Prove for ; where is degree of dissociation at temperature when equilibrium constant is .

CHEMISTRY · Subjective · A Level · Chemistry · Gaseous equilibria (Kp) · Gaseous equilibria (Kp)

Problem

Prove

\alpha = \sqrt{\frac{K_P}{P + K_P}}

for

PCl_5 \rightleftharpoons PCl_3 + Cl_2

; where

\alpha

is degree of dissociation at temperature when equilibrium constant is

K_P