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In the dissociation of PCl5 as PCl5(g) ⇌ PCl3(g) + Cl2(g) if the degree of dissociation is α at equilibrium pressure P, then the equilibrium constant for the reaction is

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In the dissociation of PCl5 as

PCl5(g) ⇌ PCl3(g) + Cl2(g)

if the degree of dissociation is α at equilibrium pressure P, then the equilibrium constant for the reaction is

(a) Kp = \(\frac{α^2}{1 + α^2P}\)

(b) Kp = \(\frac{α^2P^2}{1 - α^2}\)

(c) Kp = \(\frac{P^2}{1 - α^2}\)

(d) Kp = \(\frac{α^2P}{1 - α^2}\)

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Correct answer: (d) Kp = \(\frac{α^2P}{1 - α^2}\)

Explanation:

           PCl5(g) ⇌ PCl3(g) + Cl2(g)

Initial  1               0            0

At. eqn. 1-α        α              α

Partial pressure \(\frac{1-α}{1+α}.P\) \(\frac{α}{1+α}.P\) \(\frac{α}{1+α}.P\)

Total mole = 1 - α + α + α = 1 + α

K= \(\frac{\frac{α}{1+α}.P. \frac{α}{1+α}.P}{\frac{1-α}{1+α}.P}\)

= \(\frac{α^2P}{1 - α^2}\)

This post was modified 3 years ago by Mayank1444
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