Question

The ratio of $\frac{K_p}{K_c}$ for reaction : $CO\left(g\right)+\frac{1}{2}{O}_2\left(g\right)\rightleftharpoons C{O}_2\left(g\right)$ is :

• A. $\frac{R}{T}$
• B. RT
• C. ${\left(RT\right)}^{\frac{1}{2}}$
• D. ${\left(RT\right)}^{\frac{-1}{2}}$

Answer 1

Answer: (D)

${\left(RT\right)}^{\frac{-1}{2}}$

Solution:- (D) ${\left(RT\right)}^{-\frac{1}{2}}$

${CO}_{\left(g\right)}+\frac{1}{2}{O_2}_{\left(g\right)}\rightleftharpoons {C{O}_2}_{\left(g\right)}$

$\Delta n_g=n_P-n_R=1-(1+\frac{1}{2})=-\frac{1}{2}$

$K_p=K_c{\left(RT\right)}^{\Delta n_g}$

$\Rightarrow \frac{K_p}{K_c}={\left(RT\right)}^{-\frac{1}{2}}$