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Question

For hypothetical reversible reaction:
12A2(g)+32B2(g)AB3(g);


ΔH=20kJ if standard entropies of A2,B2 and AB3 are 60, 40 and 50 J.K1.mol1, respectively. The above reaction will be equilibrium at:

A
400 K
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B
500 K
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C
250 K
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D
200 K
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Solution

The correct option is B 500 K
For hypothetical reversible reaction,
12A2(g)+32B2(g)AB2(g)

H=20 kJ=20×103 J

rS=SoproductSoreactant

=50 JK1(12×60JK1+32×40JK1)

=50 JK190 JK1

rS=40 JK1

At equilibrium, rG=HTrS=0

20×103 JT(40 JK1)=0

T=20×103 J40 JK1

T=500 K

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