Question

The equilibrium constants $\left(K_c\right)$ of two reactions $H_2+I_2\rightleftharpoons 2HI$ and $N_2+3H_2\rightleftharpoons 2N{H}_3$ are $50$ and $1000$, respectively. The equilibrium constant of the reaction $N_2+6HI\rightleftharpoons 2N{H}_3+3I_2$ is closest to:

• A. $50000$
• B. $20$
• C. $0.008$
• D. $0.005$

Answer 1

Answer: (C)

$0.008$

Equilibrium constant of the final reaction will be given as:

$K_3=\frac{K_2}{K_1^3}=\frac{1000}{{50}^3}=\frac{1}{125}=0.008$

Hence option $C$ is correct.