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Chemistry · Class 11 Science

Ch 5Thermodynamics — Class 11 Chemistry, concept-first.

"It is the only physical theory of universal content concerning which I am convinced that, within the framework of the applicability of its basic concepts, it will never be overthrown." — Albert Einstein

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Chapter contents

The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.

Introduction

"It is the only physical theory of universal content concerning which I am convinced that, within the framework of the applicability of its basic concepts, it will never be overthrown." — Albert Einst…

5.1

Thermodynamic Terms

Every chemical reaction involves some change in energy — heat may be given out or absorbed, and work may be done on or by the system.

5.1.1

The System and the Surroundings

Thermodynamics is the study of energy changes that accompany physical and chemical processes. To analyse these changes in a disciplined way, we must first define the region of the universe we are focu…

5.1.2

Types of the System

A system can exchange matter and/or energy with its surroundings, or neither — three possibilities, giving three types of system:

5.1.2.1

Open System

An open system can exchange both matter and energy with its surroundings.

5.1.2.2

Closed System

A closed system can exchange energy with its surroundings, but not matter.

5.1.2.3

Isolated System

An isolated system can exchange neither matter nor energy with its surroundings.

5.1.3

The State of the System

To do any useful calculation in thermodynamics, you must first describe the system. This means specifying its measurable properties quantitatively — things like pressure (), volume (), temperature (),…

5.1.4

The Internal Energy as a State Function

When a chemical system gains or loses energy, we need a quantity that represents the total energy stored inside it — chemical, electrical, mechanical, and every other form combined.

5.1.4(a)

Work

Let us first examine how the internal energy changes when only work is done. Imagine a system containing some water inside a thermos flask or an insulated beaker.

5.1.4(b)

Heat

We can also change the internal energy of a system by transferring heat from the surroundings to the system (or vice versa) without doing any work.

5.1.4(c)

The general case

Now consider the general case in which a change of state is brought about both by doing work and by transferring heat. The change in internal energy for this case is:

5.2

Applications

We now turn from defining the state functions of a system to seeing how they behave in real processes.

5.2.1

Work

In thermodynamics, work is not just any kind of effort — it is a precisely defined mode of energy transfer between a system and its surroundings.

5.2.2

Enthalpy, H

Applying the first law to a closed system requires two more state functions: enthalpy (), and the heat capacity that relates a temperature change to the heat absorbed.

5.2.2(a)

A Useful New State Function

When a chemical reaction is carried out in a beaker or flask open to the atmosphere, the pressure remains constant (atmospheric pressure) but the volume may change.

5.2.2(b)

Extensive and Intensive Properties

In thermodynamics, properties of a system are classified into two fundamental categories.

5.2.2(c)

Heat Capacity

When heat is transferred to a system, the temperature of the system rises. The increase in temperature is proportional to the amount of heat transferred:

5.2.2(d)

The Relationship between Cp and CV for an Ideal Gas

The heat capacity of a system depends on the conditions under which the heating occurs. Two special cases are particularly important:

5.3

Measurement of ΔU and ΔH: Calorimetry

Both and are measured experimentally using calorimetry — tracking the temperature change of a known quantity of surrounding fluid (usually water) to work out how much heat a process released or absorb…

5.3(a)

ΔU Measurements

For chemical reactions, the heat absorbed or evolved at constant volume, , is measured using a bomb calorimeter.

(B)

ΔH Measurements

Measurement of heat change at constant pressure () is done in a simpler calorimeter, often a Styrofoam cup or a beaker, open to the atmosphere (Fig. 5.8).

5.4

Enthalpy Change, ΔH of a Reaction – Reaction Enthalpy

In a chemical reaction, reactants are converted into products: reactants products. The enthalpy change accompanying a reaction is called the reaction enthalpy, :

5.4(a)

Standard Enthalpy of Reactions

Enthalpy of a reaction depends on the conditions under which the reaction is carried out. Temperature, pressure, and physical states all affect the value.

5.4(b)

Enthalpy Changes during Phase Transformations

Phase transformations involve energy changes. When ice melts, heat is absorbed. This melting occurs at constant pressure (atmospheric pressure) and during the phase change, temperature remains constan…

5.4(c)

Standard Enthalpy of Formation

The standard enthalpy of formation is the standard enthalpy change for the formation of one mole of a compound from its elements in their most stable states of aggregation (also called reference state…

5.4(d)

Thermochemical Equations

A balanced chemical equation together with the value of its is called a thermochemical equation. The physical state (including allotropic state) of each substance must be specified.

5.4(e)

Hess's Law of Constant Heat Summation

Enthalpy is a state function. Therefore, the change in enthalpy is independent of the path between the initial state (reactants) and the final state (products).

5.5

Enthalpies for Different Types of Reactions

Not every enthalpy change is a full reaction enthalpy — chemists also tabulate enthalpies for specific, standardised physical/chemical events so they can be combined via Hess's law:

5.5(a)

Standard Enthalpy of Combustion

Combustion reactions are exothermic — they release heat. They are important in industry, rocketry, and everyday life (for example, the burning of cooking gas or fuel in a vehicle).

5.5(b)

Enthalpy of Atomization

Definition: The enthalpy of atomization is the enthalpy change when one mole of bonds is completely broken to obtain atoms in the gas phase.

5.5(c)

Bond Enthalpy

Chemical reactions involve the breaking and making of chemical bonds. Energy is required to break a bond, and energy is released when a bond is formed.

5.5(d)

Lattice Enthalpy

Definition: The lattice enthalpy of an ionic compound is the enthalpy change which occurs when one mole of an ionic compound dissociates into its ions in the gaseous state.

5.5(e)

Enthalpy of Solution

Definition: The enthalpy of solution of a substance is the enthalpy change when one mole of it dissolves in a specified amount of solvent.

5.5(f)

Enthalpy of Dilution

The enthalpy of solution is the enthalpy change associated with the addition of a specified amount of solute to a specified amount of solvent at constant temperature and pressure.

5.6

Spontaneity

Knowing is not enough to predict whether a reaction happens on its own. This part builds the real criterion for spontaneity — entropy, and then Gibbs energy, which combines enthalpy and entropy into a…

5.6(a)

Is Decrease in Enthalpy a Criterion for Spontaneity?

When we observe phenomena like water flowing downhill or a stone falling to the ground, we see a net decrease in potential energy in the direction of change.

5.6(b)

Entropy and Spontaneity

What drives a spontaneous process when there is no change in enthalpy? Consider the diffusion of two gases into each other in a closed container that is isolated from the surroundings.

5.6(c)

Gibbs Energy and Spontaneity

We have seen that it is the total entropy change, , that decides the spontaneity of a process. But most chemical reactions occur in closed or open systems, not isolated ones.

5.6(d)

Entropy and Second Law of Thermodynamics

For an isolated system, the change in energy remains constant. Therefore, an increase in entropy in such systems is the natural direction of a spontaneous change.

5.6(e)

Absolute Entropy and Third Law of Thermodynamics

Molecules of a substance can move in a straight line in any direction (translational motion), spin like a top (rotational motion), and have bonds that stretch and compress (vibrational motion).

5.7

Gibbs Energy Change and Equilibrium

We have already seen that the sign and magnitude of the standard Gibbs energy change, , tells us two things: whether a reaction is spontaneous, and how much useful work it can provide.

Summary

- System, surroundings, and boundary define the thermodynamic system. The universe = system + surroundings.

Exercises

The chapter closes with 22 numbered Exercises that test the ideas developed above — thermodynamic terms and the first law, work and heat for ideal-gas processes, enthalpy and calorimetry, Hess's law a…

+Exercisesi22 questions
  1. 5.1Choose the correct answer. A thermodynamic state function is a quantity (i) used to determine heat changes (ii) whose value is independent o…Free
  2. 5.2For the process to occur under adiabatic conditions, the correct condition is: (i) $\Delta T = 0$ (ii) $\Delta p = 0$ (iii) $q = 0$ (iv) $w…Free
  3. 5.3The enthalpies of all elements in their standard states are: (i) unity (ii) zero (iii) < 0 (iv) different for each elementFree
  4. 5.4$\Delta U^\ominus$ of combustion of methane is $-X$ kJ mol$^{-1}$. The value of $\Delta H^\ominus$ is (i) $= \Delta U^\ominus$ (ii) $> \Delt…Preview
  5. 5.5The enthalpy of combustion of methane, graphite and dihydrogen at 298 K are –890.3 kJ mol$^{-1}$, –393.5 kJ mol$^{-1}$ and –285.8 kJ mol$^{-…Preview
  6. 5.6A reaction, $A + B \rightarrow C + D + q$ is found to have a positive entropy change. The reaction will be (i) possible at high temperature…Preview
  7. 5.7In 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 p…Preview
  8. 5.8The reaction of cyanamide, $NH_2CN(s)$, with dioxygen was carried out in a bomb calorimeter, and $\Delta U$ was found to be –742.7 kJ mol$^{…Preview
  9. 5.9Calculate 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…Preview
  10. 5.10Calculate the enthalpy change on freezing of 1.0 mol of water at 10.0 °C to ice at –10.0 °C. $\Delta_{fus}H = 6.03$ kJ mol$^{-1}$ at 0 °C. $…Preview
  11. 5.11Enthalpy of combustion of carbon to $CO_2$ is –393.5 kJ mol$^{-1}$. Calculate the heat released upon formation of 35.2 g of $CO_2$ from carb…Preview
  12. 5.12Enthalpies of formation of $CO(g)$, $CO_2(g)$, $N_2O(g)$ and $N_2O_4(g)$ are –110, –393, 81 and 9.7 kJ mol$^{-1}$ respectively. Find the val…Preview
  13. 5.13Given $N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$; $\Delta_r H = -92.4$ kJ mol$^{-1}$. What is the standard enthalpy of formation of $NH_3$ gas?Preview
  14. 5.14Calculate the standard enthalpy of formation of $CH_3OH(l)$ from the following data: $CH_3OH(l) + \tfrac{3}{2} O_2(g) \rightarrow CO_2(g) +…Preview
  15. 5.15Calculate the enthalpy change for the process $CCl_4(g) \rightarrow C(g) + 4Cl(g)$ and calculate the bond enthalpy of C–Cl in $CCl_4(g)$. $\…Preview
  16. 5.16For an isolated system, $\Delta U = 0$, what will be $\Delta S$?Preview
  17. 5.17For the reaction at 298 K, $2A + B \rightarrow C$, $\Delta H = 400$ kJ mol$^{-1}$ and $\Delta S = 0.2$ kJ K$^{-1}$ mol$^{-1}$. At what tempe…Preview
  18. 5.18For the reaction $2Cl(g) \rightarrow Cl_2(g)$, what are the signs of $\Delta H$ and $\Delta S$?Preview
  19. 5.19For the reaction $2A(g) + B(g) \rightarrow 2D(g)$, $\Delta U = -10.5$ kJ and $\Delta S = -44.1$ JK$^{-1}$. Calculate $\Delta G$ for the reac…Preview
  20. 5.20The equilibrium constant for a reaction is 10. What will be the value of $\Delta G^\ominus$? $R = 8.314$ JK$^{-1}$ mol$^{-1}$, $T = 300$ K.Preview
  21. 5.21Comment on the thermodynamic stability of NO(g), given: $\tfrac{1}{2} N_2(g) + \tfrac{1}{2} O_2(g) \rightarrow NO(g)$; $\Delta_r H = 90$ kJ…Preview
  22. 5.22Calculate the entropy change in surroundings when 1.00 mol of $H_2O(l)$ is formed under standard conditions. $\Delta_f H = -286$ kJ mol$^{-1…Preview

Exemplar Problems

Higher-order thinking / exemplar-style practice problems.

+Show 62 questions62 questions
  1. Q1Thermodynamics is not concerned about______. (i) energy changes involved in a chemical reaction. (ii) the extent to which a chemical reactio…Free
  2. Q2Which of the following statements is correct? (i) The presence of reacting species in a covered beaker is an example of open system. (ii) Th…Free
  3. Q3The state of a gas can be described by quoting the relationship between___. (i) pressure, volume, temperature (ii) temperature, amount, pres…Free
  4. Q4The volume of gas is reduced to half from its original volume. The specific heat will be ______. (i) reduce to half (ii) be doubled (iii) re…Preview
  5. Q5During complete combustion of one mole of butane, 2658 kJ of heat is released. The thermochemical reaction for above change is (i) 2C4H10(g)…Preview
  6. Q6ΔfU° of formation of CH4(g) at certain temperature is -393 kJ mol^-1. The value of ΔfH° is (i) zero (ii) < ΔfU° (iii) > ΔfU° (iv) equal to Δ…Preview
  7. Q7In an adiabatic process, no transfer of heat takes place between system and surroundings. Choose the correct option for free expansion of an…Preview
  8. Q8The pressure-volume work for an ideal gas can be calculated by using the expression $w = -\int_{V_i}^{V_f} p_{ex}\,dV$. The work can also be…Preview
  9. Q9The entropy change can be calculated by using the expression ΔS = qrev/T. When water freezes in a glass beaker, choose the correct statement…Preview
  10. Q10On the basis of thermochemical equations (a), (b) and (c), find out which of the algebric relationships given in options (i) to (iv) is corr…Preview
  11. Q11Consider the reactions given below. On the basis of these reactions find out which of the algebric relations given in options (i) to (iv) is…Preview
  12. Q12The enthalpies of elements in their standard states are taken as zero. The enthalpy of formation of a compound (i) is always negative (ii) i…Preview
  13. Q13Enthalpy of sublimation of a substance is equal to (i) enthalpy of fusion + enthalpy of vapourisation (ii) enthalpy of fusion (iii) enthalpy…Preview
  14. Q14Which of the following is not correct? (i) ΔG is zero for a reversible reaction (ii) ΔG is positive for a spontaneous reaction (iii) ΔG is n…Preview
  15. Q15Thermodynamics mainly deals with (Note: more than one of the given options may be correct.) (i) interrelation of various forms of energy and…Preview
  16. Q16In an exothermic reaction, heat is evolved, and system loses heat to the surrounding. For such system (Note: more than one of the given opti…Preview
  17. Q17The spontaneity means, having the potential to proceed without the assistance of external agency. The processes which occur spontaneously ar…Preview
  18. Q18For an ideal gas, the work of reversible expansion under isothermal condition can be calculated by using the expression w = -nRT ln(Vf/Vi).…Preview
  19. Q19Consider the following reaction between zinc and oxygen and choose the correct options out of the options given below : 2 Zn(s) + O2(g) → 2…Preview
  20. Q2018.0 g of water completely vapourises at 100°C and 1 bar pressure and the enthalpy change in the process is 40.79 kJ mol^-1. What will be th…Preview
  21. Q21One mole of acetone requires less heat to vapourise than 1 mol of water. Which of the two liquids has higher enthalpy of vapourisation?Preview
  22. Q22Standard molar enthalpy of formation, ΔfH° is just a special case of enthalpy of reaction, ΔrH°. Is the ΔrH° for the following reaction same…Preview
  23. Q23The value of ΔfH° for NH3 is -91.8 kJ mol^-1. Calculate enthalpy change for the following reaction : 2NH3(g) → N2(g) + 3H2(g)Preview
  24. Q24Enthalpy is an extensive property. In general, if enthalpy of an overall reaction A→B along one route is ΔrH and ΔrH1, ΔrH2, ΔrH3 ..... repr…Preview
  25. Q25The enthalpy of atomisation for the reaction CH4(g) → C(g) + 4H(g) is 1665 kJ mol^-1. What is the bond energy of C-H bond?Preview
  26. Q26Use the following data to calculate ΔlatticeH° for NaBr. ΔsubH° for sodium metal = 108.4 kJ mol^-1 Ionization enthalpy of sodium = 496 kJ mo…Preview
  27. Q27Given that ΔH = 0 for mixing of two gases. Explain whether the diffusion of these gases into each other in a closed container is a spontaneo…Preview
  28. Q28Heat has randomising influence on a system and temperature is the measure of average chaotic motion of particles in the system. Write the ma…Preview
  29. Q29Increase in enthalpy of the surroundings is equal to decrease in enthalpy of the system. Will the temperature of system and surroundings be…Preview
  30. Q30At 298 K, Kp for the reaction N2O4(g) ⇌ 2NO2(g) is 0.98. Predict whether the reaction is spontaneous or not.Preview
  31. Q31A sample of 1.0 mol of a monoatomic ideal gas is taken through a cyclic process of expansion and compression as shown in Fig. 6.1. What will…Preview
  32. Q32The standard molar entropy of H2O(l) is 70 J K^-1 mol^-1. Will the standard molar entropy of H2O(s) be more, or less than 70 J K^-1 mol^-1?Preview
  33. Q33Identify the state functions and path functions out of the following : enthalpy, entropy, heat, temperature, work, free energy.Preview
  34. Q34The molar enthalpy of vapourisation of acetone is less than that of water. Why?Preview
  35. Q35Which quantity out of ΔrG and ΔrG° will be zero at equilibrium?Preview
  36. Q36Predict the change in internal energy for an isolated system at constant volume.Preview
  37. Q37Although heat is a path function but heat absorbed by the system under certain specific conditions is independent of path. What are those co…Preview
  38. Q38Expansion of a gas in vacuum is called free expansion. Calculate the work done and the change in internal energy when 1 litre of ideal gas e…Preview
  39. Q39Heat capacity (Cp) is an extensive property but specific heat (c) is an intensive property. What will be the relation between Cp and c for 1…Preview
  40. Q40The difference between CP and CV can be derived using the empirical relation H = U + pV. Calculate the difference between CP and CV for 10 m…Preview
  41. Q41If the combustion of 1g of graphite produces 20.7 kJ of heat, what will be molar enthalpy change? Give the significance of sign also.Preview
  42. Q42The net enthalpy change of a reaction is the amount of energy required to break all the bonds in reactant molecules minus amount of energy r…Preview
  43. Q43The enthalpy of vapourisation of CCl4 is 30.5 kJ mol^-1. Calculate the heat required for the vapourisation of 284 g of CCl4 at constant pres…Preview
  44. Q44The enthalpy of reaction for the reaction : 2H2(g) + O2(g) → 2H2O(l) is ΔrH° = -572 kJ mol^-1. What will be standard enthalpy of formation o…Preview
  45. Q45What will be the work done on an ideal gas enclosed in a cylinder, when it is compressed by a constant external pressure, $p_{ext}$ in a sin…Preview
  46. Q46How will you calculate work done on an ideal gas in a compression, when change in pressure is carried out in infinite steps?Preview
  47. Q47Represent the potential energy/enthalpy change in the following processes graphically. (a) Throwing a stone from the ground to roof. (b) (1/…Preview
  48. Q48Enthalpy diagram for a particular reaction is given in Fig. 6.3. Is it possible to decide spontaneity of a reaction from given diagram. Expl…Preview
  49. Q491.0 mol of a monoatomic ideal gas is expanded from state (1) to state (2) as shown in Fig. 6.4. Calculate the work done for the expansion of…Preview
  50. Q50An ideal gas is allowed to expand against a constant pressure of 2 bar from 10 L to 50 L in one step. Calculate the amount of work done by t…Preview
  51. Q51Match the following : Column A (i) Adiabatic process (ii) Isolated system (iii) Isothermal change (iv) Path function (v) State function (vi)…Preview
  52. Q52Match the following processes with entropy change: Reaction (i) A liquid vapourises (ii) Reaction is non-spontaneous at all temperatures and…Preview
  53. Q53Match the following parameters with description for spontaneity. The parameters are ΔrH°, ΔrS° and ΔrG° (in that order). Parameters (i) ΔrH°…Preview
  54. Q54Match the following : Column I (i) Entropy of vapourisation (ii) K for spontaneous process (iii) Crystalline solid state (iv) ΔU in adiabati…Preview
  55. Q55Assertion (A): Combustion of all organic compounds is an exothermic reaction. Reason (R): The enthalpies of all elements in their standard s…Preview
  56. Q56Assertion (A): Spontaneous process is an irreversible process and may be reversed by some external agency. Reason (R): Decrease in enthalpy…Preview
  57. Q57Assertion (A): A liquid crystallises into a solid and is accompanied by decrease in entropy. Reason (R): In crystals, molecules organise in…Preview
  58. Q58Derive the relationship between ΔH and ΔU for an ideal gas. Explain each term involved in the equation.Preview
  59. Q59Extensive properties depend on the quantity of matter but intensive properties do not. Explain whether the following properties are extensiv…Preview
  60. Q60The lattice enthalpy of an ionic compound is the enthalpy when one mole of an ionic compound present in its gaseous state, dissociates into…Preview
  61. Q61ΔG is net energy available to do useful work and is thus a measure of "free energy". Show mathematically that ΔG is a measure of free energy…Preview
  62. Q62Graphically show the total work done in an expansion when the state of an ideal gas is changed reversibly and isothermally from (pi, Vi) to…Preview