75 free MCQs on Thermodynamics with worked answers and explanations. Study energy changes in chemical reactions. Understand enthalpy, entropy, Gibbs free energy, and the laws of thermodynamics that decide whether a reaction will occur spontaneously or not.
Below are 75 practice questions on Thermodynamics, sorted Easy → Hard. Tap “Show answer & explanation” under any question to check yourself. Want the full theory first? Read the Thermodynamics notes.
Isothermal expansion follows a gentler curve (heat flows in to keep T constant) while adiabatic expansion drops in pressure more steeply (no heat exchange, so internal energy and temperature fall as the gas does work).
Easy - 25 questions
Q1.
Which of the following is an intensive property?
A Temperature
B Internal energy
C Volume
D Enthalpy
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Answer: A. Temperature
Why: Intensive properties (temperature, pressure, density) do not depend on the amount of substance; internal energy, volume and enthalpy are extensive.
Q2.
According to the equation ΔU = q + w, when work is done on the system, the sign of w is:
A Negative
B Positive
C Zero
D Infinite
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Answer: B. Positive
Why: In the IUPAC convention, work done on the system increases internal energy and is taken as positive; work done by the system is negative.
Q3.
Which of the following is a path function?
A Enthalpy
B Entropy
C Work
D Internal energy
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Answer: C. Work
Why: Work (and heat) depend on the path taken between states, so they are path functions. Enthalpy, entropy and internal energy are state functions.
Q4.
In NCERT thermodynamics, the standard state of a substance is defined at a pressure of:
A 1 atm
B 1 bar
C 1 Pa
D 1 torr
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Answer: B. 1 bar
Why: The current IUPAC/NCERT standard state is defined at a pressure of exactly 1 bar (the older convention used 1 atm).
Q5.
For a complete cyclic process, the change in internal energy (ΔU) is:
A Positive
B Negative
C Equal to q
D Zero
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Answer: D. Zero
Why: Internal energy is a state function, so over a complete cycle the system returns to its initial state and ΔU = 0.
Q6.
A reaction that releases heat to its surroundings is called:
A Endothermic
B Exothermic
C Isothermal
D Adiabatic
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Answer: B. Exothermic
Why: Exothermic reactions release heat, making the surroundings warmer (e.g., combustion, neutralisation).
Q7.
The SI unit of heat energy is:
A Calorie
B Joule
C Erg
D Watt
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Answer: B. Joule
Why: The SI unit of all energy, including heat, is the joule (J).
Q8.
Which law of thermodynamics states that energy cannot be created or destroyed?
A Zeroth law
B First law
C Second law
D Third law
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Answer: B. First law
Why: The first law (conservation of energy) states the total energy of the universe remains constant.
Q9.
Enthalpy change at constant pressure equals:
A Work done
B Internal energy change
C Heat absorbed or released
D Gibbs energy
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Answer: C. Heat absorbed or released
Why: At constant pressure, ΔH = qp, the heat absorbed or released by the system.
Q10.
A reaction is spontaneous when Gibbs free energy change (ΔG) is:
A Zero
B Positive
C Negative
D Infinite
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Answer: C. Negative
Why: A negative ΔG means the reaction proceeds spontaneously in the forward direction.
Q11.
The standard enthalpy of formation of any element in its most stable state is:
A Positive
B Negative
C Zero
D Cannot be determined
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Answer: C. Zero
Why: By definition, ΔHf° for elements in their standard state (e.g., O₂ gas, C-graphite) is zero.
Q12.
In an adiabatic process:
A Temperature is constant
B Pressure is constant
C No heat exchange occurs
D Volume is constant
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Answer: C. No heat exchange occurs
Why: Adiabatic means no heat is transferred between system and surroundings (q = 0).
Q13.
The unit of entropy is:
A J/mol
B kJ/mol
C J K⁻¹ mol⁻¹
D kJ K⁻¹
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Answer: C. J K⁻¹ mol⁻¹
Why: Entropy (S) has units of joules per kelvin per mole (J K⁻¹ mol⁻¹).
Q14.
Gibbs free energy is defined as:
A G = H + TS
B G = H - TS
C G = U + PV
D G = H + PV
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Answer: B. G = H - TS
Why: Gibbs free energy G = H - TS, combining enthalpy and entropy to predict spontaneity.
Q15.
Which thermodynamic process occurs at constant temperature?
A reaction is spontaneous only at high temperatures when:
A ΔH < 0, ΔS < 0
B ΔH > 0, ΔS > 0
C ΔH < 0, ΔS > 0
D ΔH > 0, ΔS < 0
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Answer: B. ΔH > 0, ΔS > 0
Why: When ΔH > 0 and ΔS > 0, ΔG = ΔH - TΔS becomes negative only at high T. Below T = ΔH/ΔS, non-spontaneous.
Q37.
The standard Gibbs energy change relates to the equilibrium constant by:
A ΔG° = RT ln K
B ΔG° = -RT ln K
C ΔG° = -nFE° mainly
D ΔG° = ΔH° mainly
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Answer: B. ΔG° = -RT ln K
Why: ΔG° = -RT ln K. A large K means a large negative ΔG°, confirming the reaction is product-favoured.
Q38.
Work done during isothermal reversible expansion of an ideal gas is:
A w = nRT ln(V₂/V₁)
B w = -nRT ln(V₂/V₁)
C w = PΔV mainly
D w = Zero usually
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Answer: B. w = -nRT ln(V₂/V₁)
Why: w = -nRT ln(V₂/V₁). For expansion V₂ > V₁, the system does work on surroundings (work done on system is negative).
Q39.
For an ideal gas undergoing free expansion into a vacuum, the values of q and w are:
A Both zero
B q is positive, w is zero
C Both negative
D q is zero, w is negative
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Answer: A. Both zero
Why: Free expansion into a vacuum occurs against zero external pressure, so w = 0, and since it happens in an isolated system, q = 0 as well.
Q40.
For the reaction N<sub>2</sub>(g) + 3H<sub>2</sub>(g) -> 2NH<sub>3</sub>(g), how is the standard enthalpy of formation of NH<sub>3</sub> related to the standard reaction enthalpy?
A Standard reaction enthalpy equals twice the standard enthalpy of formation of NH<sub>3</sub>
B Standard reaction enthalpy equals the standard enthalpy of formation of NH<sub>3</sub> divided by two
C Standard reaction enthalpy is unrelated to the enthalpy of formation of NH<sub>3</sub>
D Standard reaction enthalpy equals the standard enthalpy of formation of N<sub>2</sub> plus that of H<sub>2</sub>
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Answer: A. Standard reaction enthalpy equals twice the standard enthalpy of formation of NH<sub>3</sub>
Why: Since 2 moles of NH<sub>3</sub> are formed from the elements in their standard states, the standard reaction enthalpy equals 2 times the standard enthalpy of formation of NH<sub>3</sub>.
Q41.
For the isothermal expansion of an ideal gas, the change in internal energy ΔU is:
A positive
B negative
C zero
D equal to the heat lost
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Answer: C. zero
Why: Internal energy of an ideal gas depends only on temperature, so ΔU = 0 in any isothermal process.
Q42.
In an adiabatic process, the heat exchanged with the surroundings (q) is:
A at a maximum
B zero
C always negative
D always positive
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Answer: B. zero
Why: An adiabatic process occurs with no heat exchange, so q = 0 and ΔU = w.
Q43.
In ΔH = ΔU + ΔnₘRT, the term Δnₘ is the change in the number of moles of:
A solids
B liquids
C gases
D ions
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Answer: C. gases
Why: Only gaseous species change the PV term appreciably, so Δnₘ counts moles of gaseous products minus reactants.
Q44.
Which of these has the highest standard molar entropy at 298 K?
A ice
B liquid water
C water vapour
D they are equal
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Answer: C. water vapour
Why: Gases have far more positional disorder than liquids or solids, so water vapour has the highest entropy.
Q45.
Hess’s law of constant heat summation is a direct consequence of enthalpy being a:
A path function
B state function
C purely kinetic term
D non-additive quantity
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Answer: B. state function
Why: Because enthalpy is a state function, the total ΔH is the same regardless of the route taken.
Q46.
The enthalpy change when one mole of a compound forms from its elements in their standard states is the standard enthalpy of:
A combustion
B formation
C neutralisation
D solution
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Answer: B. formation
Why: This is the definition of the standard enthalpy of formation, ΔH_f°.
Q47.
For the reaction N₂(g) + 3H₂(g) → 2NH₃(g), the value of Δnₘ (gaseous) is:
The heat change measured at constant volume is equal to the change in:
A the enthalpy
B internal energy
C the entropy
D the free energy
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Answer: B. internal energy
Why: At constant volume no PV work is done, so q_v = ΔU.
Q49.
For one mole of an ideal gas, the difference between the molar heat capacities Cp and Cv equals:
A R
B 2R
C R/2
D zero
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Answer: A. R
Why: From ΔH = ΔU + Δ(PV) for an ideal gas, Cp − Cv = R (Mayer’s relation).
Q50.
For the isothermal reversible expansion of an ideal gas from V₁ to V₂, the work done by the gas is:
A zero throughout
B nRT ln(V₂/V₁)
C only PΔV
D always negative
Show answer & explanation
Answer: B. nRT ln(V₂/V₁)
Why: Reversible isothermal work = nRT ln(V₂/V₁), obtained by integrating P dV with P = nRT/V.
Hard - 25 questions
Q51.
Given ΔHf(CO<sub>2</sub>) = −393.5, ΔHf(H<sub>2</sub>O, l) = −285.8 and ΔHf(C<sub>2</sub>H<sub>5</sub>OH, l) = −277.0 kJ/mol, the standard enthalpy of combustion of ethanol is:
Assertion (A): In the isothermal reversible expansion of an ideal gas, q = −w. Reason (R): The internal energy of an ideal gas depends only on temperature, so ΔU = 0 in an isothermal change.
A A is true but R is false
B A is false but R is true
C Both A and R true; R correctly explains A
D Both A and R true; R does not explain A
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Answer: C. Both A and R true; R correctly explains A
Why: For an ideal gas ΔU depends only on T, so isothermally ΔU = 0; then q + w = 0, i.e. q = −w. R correctly explains A.
Q55.
An exothermic reaction releases 100 kJ of heat to the surroundings at 300 K. The entropy change of the surroundings is approximately:
A −333 J/K
B +300 J/K
C −100 J/K
D +333 J/K
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Answer: D. +333 J/K
Why: ΔS<sub>surr</sub> = +q<sub>surr</sub>/T = +100000/300 ≈ +333 J/K (surroundings gain heat, so their entropy rises).
Q56.
At what temperature does a reaction with ΔH = +80 kJ/mol and ΔS = +200 J/K/mol become spontaneous?
A 400 K
B 200 K
C 80 K
D 160 K
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Answer: A. 400 K
Why: ΔG = 0 when T = ΔH/ΔS = 80,000/200 = 400 K. Above 400 K, ΔG < 0 (spontaneous).
Q57.
For C(s) + O₂(g) → CO₂(g), the relationship between ΔH and ΔU is:
A ΔH > ΔU
B ΔH < ΔU
C ΔH = ΔU
D Cannot be determined
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Answer: C. ΔH = ΔU
Why: Δng = 1 gas product - 1 gas reactant = 0. Since ΔH = ΔU + ΔngRT and Δng = 0, ΔH = ΔU.
Q58.
Given ΔHc(C) = -393.5, ΔHc(H₂) = -285.8, ΔHc(CH₄) = -890 kJ/mol, the enthalpy of formation of CH₄ is:
Which of the following has a negative entropy change (ΔS < 0)?
A Melting of ice
B Dissolving a gas in liquid
C Vaporisation of water
D Dissolution of NaCl in water
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Answer: B. Dissolving a gas in liquid
Why: Dissolving a gas in liquid reduces disorder (gas → dissolved species), so ΔS < 0. Other options all increase disorder.
Q64.
For the reaction N<sub>2</sub>(g) + 3H<sub>2</sub>(g) -> 2NH<sub>3</sub>(g) at 300 K, if the internal energy change (Delta-U) is -100 kJ, what is the enthalpy change Delta-H (R = 8.314 J/K/mol)?