For the reaction X₂ O₄() → 2 XO₂(g) at 298 K, given the values, Δ U=9 kJ and Δ S=84 JK⁻¹, Δ G is · ABC26PH0594

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

For the reaction $\mathrm{X}_{2} \mathrm{O}_{4}(\ell) \rightarrow 2 \mathrm{XO}_{2}(\mathrm{g})$ at 298 K , given the values, $\Delta \mathrm{U}=9 \mathrm{kJ}$ and $\Delta \mathrm{S}=84 \mathrm{JK}^{-1}, \Delta \mathrm{G}$ is
(a)-11.08 kJ
(b)+11.08 kJ
(c)-13.55 kJ
(d)+13.55 kJ
Answer
Answer: A ✓ checked by 4AB · confidence high

The source book printed C; on checking, A is correct — see the explanation.

Two models agree after a crop recheck; owner approved 11 Nov 2026.

Explanation
Δn_g = 2, so ΔH = ΔU + Δn_g·RT = 9 + 2 × 8.314 × 298/1000 = 13.955 kJ. ΔG = ΔH − TΔS = 13.955 − 298 × 0.084 = −11.08 kJ (a).

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