A) \[\Delta T+T\Delta S\] must be negative
B) \[\Delta H-T\Delta S\] must be negative
C) \[\Delta S\] must be negative
D) \[\Delta H\] must be negative
Correct Answer: B
Solution :
Gibbs free energy G, is defined as\[G=H-TS\]where H is the enthalpy, T is the temperature in kelvin, S is the entropy. Change in free energy \[(\Delta G)\] is given by \[\Delta G=\Delta H-T\,.\,\,\Delta S\] For spontaneous reaction \[\Delta G<0\]ie, \[\Delta H-T\,.\,\,\Delta S\] must be negative. Note- For non-spontaneous reaction \[\Delta G>0\].
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