If the equilibrium constant for N 2 g + O 2 ( g ) ⇌ 2 N O ( g ) is K, the equilibrium constant for 1 2 N 2 g…

If the equilibrium constant for N2g+O2(g)⇌2NO(g) is K, the equilibrium constant for 12N2g+12O2(g)⇌NO(g) will be:
  1. K12
  2. 12K
  3. K
  4. K2

Solution

$\begin{aligned} & N_{2}(g)+O_{2}(g) \rightleftharpoons 2 NO(g) ; K \\ & \frac{1}{2} N_{2}(g)+\frac{1}{2} O_{2}(g) \rightleftharpoons NO(g) ; K' \\ & K=\frac{[NO]^2}{[N_{2}][O_{2}]} \\ & K'=\frac{NO}{[N_{2}]^{1 / 2}[O_{2}]^{1 / 2}} \\ & \therefore K'=\sqrt{K} \end{aligned}$

Asked in: NEET 2015 (Phase 2)

Practice more Chemical Equilibrium questions on Aicharya