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Standard Gibbs energy change from the percentage dissociation at equilibrium

This type of question, asked 3 times: 25 Jun 2022, 26 Jun 2022, 6 Apr 2026 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jun 2022

    56
    The standard free energy change (ΔG∘)\left( \Delta G^{\circ} \right) for 50%50\% dissociation of N2O4N_{2}O_{4} into NO2NO_{2} at 27∘C27^{\circ}C and 1 atm pressure is −xJmol−1- xJmol^{- 1}. The value of xx is (Nearest Integer) [Given: R=8.31 J K−1 mol−1,log⁡1.33=0.1239R = 8.31\text{ }J{\text{ }K}^{- 1}{\text{ }mol}^{- 1},\log1.33 = 0.1239 ln⁡10=2.3\ln10 = 2.3 ]

  2. Question 2

    26 Jun 2022

    146
    40%40\% of HIHI undergoes decomposition to H2H_{2} and I2I_{2} at 300 K.ΔG⊖300\text{ }K.\Delta G^{\ominus} for this decompostion reaction at one atmosphere pressure is ____\_\_\_\_ Jmol−1Jmol^{- 1}. [nearest integer] (Use R=8.31 J K−1 mol−1;log⁡2=0.3010, ln⁡10=2.3, log⁡3=0.477R = 8.31\text{ }J{\text{ }K}^{- 1}{\text{ }mol}^{- 1};\log2 = 0.3010,\ \ln10 = 2.3,\ \log3 = 0.477 )

  3. Question 3

    6 Apr 2026 S2

    49
    In a closed flask at 600 K , one mole of X2Y4( g)X_{2}Y_{4}(\text{ }g) attains equilibrium as given below:
    X2Y4( g)⇌2XY2( g)X_{2}Y_{4}(\text{ }g) \rightleftharpoons 2{XY}_{2}(\text{ }g)
    At equilibrium, 75%X2Y4( g)75\% X_{2}Y_{4}(\text{ }g) was dissociated and the total pressure is 1 atm . The magnitude of ΔrG⊖\Delta_{r}G^{\ominus} (in kJmol−1kJ{mol}^{- 1} ) at this temperature is ____\_\_\_\_ . (Nearest Integer) (Given: R=8.3 J mol−1 K−1;ln⁡10=2.3R = 8.3\text{ }J{\text{ }mol}^{- 1}{\text{ }K}^{- 1};\ln10 = 2.3, log⁡2=0.3,log⁡3=0.48,log⁡5=0.69,log⁡7=0.84)\log2 = 0.3,\log3 = 0.48,\log5 = 0.69,\log7 = 0.84)