ABC26PH0833 · Thermodynamics and Thermochemistry

Subject: Physical Chemistry · Chapter: Thermodynamics and Thermochemistry · Topic: Thermodynamics & Thermochemistry – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Easy

8(a) A container is partitioned into two compartments, one of which contains 2 moles of He while the other contains 3 moles of Ar. The gases are ideal. The temperature is 300 K and the pressure is 1 bar: $\mathrm{R}=0.083 \mathrm{L}$ bar $\mathrm{mol}^{-1} \mathrm{K}^{-1}, \ln (2 / 5)=-0.92, \ln (3 / 5)=-0.51$ (i) If the partition between the two compartments is removed and the gases are allowed to mix, then what is the Gibbs free energy of the mixture? (ii) What is the change in enthalpy in this process? (b) Obtain (i) the molar heat of formation of $\mathrm{CH}_{4}(\mathrm{g})$ and (ii) the average C-H bond energy, to the nearest kilojoule (kJ), from the given data:
$\Delta \mathrm{G}\left(\mathrm{kJ} \mathrm{mol}^{-1}\right)$
(1) $\mathrm{CH}_{4}(\mathrm{g}) \rightarrow \mathrm{CH}_{3}(\mathrm{g})+\mathrm{H}(\mathrm{g})$435
(2) $\mathrm{CH}_{3}(\mathrm{g}) \rightarrow \mathrm{CH}_{2}(\mathrm{g})+\mathrm{H}(\mathrm{g})$444
(3) $\mathrm{CH}_{2}(\mathrm{g}) \rightarrow \mathrm{CH}(\mathrm{g})+\mathrm{H}(\mathrm{g})$444
(4) $\mathrm{CH}(\mathrm{g}) \rightarrow \mathrm{C}(\mathrm{g})+\mathrm{H}(\mathrm{g})$339
(5) $\mathrm{C(graphite) \rightarrow C(g)}$717
(6) $\mathrm{H}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{H}(\mathrm{g})$436
Answer
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Explanation
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