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The values of ΔH and ΔS for the reaction, C(graphite) + CO₂(g) → 2CO(g) are 170 kJ and 170 J K⁻¹, respectively. This reaction will be spontaneous at:

1. 910 K
2. 1110 K
3. 510 K
4. 710 K

Correct answer: 1110 K

Solution

For a reaction to be spontaneous, ΔG = ΔH - TΔS < 0. Substituting the given values, ΔH = 170 kJ = 170,000 J and ΔS = 170 J/K, we solve for T: 170,000 - T(170) < 0 → T > 1000 K. Among the options, 1110 K satisfies this condition.

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