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Question

For the reaction CO(g)+12O2(g)CO2(g),ΔH and ΔS are 283 kJ and 87 J K1 mol1 respectively. It was intended to carry out this reaction at 1000,1500,3000 and 3500 K. At which of these temperatures would this reaction be thermodynamically spontaneous?

A
1500 and 3500 K
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B
3000 and 3500 K
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C
1000, 1500 and 3000 K
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D
1500, 3000 and 3500 K
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Solution

The correct option is C 1000, 1500 and 3000 K
By using the equation,
ΔG=ΔHTΔSAt 1000K, ΔG=283(1000×0.087)=196 kJ (spontaneous)At 1500 K, ΔG=283(1500×0.087)=152.5 kJ (spontaneous)At 3000 K , ΔG=283(3000×0.0987)=22 kJ (spontaneous)At 3500 K, ΔG=283(3500×0.087)=+21.5 kJ (Non-spontaneous)

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