The spontaneity of a reaction depends both on the enthalpy change, ΔHΔHDelta H, and entropy change, ΔSΔSDelta S. Reactions that release energy produce more stable products, and the universe tends toward disorder. Thus, an exothermic reaction with a positive entropy change will always be spontaneous. Mathematically, this relationship can be represented as ΔG=ΔH−TΔSΔG=ΔH−TΔS where ΔGΔGDelta G is the change in Gibbs free energy and is the Kelvin temperature. If ΔGΔGDelta G is negative, then the reaction is spontaneous. If ΔGΔGDelta G is positive, then the reaction is nonspontaneous as written but spontaneous in the reverse direction. If ΔHΔHDH = -50.0 kJkJ and ΔSΔSDS = -0.300 kJ/KkJ/K , the reaction is spontaneous below a certain temperature. Calculate that temperature. Express your answer numerically in kelvins.

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The spontaneity of a reaction depends both on the enthalpy change, ΔHΔHDelta H, and entropy change, ΔSΔSDelta S. Reactions that release energy produce more stable products, and the universe tends toward disorder. Thus, an exothermic reaction with a positive entropy change will always be spontaneous. Mathematically, this relationship can be represented as

ΔG=ΔH−TΔSΔG=ΔH−TΔS

where ΔGΔGDelta G is the change in Gibbs free energy and is the Kelvin temperature. If ΔGΔGDelta G is negative, then the reaction is spontaneous. If ΔGΔGDelta G is positive, then the reaction is nonspontaneous as written but spontaneous in the reverse direction.

If ΔHΔHDH = -50.0 kJkJ and ΔSΔSDS = -0.300 kJ/KkJ/K , the reaction is spontaneous below a certain temperature. Calculate that temperature.
Express your answer numerically in kelvins.
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