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Question

4.0 moles of PCl5 dissociate at 760K in a 2 litre flask, PCl5(g)PCl3(g)+Cl2(g) at equilibrium 0.8 mole of Cl2 was present in the flask. The equilibrium constant would be:

A
1.0×101
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B
1.0×104
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C
1.0×102
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D
1.0×103
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Solution

The correct option is A 1.0×101

Given,

No. of moles of PCl5=4mol

Volume of the flask=2litre

No. of moles of Cl2 left in the flask=0.8mol

Dissociation of PCl5 can be given as

PCl5PCl3+Cl2

At t=0 4mol 0 0

At equilibrium (40.8)mol 0.8mol 0.8mol

To find equilibrium constantKc=[PCl3]×[Cl2][PCl5], we have to find the concentration of every component.

Concentration of the component = moles of the component/volume

Concentration of PCl5=40.8moles2=1.6mol/L

Concentration of PCl3=0.8moles2=0.4mol/L

Concentration of Cl2=0.8moles2=0.4mol/L

Substituting these values in the formula for equilibrium constant we get,

Kc=[PCl3]×[Cl2][PCl5]

Kc=0.4×0.41.6=0.1

Since, 0.1 can also be written as 1.0×101 , therefore option A is correct.


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