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Thermodynamics

25 JEE Main questions · Chemistry

  1. ChemistryJEE Main 21 Jan 2026, Shift 1·Q18·MCQ·Easy–moderate
    Open

    Pressure volume work

    Which of the following graphs between pressure ‘P' versus volume ‘V' represent the maximum work done ?
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  2. ChemistryJEE Main 21 Jan 2026, Shift 1·Q19·MCQ·Moderate
    Open

    Gibbs energy and equilibrium

    For the reaction, NX2OX4⇌2 NOX2\ce{N2O4 <=> 2NO2}, graph is plotted as shown below. Identify correct statements.
    • (A)Standard free energy change for the reaction is −5.40-5.40 kJ mol−1^{-1}.
    • (B)As ΔG⊖\Delta G^\ominus in graph is positive, NX2OX4\ce{N2O4} will not dissociate into NOX2\ce{NO2} at all.
    • (C)Reverse reaction will go to completion.
    • (D)When 1 mole of NX2OX4\ce{N2O4} changes into equilibrium mixture, value of ΔG⊖=−0.84\Delta G^\ominus = -0.84 kJ mol−1^{-1}
    • (E)When 2 mole of NOX2\ce{NO2}, changes into equilibrium mixture, ΔG⊖\Delta G^\ominus for equilibrium mixture is −6.24-6.24 kJ mol−1^{-1}.
    Choose the correct answer from the options given below :
    1. (1)D and E only
    2. (2)C and E only
    3. (3)A and D only
    4. (4)B and C only
    We corrected a printing error in the original paper

    Source printed “As AG⊖^\ominus in graph is positive” and printed statement E twice.

  3. ChemistryJEE Main 21 Jan 2026, Shift 1·Q23·Numerical·Moderate
    Open

    Gibbs energy and equilibrium constant

    Use the following data :
    SubstanceΔfH⊖(500 K)kJ mol−1\dfrac{\Delta_\mathrm{f}H^\ominus(500\,\mathrm{K})}{\mathrm{kJ\,mol^{-1}}}S⊖(500 K)J K−1 mol−1\dfrac{S^\ominus(500\,\mathrm{K})}{\mathrm{J\,K^{-1}\,mol^{-1}}}
    AB(g)32222
    AX2\ce{A2}(g)6146
    BX2\ce{B2}(g)X280

    One mole each of AX2\ce{A2}(g) and BX2\ce{B2}(g) are taken in a 1L closed flask and allowed to establish the equilibrium at 500K.

    AX2(g)+BX2(g)⇌2 AB(g)\ce{A2(g) + B2(g) <=> 2AB(g)}

    The value of X (in kJ mol−1^{-1}) is . (Nearest integer)

    (Given: log⁡K=2.2\log K = 2.2, R=8.3R = 8.3 J K−1^{-1} mol−1^{-1})

    We corrected a printing error in the original paper

    Source printed “The value of x” (the table names the quantity X).

  4. ChemistryJEE Main 21 Jan 2026, Shift 2·Q6·MCQ·Easy–moderate
    Open

    Bond enthalpy from formation enthalpy

    Consider the following data:

    ΔfH⊖\Delta_\mathrm{f}H^\ominus(methane, g) =−X= -X kJ mol−1^{-1}

    Enthalpy of sublimation of graphite =Y= Y kJ mol−1^{-1}

    Dissociation enthalpy of HX2\ce{H2} =Z= Z kJ mol−1^{-1}

    The bond enthalpy of C – H bond is given by:

    1. (1)X+Y+2Z4\dfrac{X+Y+2Z}{4}
    2. (2)X+Y+4Z2\dfrac{X+Y+4Z}{2}
    3. (3)X+Y+ZX+Y+Z
    4. (4)−X+Y+Z4\dfrac{-X+Y+Z}{4}
  5. ChemistryJEE Main 22 Jan 2026, Shift 1·Q10·MCQ·Moderate
    Open

    Work internal energy and enthalpy

    Match the LIST-I with LIST-II
    List-I: Thermodynamic ProcessList-II: Magnitude in kJ
    A.Work done in reversible, isothermal expansion of 2 mol of ideal gas from 2 dm3^3 to 20 dm3^3 at 300 K.I.4
    B.Work done in irreversible isothermal expansion of 1 mol ideal gas from 1 m3^3 to 3 m3^3 at 300 K against A constant pressure of 3kPa.II.11.5
    C.Change in internal energy for adiabatic expansion of a 1 mol ideal gas with change of temperature = 320 K and CˉV=32R\bar{C}_\mathrm{V} = \dfrac{3}{2}R.III.6
    D.Change in enthalpy at constant pressure of 1 mole ideal gas with change of temperature = 337 K and CˉP=52R\bar{C}_\mathrm{P} = \dfrac{5}{2}R.IV.7
    Choose the correct answer from the option given below :
    1. (1)A-III, B-II, C-IV, D-I
    2. (2)A-II, B-III, C-I, D-IV
    3. (3)A-I, B-II, C-III, D-IV
    4. (4)A-II, B-I, C-III, D-IV
  6. ChemistryJEE Main 22 Jan 2026, Shift 1·Q25·Numerical·Moderate
    Open

    Gibbs energy and degree of dissociation

    Dissociation of a gas AX2\ce{A2} takes place according to the following chemical reactions. At equilibrium, the total pressure is 1 bar at 300K.

    AX2(g)⇌2 A(g)\ce{A2(g) <=> 2A(g)}

    The standard Gibbs energy of formation of the involved substances has been provided below:

    SubstanceΔGf∘\Delta G_\mathrm{f}^\circ / kJ mol−1^{-1}
    AX2\ce{A2}−100.00-100.00
    A−50.832-50.832

    The degree of dissociation of AX2(g)\ce{A2(g)} is given by (x×10−2)1/2(x\times10^{-2})^{1/2} where xx = . (Nearest integer).

    [Given : R=8R = 8 J mol−1^{-1} K−1^{-1}, log⁡2=0.3010\log 2 = 0.3010, log⁡3=0.48\log 3 = 0.48]

    We corrected a printing error in the original paper

    Source printed the table heading as “ΔGt∘\Delta G_\mathrm{t}^\circ” (subscript t for f, formation).

  7. ChemistryJEE Main 22 Jan 2026, Shift 2·Q22·Numerical·Easy–moderate
    Open

    Born haber cycle lattice enthalpy

    If the enthalpy of sublimation of Li is 155 kJ mol−1^{-1}, enthalpy of dissociation of FX2\ce{F2} is 150 kJ mol−1^{-1}, ionization enthalpy of Li is 520 kJ mol−1^{-1}, electron gain enthalpy of F is −313-313 kJ mol−1^{-1}, standard enthalpy of formation of LiF is −594-594 kJ mol−1^{-1}. The magnitude of lattice enthalpy of LiF is kJ mol−1^{-1} (Nearest integer).
  8. ChemistryJEE Main 23 Jan 2026, Shift 1·Q8·MCQ·Easy–moderate
    Open

    First law sign conventions

    A cup of water at 5∘^\circC (system) is placed in a microwave oven and the oven is turned on for one minute during which, the water begins to boil. Which of the following option is true ?
    1. (1)q=+q = +ve, w=0w = 0, ΔU=−\Delta U = -ve
    2. (2)q=+q = +ve, w=−w = -ve, ΔU=+\Delta U = +ve
    3. (3)q=−q = -ve, w=−w = -ve, ΔU=−\Delta U = -ve
    4. (4)q=+q = +ve, w=−w = -ve, ΔU=−\Delta U = -ve
  9. ChemistryJEE Main 24 Jan 2026, Shift 1·Q13·MCQ·Easy–moderate
    Open

    Isothermal work reversible irreversible

    Match the List-I with List-II
    List-IList-II
    (Isothermal processWork done (Vf>Vi\boldsymbol{V_\mathrm{f} > V_\mathrm{i}})
    for ideal gas system)
    A.Reversible expansionI.w=0w = 0
    B.Free expansionII.w=−nRTln⁡VfViw = -nRT\ln\dfrac{V_\mathrm{f}}{V_\mathrm{i}}
    C.Irreversible expansionIII.w=−pex (Vf−Vi)w = -p_\mathrm{ex}\,(V_\mathrm{f} - V_\mathrm{i})
    D.Irreversible compressionIV.w=−pex (Vi−Vf)w = -p_\mathrm{ex}\,(V_\mathrm{i} - V_\mathrm{f})
    Choose the correct answer from the options given below :
    1. (1)A-IV, B-I, C-III, D-II
    2. (2)A-IV, B-II, C-III, D-I
    3. (3)A-I, B-III, C-II, D-IV
    4. (4)A-II, B-I, C-III, D-IV
  10. ChemistryJEE Main 24 Jan 2026, Shift 2·Q17·MCQ·Moderate
    Open

    Bond enthalpy from atomisation

    The heats of atomisation of methane and ethane are ‘x' kJ mol−1^{-1} and ‘y' kJ mol−1^{-1} respectively. The longest wavelength (λ\lambda) of light capable of breaking the C-C bond can be expressed in SI unit as :
    1. (1)hc1000(y−6x4)−1\dfrac{hc}{1000}\left(\dfrac{y-6x}{4}\right)^{-1}
    2. (2)NAhc250(4y−6x)\dfrac{N_\mathrm{A}hc}{250(4y-6x)}
    3. (3)NAhc250(y−6x)\dfrac{N_\mathrm{A}hc}{250(y-6x)}
    4. (4)NAhc(y−6x4)−1N_\mathrm{A}hc\left(y-\dfrac{6x}{4}\right)^{-1}
    We corrected a printing error in the original paper

    Source printed “The heat of atomisation of methane and ethane are”.

  11. ChemistryJEE Main 28 Jan 2026, Shift 1·Q1·MCQ·Easy–moderate
    Open

    Isothermal reversible expansion work

    20.0 dm3^3 of an ideal gas ‘X' at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct ?

    (Given: log⁡2=0.3010\log 2 = 0.3010 and log⁡5=0.6989\log 5 = 0.6989)

    1. (1)w=−9.1w = -9.1 kJ, ΔU=0\Delta U = 0, ΔH=0\Delta H = 0, q=9.1q = 9.1 kJ
    2. (2)w=9.1w = 9.1 J, ΔU=9.1\Delta U = 9.1 J, ΔH=0\Delta H = 0; q=0q = 0
    3. (3)w=+4.1w = +4.1 kJ, ΔU=0\Delta U = 0, ΔH=0\Delta H = 0; q=−4.1q = -4.1 kJ
    4. (4)w=−3.9w = -3.9 kJ, ΔU=0\Delta U = 0, ΔH=0\Delta H = 0; q=3.9q = 3.9 kJ
  12. ChemistryJEE Main 28 Jan 2026, Shift 2·Q5·MCQ·Easy–moderate
    Open

    Log k versus 1/t plot

    The plot of log⁡10K\log_{10}K vs 1T\dfrac{1}{T} gives a straight line. The intercept and slope respectively are (where K is equilibrium constant).
    1. (1)2.303RΔH∘\dfrac{2.303R}{\Delta H^\circ}, 2.303RΔS∘\dfrac{2.303R}{\Delta S^\circ}
    2. (2)ΔS∘2.303R\dfrac{\Delta S^\circ}{2.303R}, −ΔH∘2.303R-\dfrac{\Delta H^\circ}{2.303R}
    3. (3)−ΔS∘R2.303-\dfrac{\Delta S^\circ R}{2.303}, ΔH∘R2.303\dfrac{\Delta H^\circ R}{2.303}
    4. (4)−ΔH∘2.303R-\dfrac{\Delta H^\circ}{2.303R}, ΔS∘2.303R\dfrac{\Delta S^\circ}{2.303R}
  13. ChemistryJEE Main 2 Apr 2026, Shift 1·Q4·MCQ·Moderate
    Open

    Hess law enthalpy of formation

    Consider the following data

    (i) 2 Al(s)+6 HCl(aq)→AlX2ClX6(aq)+3 HX2(g)\ce{2Al(s) + 6HCl(aq) -> Al2Cl6(aq) + 3H2(g)} + 1200 kJ/mol.

    (ii) HX2(g)+ClX2(g)→2 HCl(g)\ce{H2(g) + Cl2(g) -> 2HCl(g)} + 164 kJ/mol.

    (iii) HCl(g)+aq→HCl(aq)\ce{HCl(g) + aq -> HCl(aq)} + 83 kJ/mol.

    (iv) AlX2ClX6(s)+aq→AlX2ClX6(aq)\ce{Al2Cl6(s) + aq -> Al2Cl6(aq)} + 663 kJ/mol.

    The enthalpy of formation of anhydrous solid AlX2ClX6\ce{Al2Cl6} is :

    1. (1)−648-648 kJ mol−1^{-1}
    2. (2)−1350-1350 kJ mol−1^{-1}
    3. (3)−2002-2002 kJ mol−1^{-1}
    4. (4)−1527-1527 kJ mol−1^{-1}
  14. ChemistryJEE Main 2 Apr 2026, Shift 1·Q25·Numerical·Easy–moderate
    Open

    Gibbs energy transition temperature

    At the transition temperature T, A⇌B\ce{A <=> B} and ΔG0=105−35log⁡T\Delta G^0 = 105 - 35\log T where A and B are two states of substance X. The transition temperature in ∘^\circC when pressure is 1 atm is . (Nearest integer)
  15. ChemistryJEE Main 2 Apr 2026, Shift 2·Q4·MCQ·Easy–moderate
    Open

    First law in cyclic process

    Gas ‘A' undergoes change from state ‘X' to state ‘Y'. In this process, the heat absorbed and work done by the gas are 10 J and 18 J respectively. Now gas is brought back to state ‘X' by another process during which 6 J of heat is evolved. In the reverse process of ‘Y' to ‘X',
    1. (1)18 J of the work is done by the gas ‘A'.
    2. (2)2 J of the work is done by the gas ‘A'.
    3. (3)12 J of the work is done on the gas ‘A' by the surrounding.
    4. (4)14 J of the work is done on the gas ‘A' by the surrounding.
    We corrected a printing error in the original paper

    Source printed “the heat absorbed and work done by the gas is 10 J and 18 J”.

  16. ChemistryJEE Main 4 Apr 2026, Shift 1·Q4·MCQ·Easy–moderate
    Open

    Heat capacity and first law

    Given below are two statements:

    Statement I : For an ideal gas, heat capacity at constant volume is always greater than the heat capacity at constant pressure.

    Statement II : In a constant volume process, no work is produced and all the heat withdrawn goes into the chaotic motion and is reflected by a temperature increase of the ideal gas.

    In the light of the above statements, choose the correct answer from the options given below

    1. (1)Both Statement I and Statement II are true
    2. (2)Both Statement I and Statement II are false
    3. (3)Statement I is true but Statement II is false
    4. (4)Statement I is false but Statement II is true
  17. ChemistryJEE Main 4 Apr 2026, Shift 2·Q21·Numerical·Moderate
    Open

    Bomb calorimetry enthalpy of formation

    If 3.365 g of ethanol (ll) is burnt completely in a bomb calorimeter at 298.15 K, the heat produced is 99.472 kJ. The ∣ΔHf∘∣\lvert\Delta H_\mathrm{f}^\circ\rvert of ethanol at 298.15 K is × 102\times\,10^{2} kJ mol−1^{-1}. (Nearest integer)

    Given :

    Standard enthalpy of combustion of graphite =−393.5= -393.5 kJ mol−1^{-1}

    Standard enthalpy of formation of water (ll) =−285.8= -285.8 kJ mol−1^{-1}

    Molar mass in g mol−1^{-1} of C, H, O are 12, 1 and 16 respectively.

    We corrected a printing error in the original paper

    Answer corrected; the source key is 282 — ΔUc=−1359.8\Delta U_\mathrm{c} = -1359.8 kJ mol−1^{-1}, ΔHc=−1362.3\Delta H_\mathrm{c} = -1362.3 kJ mol−1^{-1}, ΔfH=−282.1\Delta_\mathrm{f}H = -282.1 kJ mol−1^{-1} = −2.82×102-2.82\times10^{2}, so the blank before “× 102\times\,10^{2}” is 3; also source printed “If 3.365 g of ethanol (ll) burnt completely”.

  18. ChemistryJEE Main 4 Apr 2026, Shift 2·Q22·Numerical·Moderate
    Open

    Gibbs energy and equilibrium constant

    For the following reaction at 50∘^\circC and 2 atm pressure,

    2 NX2OX5(g)⇌2 NX2OX4(g)+OX2(g)\ce{2N2O5(g) <=> 2N2O4(g) + O2(g)}

    NX2OX5\ce{N2O5} is 50% dissociated

    The magnitude of standard free energy change at this temperature is x.

    x = J mol−1^{-1} [Nearest integer]

    Given : R=8.314R = 8.314 J mol−1^{-1} K−1^{-1}, log⁡2=0.30\log 2 = 0.30, log⁡3=0.48\log 3 = 0.48, ln⁡10=2.303\ln 10 = 2.303, ∘^\circC + 273 = K

    We corrected a printing error in the original paper

    Source printed “R = 8.314 mol−1^{-1} K−1^{-1}” (unit J missing).

  19. ChemistryJEE Main 5 Apr 2026, Shift 2·Q4·MCQ·Easy–moderate
    Open

    Gibbs energy from enthalpy entropy

    Consider the following data for the reaction

    XX2(g)+YX2(g)⇌2 XY(g)\ce{X2(g) + Y2(g) <=> 2XY(g)}

    at 600 K. The ΔrG⊖\Delta_\mathrm{r}G^\ominus (in kJ mol−1^{-1}) for the reaction is:

    Compound
    ΔfH600 K⊖\Delta_f H^\ominus_{600\,\mathrm{K}}
    (kJ mol−1^{-1})
    S600 K⊖S^\ominus_{600\,\mathrm{K}}
    (J mol−1^{-1}K−1^{-1})
    XY(g)42200
    XX2\ce{X2}(g)8140
    YX2\ce{Y2}(g)80250
    1. (1)−21000-21000
    2. (2)−10-10
    3. (3)−1000-1000
    4. (4)−9.012-9.012
  20. ChemistryJEE Main 5 Apr 2026, Shift 2·Q5·MCQ·Easy–moderate
    Open

    Molar heat capacity comparison

    The correct order of molar heat capacities measured at 298 K and 1 bar is :
    1. (1)Copper (s) >> Bromine (l) >> Helium (g)
    2. (2)Bromine (l) >> Copper (s) >> Helium (g)
    3. (3)Helium (g) >> Bromine (l) >> Copper (s)
    4. (4)Helium (g) >> Bromine (l) == Copper (s)
  21. ChemistryJEE Main 6 Apr 2026, Shift 1·Q5·MCQ·Moderate
    Open

    Work in single and multistage processes

    Arrange the following isothermal processes in order of the magnitude of the work (pp – VV) involved between states 1 and 2.
    • (A)Expansion in single stage wAw_\mathrm{A}
    • (B)Expansion in multi stages wBw_\mathrm{B}
    • (C)Compression in single stage wCw_\mathrm{C}
    • (D)Compression in multi stages wDw_\mathrm{D}
    1. (1)∣wB∣>∣wA∣>∣wC∣>∣wD∣\lvert w_\mathrm{B}\rvert > \lvert w_\mathrm{A}\rvert > \lvert w_\mathrm{C}\rvert > \lvert w_\mathrm{D}\rvert
    2. (2)∣wC∣>∣wD∣>∣wA∣>∣wB∣\lvert w_\mathrm{C}\rvert > \lvert w_\mathrm{D}\rvert > \lvert w_\mathrm{A}\rvert > \lvert w_\mathrm{B}\rvert
    3. (3)∣wC∣>∣wD∣>∣wB∣>∣wA∣\lvert w_\mathrm{C}\rvert > \lvert w_\mathrm{D}\rvert > \lvert w_\mathrm{B}\rvert > \lvert w_\mathrm{A}\rvert
    4. (4)∣wB∣>∣wA∣>∣wD∣>∣wC∣\lvert w_\mathrm{B}\rvert > \lvert w_\mathrm{A}\rvert > \lvert w_\mathrm{D}\rvert > \lvert w_\mathrm{C}\rvert
  22. ChemistryJEE Main 6 Apr 2026, Shift 1·Q25·Numerical·Moderate
    Open

    Gibbs energy and equilibrium constant

    Consider the reaction X⇌Y\ce{X <=> Y} at 300 K. If ΔHθ\Delta H^{\theta} and K are 28.40 kJ mol−1^{-1} and 1.8×10−71.8\times10^{-7} at the same temperature, then the magnitude of ΔSθ\Delta S^{\theta} for the reaction in J K−1^{-1} mol−1^{-1} is .(Nearest Integer). (Given : R=8.3R = 8.3 J K−1^{-1} mol−1^{-1}, ln⁡10=2.3\ln 10 = 2.3, log⁡3=0.48\log 3 = 0.48, log⁡2=0.30\log 2 = 0.30
  23. ChemistryJEE Main 6 Apr 2026, Shift 2·Q4·MCQ·Easy–moderate
    Open

    Isothermal process work and heat

    Match List-I with List-II

    Given V1V_1 and V2V_2 are initial and final volumes respectively:

    List-IList-II
    (Isothermal process)(Expression)
    A.Reversible expansionI.q=0q = 0
    B.Free expansionII.q=nRTln⁡V2V1q = nRT\ln\dfrac{V_2}{V_1}
    C.Irreversible CompressionIII.w=−pext(V2−V1)w = -p_\mathrm{ext}\left(V_2 - V_1\right)
    D.Cyclic reversibleIV.qrevT=0\dfrac{q_\mathrm{rev}}{T} = 0
    Choose the correct answer from the options given below :
    1. (1)A-II, B-III, C-I, D-IV
    2. (2)A-II, B-I, C-IV, D-III
    3. (3)A-II, B-I, C-III, D-IV
    4. (4)A-I, B-II, C-III, D-IV
    We corrected a printing error in the original paper

    Source printed expression III as “w=−pext(V1−V2)w = -p_\mathrm{ext}(V_1 - V_2)” (wrong sign for V1V_1 initial, V2V_2 final); corrected to the intended “w=−pext(V2−V1)w = -p_\mathrm{ext}(V_2 - V_1)”.

  24. ChemistryJEE Main 6 Apr 2026, Shift 2·Q24·Numerical·Moderate
    Open

    Gibbs energy and equilibrium constant

    In a closed flask at 600 K, one mole of XX2YX4(g)\ce{X2Y4(g)} attains equilibrium as given below:

    XX2YX4(g)⇌2 XYX2(g)\ce{X2Y4(g) <=> 2XY2(g)}

    At equilibrium, 75% XX2YX4(g)\ce{X2Y4(g)} was dissociated and the total pressure is 1 atm. The magnitude of ΔrG⊖\Delta_\mathrm{r}G^\ominus (in kJ mol−1^{-1}) at this temperature is . (Nearest Integer)

    (Given: R=8.3R = 8.3 J mol−1^{-1} K−1^{-1}; ln⁡10=2.3\ln 10 = 2.3, log⁡2=0.3\log 2 = 0.3, log⁡3=0.48\log 3 = 0.48, log⁡5=0.69\log 5 = 0.69, log⁡7=0.84\log 7 = 0.84)

  25. ChemistryJEE Main 8 Apr 2026, Shift 2·Q24·Numerical·Easy–moderate
    Open

    Enthalpy of reaction from formation

    Consider the reaction :

    2 HX2S(g)+3 OX2(g)→2 HX2O(l)+2 SOX2(g)\ce{2H2S(g) + 3O2(g) -> 2H2O($l$) + 2SO2(g)}

    The magnitude of enthalpy change for the reaction in kJ mol−1^{-1} is . (Nearest integer)

    Given : ΔfH⊖\Delta_f H^{\ominus} (HX2S\ce{H2S}) =−20.1= -20.1 kJ mol−1^{-1}

     ΔfH⊖\Delta_f H^{\ominus} (HX2O\ce{H2O}) =−286.0= -286.0 kJ mol−1^{-1}

     ΔfH⊖\Delta_f H^{\ominus} (SOX2\ce{SO2}) =−297.0= -297.0 kJ mol−1^{-1}