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Question

The degree of dissociation of PCl5(g) obeying the equilibrium, PCl5PCl3+Cl2, is approximately related to the pressure at equilibrium by:

A
αP
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B
α1P
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C
α1P2
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D
α1P4
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Solution

The correct option is A αP
PCl5PCl3+Cl2
Initial 1 0 0
equilibrium 1x x x
Total number of moles at equilibrium =1x+x+x=1+x
We know that partial pressure is the product of mole fraction and the total pressure. Therefore
PPCl5=(1x)P(1+x)
PPCl3=xP1+x
PPCl2=xP1+x
We know that
KP=PPCl3.PCl2PPCl5
KP=x2P2(1+x)2(1+x)(1+x).1P
KP=x2P1x2 when X<<1
KP=x2P
This equation can be used to predict the influence of pressure on this equilibrium.

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