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Relation between Kp and Kc

For N 2 g +3 ...

Question

For $N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g) + h e a t$

A

K_P = K_C(RT)²

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B

K_P = K_C(RT)

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C

K_P = K_C(RT)^-2

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D

K_P = K_C(RT)^-1

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Solution

The correct option is C
K_P = K_C(RT)^-2

For the reaction, $△ n$ = $2 - (1 + 3)$ = $- 2$ , hence the correct relation would be $K_{P} = K_{C} (R T)^{- 2}$

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