Question

The ratio of $K_p/K_c$ 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. $(RT{)}^{1/2}$
• D. $(RT{)}^{-1/2}$

Answer 1

Answer: (D)

$(RT{)}^{-1/2}$

$K_p=K_C(RT{)}^{\Delta n}$

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

$\Delta n=n_p-n_r$

$\Delta n=1-(1+\frac{1}{2})=-\frac{1}{2}$

So, $\frac{K_p}{K_C}=(RT{)}^{\frac{-1}{2}}$

$⟹K_p=(RT{)}^{\frac{-1}{2}}{K}_C$