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Question: Phosphorus pentachloride dissociates as follows in a closed reaction vessel. PCl5(g) <img src="http...

Phosphorus pentachloride dissociates as follows in a closed reaction vessel.

PCl5(g) PCl3(g) + Cl2(g)

If total pressure at equilibrium of the reaction mixture is P and degree of dissociation of PCl5 is x, the partial pressure of PCl3 will be :

A

(xx+1)P\left( \frac{x}{x + 1} \right)P

B

(2x1x)P\left( \frac{2x}{1 - x} \right)P

C

(xx+1)P\left( \frac{x}{x + 1} \right)P

D

(x1x)P\left( \frac{x}{1 - x} \right)P

Answer

(xx+1)P\left( \frac{x}{x + 1} \right)P

Explanation

Solution

Given : PCI5(g) PCI3(g) + CI2(g)

t = 0 1 0 0

teq 1–x x x

Total number of moles = 1 – x + x + x = 1 + x

Thus partial pressure ofPCl3=(x1+x)P.PCl_{3} = \left( \frac{x}{1 + x} \right)P.