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Molar and Specific Heat Capacity

At 300 K, K...

Question

At $300 K, K_{p}$ for the gaseous reaction $N_{2} O_{4} (g) ⇌ 2 N O_{2} (g)$ is $6.7$ . Calculate $K_{c}$ for the reaction.

2.72

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0.272

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27.3

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none of these

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Solution

The correct option is B $0.272$
Gaseous Reaction :-
$N_{2} O H (g) ⇌ 2 {N O}_{2} (g), T = 300 K$
$K_{P} = 6.7$
We know that, $K_{P} = K_{C} {(R T)}^{Δ n}$
$Δ n$ is difference in no. of moles of gas between product and reactant
$Δ n = 2 - 1 = 1$
$6.7 = K_{C} (0.0821 \times 300)$
$K_{C} = \frac{6.7}{0.0821 \times 300} = 0.27 m o l / m^{3}$

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