Question: Kp for the following reaction is 3.0 at 1000 K.

CO2( g)+C(s)2CO(g)

What will be the value of Kc for the reaction at the same temperature?

(Given : R=0.083 L bar K 1 mol1 )

A) 3.6

B) 0.36

C) 3.6×102

D) 3.6×103

Answer: 3.6×102

Solution:

$\begin{aligned} & \mathrm{CO}2(\mathrm{~g})+\mathrm{C}(\mathrm{s}) \rightleftharpoons 2 \mathrm{CO}(\mathrm{g}) \ & \Delta \mathrm{n}{\mathrm{g}}=2-1=1 \ & \mathrm{~K}{\mathrm{p}}=\mathrm{K}{\mathrm{c}}(\mathrm{RT})^{\Delta \mathrm{n}{\mathrm{g}}} \ & \mathrm{K}{\mathrm{p}}=\mathrm{K}{\mathrm{c}}(\mathrm{RT}) \ & {\left[\because \mathrm{K}{\mathrm{p}}=3\right]} \ & \mathrm{K}{\mathrm{c}}=\frac{\mathrm{K}{\mathrm{p}}}{\mathrm{RT}}=\frac{3}{0.083 \times 1000} \ & =0.036 \ & =3.6 \times 10^{-2}\end{aligned}$