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Question

For a reaction, 2K(g)+L(g)2M(g);ΔU0 = -10.5 kJ and ΔS0 = -44.1 J K1. Calculate ΔG0 for the reaction and predict whether the reaction will be spontaneous or non-spontaneous.

A
ΔG = + 0.16 kJ, non-spontaneous
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B
ΔG = - 0.16 kJ, spontaneous
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C
ΔG = + 26.12 kJ, non-spontaneous
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D
ΔG = - 26.12 kJ, spontaneous
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Solution

The correct option is A ΔG = + 0.16 kJ, non-spontaneous
2K+L2M
Δng = 2-3 = -1
ΔH=ΔU+ΔngRT=10.5×103+(1×8.314×298)=12.98kJ
ΔG0=ΔH0TΔS0=12.98298(44.1×103)=0.16kJ
Since ΔG0 is +ve, hence it is non-spontaneous.

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