For the reaction, $P C I_{5} (g) ⇌ P C I_{3} (g) + C I_{2} (g)$ , $K_{p}$ and $K_{c}$ are related as $K_{p} = K_{c} (R T)$ .

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

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

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

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K_{p} = K_{c} (n R T)

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Solution

The correct option is B $K_{p} = K_{c} (R T)$
$K_{p} = K_{c} (R T)^{Δ n}$

For the reaction $P C l_{5} ⇌ P C l_{3} + C l_{2}$
$Δ n = 2 - 1 = 1$

Therefore
$K_{p} = K_{c} (R T)$

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