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.