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Question

In the reversible reaction 2NH3(g)N2(g)+3H2(g) when 1 mol of NH3 is taken initially in a litre flask and 0.2 moles of N2 are formed at equilibrium. Its equilibrium constant Kc is:

A
72
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B
12×102
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C
0.3
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D
0.27
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Solution

The correct option is B 12×102
The equilibrium reaction is 2NH3(g)N2(g)+3H2(g).
The concentrations of various species are given in the following table.

NH3
N2
H2
Initial
1
0
0
change
-2x
x
3x
equilibrium
1-2x
x
3x
But [N2]=0.2=x.
Hence, the equilibrium concentrations of ammonia, nitrogen and hydrogen are 0.6M, 0.2M and 0.6M respectively.
The expression for the equilibrium constant will be Kc=[N2][H2]3[NH23]=0.2×(0.63)(0.6)2=12×102.

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