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The ratio \(\frac{K_P}{K_C}\) for the reaction : \(\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \rightleftharpoons \mathrm{CO}_{2(\mathrm{~g})}\) is :
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\(\frac{1}{\sqrt{\mathrm{RT}}}\)
$\begin{aligned} & \mathrm{CO}(\mathrm{g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightleftharpoons \mathrm{CO}_2(\mathrm{~g}) \\ & \Delta \mathrm{n}_{\mathrm{g}}=1-\left(1+\frac{1}{2}\right)=-\frac{1}{2} \\ & \frac{\mathrm{K}_{\mathrm{p}}}{\mathrm{K}_{\mathrm{C}}}=(\mathrm{RT})^{\Delta \mathrm{n}_{\mathrm{g}}}=\frac{1}{\sqrt{\mathrm{RT}}}\end{aligned}$
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