Question

$K_p$ and $K_p'$ are the equilibrium constants of the two reactions, given below
$ \frac{1}{2}N_2 (g) + \frac{1}{2}H_2 (g) \rightleftharpoons NH_3 (g) $
$ N_2 (g) + 3H_2 (g) \rightleftharpoons 2NH_3 (g) $
Therefore, $K_p$ and $K_p'$ are related by

• A. $(K_p')^2$
• B. $K_p = \sqrt{K_p'}$
• C. $K_p = 2K_p'$
• D. $K_p = K_p'$

Answer 1

Answer: (B)

When a balanced equation having equilibrium constant $K_p$ is multiplied by a certain value n, the equilibrium constant for the new equation will be equal to $(K_p)^n$. In the given equation, n = 2 .So, $K_p'=(K_p)^2$ or $K_p=\sqrt {K_p'}$