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The equilibrium constant for the followi...

The equilibrium constant for the following reactions are `K_(1)` and `K_(2)`, respectively ,
`2P(g)+3Cl_(2)(g)hArr2PCl_(3)(g)`
`PCl_(3)(g)+Cl_(2)(g)hArrPCl_(5)(g)`
Then the equilibrium constant for the reaction
`2P(g)+5Cl_(2)(g)hArr2PCl_(5)(g)` is -

A

`K_(1)K_(2)`

B

`K_(1)K_(2)^(2)`

C

`K_(1)K_(2)^(2)`

D

`K_(1)^(2)K_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`2P(g)+3Cl_(2)(g)hArr2PCl_(3)(g)" "K_(1)`
`2PCl_(3)(g)+2Cl_(2)(g)hArr2PCl_(5)(g)" "K_(2)^(2)`
Net reaction : `2(P)(g)+5Cl_(2)(g)hArr2PCl_(5)(g)" "K=K_(1)K_(2)^(2)`
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