For a reaction, 2K(g)+L(g)→2M(g);ΔU0 = -10.5 kJ and ΔS0 = -44.1 J K−1. 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 AΔG = + 0.16 kJ, non-spontaneous 2K+L→2M Δng = 2-3 = -1 ΔH=ΔU+ΔngRT=−10.5×103+(−1×8.314×298)=−12.98kJ ΔG0=ΔH0−TΔS0=−12.98−298(−44.1×10−3)=0.16kJ Since ΔG0 is +ve, hence it is non-spontaneous.