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
Key concepts
Hover a concept to preview it and jump to its most relevant Q&A.
First Law of Thermodynamics
Imagine you have a bank account. You can deposit money into it, or withdraw money from it. The total amount of money in your account changes only by the net of what goes in and what comes out.
Most relevant Q&A
- Express the change in internal energy of a system when: (i) No heat is absorbed by the system from the surroundings, but work (w) is done on…Preview
- Two litres of an ideal gas at a pressure of 10 atm expands isothermally at 25 °C into a vacuum until its total volume is 10 litres. How much…Free
- For 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
- 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 p…Preview
- In an adiabatic process, no transfer of heat takes place between system and surroundings. Choose the correct option for free expansion of an…Preview
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…
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.
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…
Types of the System
A system can exchange matter and/or energy with its surroundings, or neither — three possibilities, giving three types of system:
Open System
An open system can exchange both matter and energy with its surroundings.
Closed System
A closed system can exchange energy with its surroundings, but not matter.
Isolated System
An isolated system can exchange neither matter nor energy with its surroundings.
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 (),…
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.
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.
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.
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:
Applications
We now turn from defining the state functions of a system to seeing how they behave in real processes.
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.
+−Problemsi3 questions
- Problem 5.2Two litres of an ideal gas at a pressure of 10 atm expands isothermally at 25 °C into a vacuum until its total volume is 10 litres. How much…Free
- Problem 5.3Consider the same expansion (of an ideal gas from 2 L to 10 L), but this time against a constant external pressure of 1 atm.Preview
- Problem 5.4Consider the expansion of 1 mol of an ideal gas (from 2 L to 10 L at 25 °C) conducted reversibly.Preview
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.
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.
Extensive and Intensive Properties
In thermodynamics, properties of a system are classified into two fundamental categories.
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:
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:
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…
ΔU Measurements
For chemical reactions, the heat absorbed or evolved at constant volume, , is measured using a bomb calorimeter.
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).
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, :
+−Problemsi2 questions
- Problem 5.7A swimmer coming out from a pool is covered with a film of water weighing about 18 g. How much heat must be supplied to evaporate this water…Free
- Problem 5.8Assuming the water vapour to be a perfect gas, calculate the internal energy change when 1 mol of water at 100 °C and 1 bar pressure is conv…Preview
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.
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…
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…
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.
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).
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:
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).
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.
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.
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.
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.
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.
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…
+−Problemsi2 questions
- Problem 5.10Predict in which of the following, entropy increases/decreases: (i) A liquid crystallizes into a solid. (ii) Temperature of a crystalline so…Free
- Problem 5.11For oxidation of iron, $4Fe(s) + 3O_2(g) \rightarrow 2Fe_2O_3(s)$, entropy change is –549.4 JK$^{-1}$ mol$^{-1}$ at 298 K. In spite of the n…Preview
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.
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.
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.
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.
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).
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.
+−Problemsi3 questions
- Problem 5.12Calculate $\Delta_r G^\ominus$ for the conversion of oxygen to ozone, $\tfrac{3}{2} O_2(g) \rightarrow O_3(g)$ at 298 K, if $K_p$ for this c…Free
- Problem 5.13Find out the value of the equilibrium constant for the following reaction at 298 K: $2NH_3(g) + CO_2(g) \rightarrow NH_2CONH_2(aq) + H_2O(l)…Preview
- Problem 5.14At 60 °C, dinitrogen tetroxide is 50 per cent dissociated. Calculate the standard free energy change at this temperature and at one atmosphe…Preview
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
- 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
- 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) $w…Free
- 5.3The enthalpies of all elements in their standard states are: (i) unity (ii) zero (iii) < 0 (iv) different for each elementFree
- 5.4$\Delta U^\ominus$ of combustion of methane is $-X$ kJ mol$^{-1}$. The value of $\Delta H^\ominus$ is (i) $= \Delta U^\ominus$ (ii) $> \Delt…Preview
- 5.5The enthalpy of combustion of methane, graphite and dihydrogen at 298 K are –890.3 kJ mol$^{-1}$, –393.5 kJ mol$^{-1}$ and –285.8 kJ mol$^{-…Preview
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 5.16For an isolated system, $\Delta U = 0$, what will be $\Delta S$?Preview
- 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
- 5.18For the reaction $2Cl(g) \rightarrow Cl_2(g)$, what are the signs of $\Delta H$ and $\Delta S$?Preview
- 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
- 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
- 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
- 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 questionsHide questions62 questions
- Q1Thermodynamics is not concerned about______. (i) energy changes involved in a chemical reaction. (ii) the extent to which a chemical reactio…Free
- 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
- Q3The state of a gas can be described by quoting the relationship between___. (i) pressure, volume, temperature (ii) temperature, amount, pres…Free
- 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
- 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
- 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
- Q7In an adiabatic process, no transfer of heat takes place between system and surroundings. Choose the correct option for free expansion of an…Preview
- 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
- 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
- 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
- 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
- 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
- Q13Enthalpy of sublimation of a substance is equal to (i) enthalpy of fusion + enthalpy of vapourisation (ii) enthalpy of fusion (iii) enthalpy…Preview
- 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
- Q15Thermodynamics mainly deals with (Note: more than one of the given options may be correct.) (i) interrelation of various forms of energy and…Preview
- 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
- Q17The spontaneity means, having the potential to proceed without the assistance of external agency. The processes which occur spontaneously ar…Preview
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Q29Increase in enthalpy of the surroundings is equal to decrease in enthalpy of the system. Will the temperature of system and surroundings be…Preview
- Q30At 298 K, Kp for the reaction N2O4(g) ⇌ 2NO2(g) is 0.98. Predict whether the reaction is spontaneous or not.Preview
- 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
- 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
- Q33Identify the state functions and path functions out of the following : enthalpy, entropy, heat, temperature, work, free energy.Preview
- Q34The molar enthalpy of vapourisation of acetone is less than that of water. Why?Preview
- Q35Which quantity out of ΔrG and ΔrG° will be zero at equilibrium?Preview
- Q36Predict the change in internal energy for an isolated system at constant volume.Preview
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Q46How will you calculate work done on an ideal gas in a compression, when change in pressure is carried out in infinite steps?Preview
- Q47Represent the potential energy/enthalpy change in the following processes graphically. (a) Throwing a stone from the ground to roof. (b) (1/…Preview
- 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
- 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
- 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
- Q51Match the following : Column A (i) Adiabatic process (ii) Isolated system (iii) Isothermal change (iv) Path function (v) State function (vi)…Preview
- Q52Match the following processes with entropy change: Reaction (i) A liquid vapourises (ii) Reaction is non-spontaneous at all temperatures and…Preview
- Q53Match the following parameters with description for spontaneity. The parameters are ΔrH°, ΔrS° and ΔrG° (in that order). Parameters (i) ΔrH°…Preview
- Q54Match the following : Column I (i) Entropy of vapourisation (ii) K for spontaneous process (iii) Crystalline solid state (iv) ΔU in adiabati…Preview
- Q55Assertion (A): Combustion of all organic compounds is an exothermic reaction. Reason (R): The enthalpies of all elements in their standard s…Preview
- Q56Assertion (A): Spontaneous process is an irreversible process and may be reversed by some external agency. Reason (R): Decrease in enthalpy…Preview
- Q57Assertion (A): A liquid crystallises into a solid and is accompanied by decrease in entropy. Reason (R): In crystals, molecules organise in…Preview
- Q58Derive the relationship between ΔH and ΔU for an ideal gas. Explain each term involved in the equation.Preview
- Q59Extensive properties depend on the quantity of matter but intensive properties do not. Explain whether the following properties are extensiv…Preview
- 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
- 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
- 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