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Question

One mole of PCl5(g) dissociates and attains equilibrium after t seconds at 27C:
PCl5(g)PCl3(g)+Cl2(g)
At equillibrium, the vapour density is found to be 100 and the volume of the system is 10.425 L at 27C.
The total pressure of the system at equilibrium will be atm.
R=0.082 Latmmol1K1

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Solution

PCl5(g)PCl3(g)+Cl2(g)
Intial 1 mole
At eq (1α) α α
α=Dd1
where D is the molar vapour density of PCl5=104.25
and d is the vapour density after dissociation=100
So, α=0.0425
Total number of moles at equilibrium (n)
=1+α=1+0.0425=1.0425
PV=nRT
P=1.0425×0.082×30010.425=2.46 atm

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