Equilibrium Ques 37

37. If the equilibrium constant for

$N_2(g)+O_2(g) \rightleftharpoons 2 NO(g)$ is $K$, the equilibrium constant for

$\frac{1}{2} N_2(g)+\frac{1}{2} O_2(g) \rightleftharpoons NO(g)$ will be:

[2015 RS]

(a) $K^{\frac{1}{2}} $

(b) $\frac{1}{2} K$

(c) $K$

(d) $K^{2}$

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Answer:

Correct Answer: 37.(a)

Solution:

  1. (a) $N_2(g)+O_2(g) \rightleftharpoons 2 NO(g)$

$K=\frac{[NO]^{2}}{[N_2][O_2]}$

$ \begin{aligned} & \frac{1}{2} N_2+\frac{1}{2} O_2 \rightleftharpoons NO \\ & K^{\prime}=\frac{[NO]}{[N_2]^{1 / 2}[O_2]^{1 / 2}}=K^{1 / 2} \end{aligned} $