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Question

For the synthesis of ammonia at 300 K :
N2(g)+3H2(g)2NH3(g)
Calculate the value of ΔG0 ?


N2
H2
NH3
ΔH0_{f}(Kcal/mole)$
0
0
-10
S0(Cal/Kmole)
40
30
45

A
-8 Kcal
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B
-12 Kcal
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C
-16 Kcal
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D
-20 Kcal
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Solution

The correct option is A -8 Kcal
ΔH0R=2×ΔH0f(NH3)3×ΔH0f(H2)ΔH0f(N2)=20Kcal
ΔS0R=2×S0(NH3)3×S0(H2)S0(N2)
=2×453×3040=40Cal/k
ΔG0=ΔH0TΔS0
=20300×(40)1000=20+12=8Kcal

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