Question

Ammonium nitrate dissolves spontaneously and endothermally in water at room temperature. What can you deduce about the sign of

ΔS\Delta S

for this solution process?

Solution

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If ammonium nitrate dissolves spontaneously in water, ΔG=ΔHTΔS\Delta G = \Delta H - T \Delta S. If ΔG\Delta G is negative and ΔH\Delta H is positive, the sign of ΔS\Delta S must be positive. Furthermore, TΔS>ΔHT \Delta S > \Delta H at room temperature.

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