Question

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

• A. $1$
• B. $RT$
• C. $(RT{)}^{1/2}$
• D. $(RT{)}^{-1/2}$

Answer 1

The correct option is D $(RT{)}^{-1/2}$

We know that
$K_p=K_c(RT{)}^{△n}$
$CO\left(g\right)+\frac{1}{2}\left(O_2\right)\left(g\right)\to C{O}_2\left(g\right)$
$△n=n_p-n_r$
$△n=1-(1+\frac{1}{2})=-\frac{1}{2}$
So, $\frac{K_p}{K_c}=(RT{)}^{-1/2}$