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Question: \(\Delta G\) is the net energy available to do useful work and is a measure of free energy. If a rea...

ΔG\Delta G is the net energy available to do useful work and is a measure of free energy. If a reaction has positive enthalpy change and positive entropy change, under what conditions will the reaction be spontaneous?

A

ΔG\Delta G will be positive at low temperature hence reaction is spontaneous at low temperature.

B

ΔG\Delta G is negative at high temperature hence reaction is spontaneous at high temperature.

C

ΔG\Delta G is negative at low temperature hence reaction is spontaneous at low temperature.

D

ΔG\Delta G is negative at all temperatures hence reaction is spontaneous at all temperatures.

Answer

ΔG\Delta G is negative at high temperature hence reaction is spontaneous at high temperature.

Explanation

Solution

: ΔG=ΔHTΔS\Delta G = \Delta H - T\Delta S

For a spontaneous reaction if ΔH\Delta His + ve and ΔS\Delta S = + ve, ΔG\Delta G will be negative when TΔS>ΔH.T\Delta S > \Delta H.