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Relation between Kp and Kc

For the synth...

Question

For the synthesis of ammonia, $K_{p}$ and $K_{c}$ are related as:

K_{p} = K_{c} (R T)^{2}

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K_{c} = K_{p} (R T)^{- 2}

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K_{c} = K_{p} (R T)^{2}

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K_{p} = K_{c}

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Solution

The correct option is C $K_{c} = K_{p} (R T)^{2}$
For this synthesis $(Δ n = 2 - 4 = - 2), K_{p} = K_{c} (R T)^{Δ n}, K_{p} = K_{c} (R T)^{- 2} H e n c e K_{c} = K_{p} (R T)^{2}$

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