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Question

A container containing ammonia is allowed to decompose and the following equilibrium is established.
2NH3(g)N2(g)+3H2(g).
Then, the equilibrium constant, Kp is expressed as:
(Where pN2 = partial pressure of N2 and pNH3 is the partial pressure of NH3 )

A
Kp=33×p2N2pNH3
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B
Kp=33×pN2p3H2p2NH3
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C
Kp=33×p4N2p2NH3
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D
Kp=3(3/2)×p4N2p2NH3
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Solution

The correct option is C Kp=33×p4N2p2NH3
Given, equilibrium is,
2NH3N2+3H2
Kp=pN2.p3H2p2NH3
Where, pN2,pH2 and pNH3 are the partial pressure of N2, H2 and NH3 respectively

Since initially only NH3 is present hence, 3pN2=pH2
Kp=pN2×(3pN2)3p2NH3

=pN2×33.p3N2p2NH3 =33×p4N2p2NH3 =33×p4N2p2NH3

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