Question

$log\frac{K_p}{K_c}+logRT=0$ is true relationship for which of the following reaction(s)?

• A. $PC{l}_5\rightleftharpoons PC{l}_3+C{l}_2$
• B. $2S{O}_2+O_2\rightleftharpoons 2S{O}_3$
• C. $N_2+3H_2\rightleftharpoons 2N{H}_3$
• D. Both $\left(B\right)$ and $\left(C\right)$

Answer 1

The correct option is B $2S{O}_2+O_2\rightleftharpoons 2S{O}_3$

We have :-

$K_P=K_C{\left(RT\right)}^{△n}$

$\Rightarrow log{K}_P=log{K}_C+△nlogRT$

$\Rightarrow log{K}_P-log{K}_C=△nlogRT$

$\Rightarrow log\left(\frac{K_P}{K_C}\right)-△nlogRT=0$

if $△n=-1\Rightarrow log\frac{K_P}{K_C}+logRT=0\to \left(I\right)$

For the reaction, $2{SO}_3+O_2\rightleftharpoons 2{SO}_3$

$△n=-1$, so the reaction $\left(I\right)$ is valid.