The ratio $\frac{K_{p}}{K_{c}}$ for the reaction $\mathrm{CO}(g)+\frac{1}{2} \mathrm{O}_{2}(g)…

The ratio $\frac{K_{p}}{K_{c}}$ for the reaction $\mathrm{CO}(g)+\frac{1}{2} \mathrm{O}_{2}(g) ightleftharpoons \mathrm{CO}_{2}(g)$ is:
  1. $\frac{1}{\sqrt{R T}}$
  2. $(R T)^{1 / 2}$
  3. RT
  4. 1

Solution

$\quad \mathrm{K}_{\mathrm{P}}=\mathrm{K}_{\mathrm{C}}(\mathrm{RT})^{\Delta \mathrm{n}_{\mathrm{g}}}$
For the reaction
$\mathrm{CO}(\mathrm{g})+\frac{1}{2} \mathrm{O}_{2}(g) \leftrightharpoons \mathrm{CO}_{2}(\mathrm{~g})$
$\Delta n_{g}=1-\left(1+\frac{1}{2}ight)=-\frac{1}{2}$
$\therefore \quad \mathrm{K}_{\mathrm{P}}=\frac{\mathrm{K}_{\mathrm{C}}}{\sqrt{\mathrm{RT}}} ; \quad \frac{\mathrm{K}_{\mathrm{P}}}{\mathrm{K}_{\mathrm{C}}}=\frac{1}{\sqrt{\mathrm{RT}}}$ /

Asked in: JEE-TOPICTESTS-CHEMISTRY

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