Let us consider a reversible reaction at temperature . In this reaction, both and were observed to have positive values. If the equilibrium temperature is , then the reaction becomes spontaneous at:

Question

Let us consider a reversible reaction at temperature . In this reaction, both  and  were observed to have positive values. If the equilibrium temperature is , then the reaction becomes spontaneous at:

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Strategy:
 For a process where both  and  are positive, spontaneity is temperature-dependent. The reaction becomes spontaneous () when the entropy term () outweighs the enthalpy term ().

Step 1: Analyze the inequality

.
Since  is the equilibrium temperature (), .
Thus, the reaction is spontaneous only when .

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