Consider the following reaction at 298 ~K. 3 2 O_ 2(~g) O_ 3(~g) … - Vidyadip

MCQ

Consider the following reaction at $298 \mathrm{~K}$.

$\frac{3}{2} \mathrm{O}_{2(\mathrm{~g})} \rightleftharpoons \mathrm{O}_{3(\mathrm{~g})} \cdot \mathrm{K}_{\mathrm{P}}=2.47 \times 10^{-29} \text {. }$

$\Delta_{\mathrm{r}} \mathrm{G}^{\ominus}$ for the reaction is_______ $kJ$. (Given R $\left.=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)$

A
$150$
B
$165$
C
$160$
✓
$163$

✓

Answer

Correct option: D.

$163$

d
$\frac{3}{2} \mathrm{O}_{2(\mathrm{~g})} \rightleftharpoons \mathrm{O}_{3(\mathrm{~g})} \cdot \mathrm{K}_{\mathrm{P}}=2.47 \times 10^{-29}$

$\Delta_{\mathrm{r}} \mathrm{G}^{\ominus}=-\mathrm{RT} \ln \mathrm{K}_{\mathrm{P}}$

$=-8.314 \times 10^{-3} \times 298 \times \ln \left(2.47 \times 10^{-29}\right)$

$=-8.314 \times 10^{-3} \times 298 \times(-65.87)$

$=163.19 \mathrm{~kJ}$

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