Question bank/JEE Main/Chemistry

N_2 and H_2 are taken in 1: 3 molar ratio in a closed vessel
to attained the following
equilibrium$N_{2}(g) + 3H_{2}(g) \rightleftharpoons 2{NH}_{3}(g)$. Find
K_p for reaction at total pressure of 2P if [IMAGE] at
equilibrium is $\frac{P}{3}$.

A$\frac{1}{3P^{2}}$B$\frac{4}{3P^{2}}$C$\frac{4P^{2}}{3}$

Show answer and solution▾

$N_{2}(g) + 3H_{2}(g) \rightleftharpoons 2{NH}_{3}(g)$.
At equilibrium $\frac{P}{3}$ P, [IMAGE] $K_{p} = \frac{\frac{2P}{3} \times \frac{2P}{3}}{\frac{P}{3} \times P^{3}} = \frac{1}{P^{2}} \cdot \frac{4}{3}$
$\Rightarrow$ $K_{p} = \frac{4}{3P^{2}}$

Source: Grass-G / CH-24 Chemistry Paper 31 Dec..docx