`PCl_(5)(g)hArrPCl_(3)(g)+Cl_(2)(g).` If 1 mole `PCl_(5)` was put in a container of volume V litre and at equlibrium, x moles of it was decomposed, find its `K_(p) and K_(c)` at equlibrium pressure of P atm.

Explanation

To solve the problem, we need to find the equilibrium constants \( K_p \) and \( K_c \) for the reaction:

\[ \text{PCl}_5(g) \rightleftharpoons \text{PCl}_3(g) + \text{Cl}_2(g) \]

Given that 1 mole of \( \text{PCl}_5 \) is placed in a container of volume \( V \) liters and \( x \) moles of it are decomposed at equilibrium, we can follow these steps:

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