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Question

1 mole of PCl5 is heated with 0.2 mole of chlorine in a one litre vessel till equilibrium is established.At equilibrium if 0.8 mole of chlorine is present in the vessel, the equilibrium constant for the dissociation of PCl5 is:

A
0.9
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B
1.8
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C
1.2
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D
0.5
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Solution

The correct option is C 1.2
The equilibrium reaction is PCl5(g)PCl3(g)+Cl2(g).
The following table lists the equilibrium concentration of various species.

PCl5
PCl3 Cl2
Initial
1
0
0.2
Change
-x
x
x
Equilibrium
1-x
x
0.2+x
But at equilibrium [Cl2]=0.2+x=0.8 or x=0.6.
Thus the equilibrium concentrations of PCl5,PCl3 and Cl2 are 0.4, 0.6 and 0.8 respectively.
The expression for the equilibrium constant is Kc=[PCl3][Cl2][PCl5]=0.6×0.20.4=1.2.

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