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For the reaction CO(g) + 1/2O2(g) → CO2(g), ΔH and ΔS are -283 kJ and -87 JK^-1, respectively. It was intended to carry out this reaction at 1000, 1500, 3000 and 3500 K.

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For the reaction

CO(g) + \frac{1}{2}O2(g) → CO2(g), ΔH and ΔS

are -283 kJ and -87 JK-1, 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

(b) 3000 and 3500 K

(c) 1000, 1500 and 3000 K

(d) 1500, 3000 and 3500 K

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Correct answer: (c) 1000, 1500 and 3000 K

Explanation:

∵ ΔG = ΔH - T x ΔS

For a spontaneous reaction, DG should be negative

ΔH = – 238 kJ, ΔS = -87 JK-1

Hence, reaction will be spontaneous when ΔH >T × ΔS.

Therefore, at 1000, 1500 and 3000 K the reaction would be spontaneous.

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