Question

$log\frac{K_p}{K_c}+logRT=0$ is a relationship for the reaction:

• A. $P{Cl}_5\rightleftharpoons P{Cl}_3+{Cl}_2$
• B. $2S{O}_2+O_2\rightleftharpoons 2S{O}_2$
• C. $H_2+I_2\rightleftharpoons 2HI$
• D. $N_2+3H_2\rightleftharpoons 2N{H}_3$

Answer 1

Answer: (B)

$2S{O}_2+O_2\rightleftharpoons 2S{O}_2$

Given that

$\log \frac{k_p}{k_c}+\log RT=0$ _______ (1)

We know that

$k_p=k_c(RT{)}^{\Delta n}$

$\frac{k_p}{k_c}=(RT{)}^{\Delta n}$_______ (ii)

In case of $2S{O}_2+O_2\rightleftharpoons 2S{O}_2$

$\Delta n=-1$

Put this value in (i) we get

$\frac{k_p}{k_c}=(RT{)}^{-1}$ _______(iii)

put the value of $k_p/k_c$ in (1) we get

$\log \frac{1}{RT}+\log RT=0$ $\log mn=\log mn+\log n$

L.H.S $\log \frac{RT}{RT}$

$={\log }_1$

$=0_1$