Q22 / 90 · JEE Main 2024 (09 Apr Shift 2) · Chemistry

When \(\Delta \mathrm{H}_{\mathrm{vap}}=30 \mathrm{~kJ} / \mathrm{mol}\) and \(\Delta \mathrm{S}_{\mathrm{vap}}=75 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\), then the temperature of vapour, at one atmosphere is ______ \(\mathrm{K}\).

Correct answer: 400

Solution

At equilibrium $\Delta \mathrm{G}_{\mathrm{PT}}=0$ $\begin{aligned} & \Delta \mathrm{H}_{\text {vap }}=\mathrm{T} \Delta \mathrm{S}_{\text {vap }} \\ & 30 \times 1000=\mathrm{T} \times 75 \\ & \mathrm{~T}=400 \mathrm{~K} \end{aligned}$

Hence, the correct answer is 400.

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