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Question

# PCl3⇌PCl3+Cl2 in the reversible reaction the moles of PCl3 and Cl2 are a, b and c respectively and total pressure is P, then value of Kp is:

A
bca.RT
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B
aa+b+c . P
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C
bc.Pa(a+b+c)
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D
c(a+b+c).P
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Solution

## The correct option is C bc.Pa(a+b+c)GivenMoles of PCl5=aMoles of PCl3=bMoles of Cl2=cTotal pressure =PSolutionPCl5=PCl3+Cl2Kp=p(PCl3)∗p(Cl2)p(PCl5)Total no. of moles = a+ b+ cp(PCl5)=aa+b+c∗Pp(PCl3)=ba+b+c∗Pp(Cl2)=ca+b+c∗PPutting valuesKsp=[ba+b+c]∗[ca+b+c]aa+b+c∗PKsp=bca(a+b+c)∗PThe correct option is C

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