To determine the temperature at which the reaction becomes spontaneous, we can use the Gibbs free energy equation: ΔG = ΔH - TΔS. A reaction is spontaneous when ΔG is less than 0. Given ΔH = -220 kJ/mol and ΔS = -0.05 kJ/(mol·K), we set up the inequality: -220 kJ/mol - T(-0.05 kJ/(mol·K)) < 0. Solving for T gives T > 4400 K, meaning the reaction will be spontaneous at temperatures above 4400 K.
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