Determine the spontaneity of the dissociation of ammonium nitrate (NH4NO2), the compound used in
cold packs:
NH4NO3(s) NH4+(aq) + NO3−(aq)
ΔΗ° = 25.7 kJ/mol; AS = 0.108 kJ/K•mol
a. Calculate the AG for the reaction at 25°C.
b. Does the reaction lead to an increase or decrease in the disorder of the system?
c. Is the reaction spontaneous or nonspontaneous at 25°C?
a. ∆G = ∆H - T∆S = 25.7 kJ/mol - (25+273.15 K) × 0.108 kJ/ K mol = -6.5 kJ
b. Reaction leads to an increase in the disorder of the system, because in dissociation reaction one molecule produces a several new molecules.
c. At 25°C ∆G = -6.5 kJ < 0 - reaction spontaneous
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