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Effective Equilibrium Constant

For the react...

Question

For the reaction, $N_{2} (g) + O_{2} (g) ⇋ 2 N O (g)$ , the value of $K_{c}$ at $300^{\circ} C$ is $0.1$ . When the equilibrium concentrations of both the reactants is $0.5 mol$ , what is the value of $K_{p}$ at the same temperature?

0.5

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0.025

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Solution

The correct option is B $0.1$
We know that $K_{p} = K_{c} \times (R T)^{Δ n_{g}}$
$N_{2} (g) + O_{2} (g) ⇋ 2 N O (g)$
Here $Δ n_{g} = 0$
$∴ K_{p} = K_{c} \times (R T)^{0} \Rightarrow K_{p} = K_{c} = 0.1$

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