​Hθ=(−393 kJ mol−1)+2(−286 kJ mol−1)−(−726 kJ mol−1)=(−393−572+726) kJ mol−1∴ Δf​Hθ[CH3​OH(l)​]=−239 kJ mol−1​

15. Calculate the enthalpy change for the process CCl4​(g)→C(​g)+4Cl(​g) and calculate bond enthalpy of C–Cl in CCl4​(g).

​Δvap​Hθ(CCl4​)=30.5 kJ mol−1.Δf​Hθ(CCl4​)=−135.5 kJ mol−1.Δa​Hθ(C)=715.0 kJ mol−1, where Δa​Hθ is enthalpy of atomisationΔa​Hθ(Cl2​)=242 kJ mol−1​

Ans. The chemical equations implying to the given values of enthalpies are:

​(i)CCl4(l)​→CCl4(g)​(ii)Cl2(g)​→4Cl(g)​(iii)Cl(g)​→2Cl(g)​(iii)Cl(g)​+4Cl(g)​→CCl4(g)​​​Δvap​Hθ=30.5 kJ mol−1Δa​Hθ=715.0 kJ mol−1Δa​Hθ=242 kJ mol−1Δf​H=−135.5 kJ mol−1​

Enthalpy change for the given process CCl4​(g)→C(​g)+4Cl(​g), can be calculated using the following algebraic calculations as: Equation (ii) + 2 × Equation (iii) – Equation (i) – Equation

​(iv)ΔH=Δa​Hθ(C)+2Δa​Hθ(Cl2​)−Δvap​Hθ−Δf​H=(715.0 kJ mol−1)+2(242 kJ mol−1)−(30.5 kJ mol−1)−(−135.5 kJ mol−1)∴ ΔH=1304 kJ mol−1​

Bond enthalpy of C-Cl bond in CCl4​( g)

=41304​ kJ mol−1=326 kJ mol−1

  1. For an isolated system, ΔU=0, what will be ΔS ?
    Ans. ΔS will be positive i.e., greater than zero Since ΔU=0,Δ S will be positive and the reaction will be spontaneous.
  2. For the reaction at 298 K,
​2 A+B→CΔH=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?
Ans. From the expression, ΔG=ΔH−TΔS
Assuming the reaction at equilibrium, ΔT for the reaction would be:

​T=(ΔH−ΔG)Δ S1​=Δ SΔH​(ΔG=0 at equilibrium) T=2000 K​

For the reaction to be spontaneous, ΔG must be negative.
Hence, for the given reaction to be spontaneous, T should be greater than 2000 K.

  1. For the reaction, 2Cl(g)​→Cl2( g)​, what are the signs of ΔH and ΔS ?
    Ans. ΔH and ΔS are negative
    The given reaction represents the formation of chlorine molecule from chlorine atoms. Here, bond formation is taking place. Therefore, energy is being released. Hence, ΔH is negative.
    Also, two moles of atoms have more randomness than one mole of a molecule. Since spontaneity is decreased, ΔS is negative for the given reaction.
  2. For the reaction
​2 A(g)​+B(g)​→2D(g)​ΔUθ=−10.5 kJ and ΔSθ=−44.1JK−1.​

Calculate ΔGθ for the reaction, and predict whether the reaction may occur spontaneously.
Ans. For the given reaction,

​2 A(g)​+B(g)​→2D(g)​Δng​=2−(3)=−1 mole ​

Substituting the value of ΔUθ in the expression of ΔH :

​ΔHθ=ΔUθ+Δng​RT=(−10.5 kJ)−(−1)(8.314×10−3 kJ K−1 mol−1)(298 K)=−10.5 kJ−2.48 kJΔHθ=−12.98 kJ​

Substituting the values of ΔHθ and ΔSθ in the expression of ΔGθ :

​ΔGθ=ΔHθ−TΔ Sθ=−12.98 kJ−(298 K)(−44.1 J K−1)=−12.98 kJ+13.14 kJΔGθ=+0.16 kJ​

Since ΔGθ for the reaction is positive, the reaction will not occur spontaneously.

  1. The equilibrium constant for a reaction is 10. What will be the value of ΔGθ ?
R=8.314JK−1 mol−1, T=300 K.

Ans. From the expression,

ΔGθ=−2.303RTlog Keq​

ΔGθ for the reaction,

  1. Comment on the thermodynamic stability of NO(g)​, given
​21​ N2( g)​+21​+O2( g)​→NO(g)​;Δr​Hθ=90 kJ mol−1NO(g)​+21​O2( g)​→NO2( g)​:Δr​Hθ=−74 kJ mol−1​

This means that NO(g)​ has higher energy than the reactants (N2​ and O2​). Hence, NO(g)​ is unstable.
The negative value of Δr​H indicates that heat is evolved during the formation of NO2( g)​ from NO(g)​ and O2( g)​. The product, NO2( g)​ is stabilized with minimum energy. Hence, unstable NO(g)​ changes to stable NO2( g)​.

  1. Calculate the entropy change in surroundings when 1.00 mol of H2​O(l)​ is formed under standard conditions. Δf​Hθ=−286 kJ mol−1.
    Ans. It is given that 286 kJ mol−1 of heat is evolved on the formation of 1 mol of H2​O(l)​. Thus, an equal amount of heat will be absorbed by the surroundings.
qsurr ​=+286 kJ mol−1

Entropy change (ΔSsurr ​) for the surroundings

​=7qsurr ​​=298k286 kJ mol−1​∴Δ Ssurr ​=959.73 J mol−1 K−1.​

3.0


NCERT Class 11 Biology – Chapter-Wise Solutions & Explanations

Get Class 11 Chemistry NCERT Solutions with chapter-wise answers to textbook questions. Understand the concepts, revise important topics, and prepare for your exams.

Chapter Number

Chapterwise NCERT Solutions

Chapter 1

Some Basic Concepts of Chemistry

Chapter 2

Structure of Atom

Chapter 3

Classification of Elements and Periodicity in Properties

Chapter 4

Chemical Bonding and Molecular Structure

Chapter 6

Equilibrium

Chapter 7

Redox Reactions

Chapter 8

Organic Chemistry – Some Basic Principles and Techniques

Chapter 9

Hydrocarbons

4.0Key Features of NCERT Solutions for Class 11 Chemistry Chapter 5

  • Numerical Problems: Step-by-step solutions for calculating work done during reversible isothermal expansion using w=−2.303nRTlog(V2​/V1​)
  • Sign Conventions: Clear explanations of the IUPAC sign conventions for heat ((q)) and work ((w)) to help avoid calculation errors.
  • Spontaneity of Reactions: Understanding how temperature, enthalpy change ΔH and entropy change ΔS affect Gibbs free energy ΔG
  • Bond Enthalpy Calculations: Learning to calculate reaction enthalpy using the bond enthalpies of reactants and products.
  • Prepared by ALLEN Faculty: Solutions prepared by ALLEN faculty, covering key 

Chapter-wise Class 11 Chemistry NCERT Solutions

Chapter 1 Some Basic Concepts of Chemistry

Chapter 2 Structure of Atom

Chapter 3 Classification of Elements and Periodicity in Properties

Chapter 4 Chemical Bonding and Molecular Structure

Chapter 5 Chemical Thermodynamics

Chapter 6 Equilibrium

Chapter 7 Redox Reactions

Chapter 8 Organic Chemistry – Some Basic Principles and Techniques

Chapter 9 Hydrocarbons

Subject-wise Class 11 NCERT Solutions

Class 11 Physics

Class 11 Chemistry

Class 11 Maths

Class 11 Biology

Must Read Concepts: Chemical Thermodynamics

Bond Enthalpy

Ellingham diagram thermodynamic

Endothermic exothermic reactions difference

Enthalpy

Enthalpy and entropy

Enthalpy of Atomization

Extensive and intensive properties

First Law of Thermodynamics in chemistry

Gibbs energy change and EMF of a cell

Heat and Thermodynamics

Second Law of Thermodynamics in Chemistry

Specific Heat Capacity

Spontaneity In Thermodynamics

Standard Enthalpy of Formation

State Function

Thermal decomposition vs combustion

Thermochemical Equations

Thermochemistry

Thermodynamics in Chemistry

Class-wise NCERT Solutions

Class 12

Class 10

Class 9

Class 8

Class 7

Class 6

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