QuestionJuly 4, 2025

If either of the reactions is nonspontaneous but can become spontaneous , at what temperature might it become spontaneous? Round your answer to 2 significant digits. square ^circ C

If either of the reactions is nonspontaneous but can become spontaneous , at what temperature might it become spontaneous? Round your answer to 2 significant digits. square ^circ C
If either of the reactions is nonspontaneous but can become spontaneous , at what temperature might it become spontaneous? Round your
answer to 2 significant digits.
square ^circ C

Solution
4.6(187 votes)

Answer

T = \frac{\Delta H}{\Delta S} \, ^{\circ}C (rounded to 2 significant digits) Explanation 1. Identify the Gibbs Free Energy Equation A reaction becomes spontaneous when \Delta G < 0. Use the equation \Delta G = \Delta H - T\Delta S. 2. Set \Delta G to Zero for Equilibrium For spontaneity, set \Delta G = 0: 0 = \Delta H - T\Delta S. Solve for T: T = \frac{\Delta H}{\Delta S}. 3. Calculate Temperature Substitute known values of \Delta H and \Delta S into T = \frac{\Delta H}{\Delta S} to find the temperature at which the reaction becomes spontaneous.

Explanation

1. Identify the Gibbs Free Energy Equation<br /> A reaction becomes spontaneous when $\Delta G < 0$. Use the equation $\Delta G = \Delta H - T\Delta S$.<br /><br />2. Set $\Delta G$ to Zero for Equilibrium<br /> For spontaneity, set $\Delta G = 0$: $0 = \Delta H - T\Delta S$. Solve for $T$: $T = \frac{\Delta H}{\Delta S}$.<br /><br />3. Calculate Temperature<br /> Substitute known values of $\Delta H$ and $\Delta S$ into $T = \frac{\Delta H}{\Delta S}$ to find the temperature at which the reaction becomes spontaneous.
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