Δ Suniv ⁰ for the following reaction, at 298 K is: N₂+3 H₂ → 2 NH₃ Δ Ssys⁰=-197 JK⁻¹, Δ Hsys⁰=-91.8 kJ · ABC26PH0573

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

$\Delta \mathrm{S}_{\text {univ }}^{0}$ for the following reaction, at 298 K is: $\mathrm{N}_{2}+3 \mathrm{H}_{2} \rightarrow 2 \mathrm{NH}_{3}$ $\Delta \mathrm{S}_{\mathrm{sys}}^{0}=-197 \mathrm{JK}^{-1}$, $\Delta \mathrm{H}_{\mathrm{sys}}^{0}=-91.8 \mathrm{kJ}$
(a)$-197\ \mathrm{J\,K^{-1}}$
(b)$0 \mathrm{J} \mathrm{K}^{-1}$
(c)$-308 \mathrm{J} \mathrm{K}^{-1}$
(d)$111 \mathrm{J} \mathrm{K}^{-1}$
Answer
Answer: D ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation
ΔS_surr = −ΔH/T = 91800/298 = +308 J K⁻¹; ΔS_univ = −197 + 308 = +111 J K⁻¹ (d).

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