Chemical EquilibriumHard

Question

The equilibrium constant for the reaction N2(g) + O2(g) $\rightleftharpoons$ 2NO(g) is K1 and the equilibrium constant for the reaction NO(g) $\rightleftharpoons$ ½ N2 (g) + ½ O2(g) is K2 both at the same temperature. The value of K1 and K2 are related as (a) $K_{1} = \left( \frac{1}{K_{2}} \right)^{2}$ (b) $K_{1} = K_{2}^{2}$ (c) $K_{2} = \left( \frac{1}{K_{1}} \right)^{2}$ (d) $K_{2} = K_{1}^{2}$

Options

A.$K_{1} = \left( \frac{1}{K_{2}} \right)^{2}$
B.$K_{1} = K_{2}^{2}$
C.$K_{2} = \left( \frac{1}{K_{1}} \right)^{2}$
D.$K_{2} = K_{1}^{2}$

Solution

$K_{2} = \left( K_{1} \right)^{- 1/2} = \frac{1}{\sqrt{K_{1}}} \Rightarrow K_{1}.K_{2}^{2} = 1$

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