$K_P / K_C$ for the reaction at $\mathrm{T}(\mathrm{K})$ is $\mathrm{CO}(\mathrm{g})+\frac{1}{2}…
$K_P / K_C$ for the reaction at $\mathrm{T}(\mathrm{K})$ is
$\mathrm{CO}(\mathrm{g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightleftharpoons \mathrm{CO}_2(\mathrm{~g})$
$\sqrt{R T}$
2RT
RT
$1 / \sqrt{\mathrm{RT}}$
Solution
$\mathrm{K}_{\mathrm{p}}=\mathrm{K}_{\mathrm{c}}(\mathrm{RT})^{\Delta \mathrm{n}}$
$[\Delta \mathrm{n}=$ Change in the no. gaseous molecules from reactant to product.]
In this equation, $\Delta \mathrm{n}=\left(1-1-\frac{1}{2}\right)=-\frac{1}{2}$
$\therefore \frac{\mathrm{K}_{\mathrm{p}}}{\mathrm{K}_{\mathrm{c}}}=(\mathrm{RT})^{-1 / 2}=\frac{1}{\sqrt{\mathrm{RT}}}$