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Question

PCl5 is dissociating 50% at 250oC at a total pressure of P atm. If equilibrium constant is Kp, then which of the following relation is numerically correct?

A
KP=3P
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B
P=3KP
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C
P=2KP3
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D
KP=2P3
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Solution

The correct option is A P=3KP
PCl51xPCl3x+Cl2x
Given that x=0.5
Mole fractions of the components:
XPCl5=10.53×0.5=13,XPCl3=13,XCl2=13
Total pressure is P
KP=(PPCl3)(PCl2)(PPCl5)=(XPCl3×P)(XCl2×P)(XPCl5×P)
=13×P×13×P13×P
P=3KP

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