For a chemical reaction , the entropy change depends on the temperature (in K) as . Minimum temperature at which it will become spontaneous is K. (Integer)

Question

For a chemical reaction  , the entropy change  depends on the temperature  (in K) as . Minimum temperature at which it will become spontaneous is  K. (Integer)

Canvas Classes · Accepted Answer

Strategy:
 Spontaneity occurs when . Substitute the temperature-dependent entropy expression into the Gibbs energy equation to find the threshold temperature.

Step 1: Set up the inequality

Step 2: Solve for

.
The reaction becomes spontaneous at temperatures above .

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