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Free energy, G=H-TS, is a state function that includes whether a reaction is spontaneous or non-spontaneous. If you think of TS as the part of the system's energy that is disordered already, then (H-TS) is the part of the system's energy that is still ordered and therefore free to cause spontaneous change by becoming disordered. Also, DeltaG=DeltaH-TDeltaS To see what this equation for free energy change has to do with spontaneity let us return to relationship. DeltaS_("total")=DeltaS_("sys")+DeltaS_("surr") = DeltaS + DeltaS_("surr") (It is generally understood that symbols without subscript refer to the system not the surroundings.) DeltaS_("surr")=-(DeltaH)/T, where DeltaH is the heat gained by then system at constant pressure. DeltaS_("total") = DeltaS -(DeltaH)/T rArr TDeltaH_("total")=DeltaH-TDeltaS rArr -TDeltaS_("total") =DeltaH-TDeltaS i.e. DeltaG=-TDeltaS_("total") From second law of thermodynamics, a reaction is spontaneous if DeltaS_("total") is positive, non-spontanous if DeltaS_("total") is negative and at equilibrium if DeltaS_("total") is zero. Since, -TDeltaS=DeltaG and since DeltaG and DeltaS have opposite signs, we can restate the thermodynamic criterion for the spontaneity of a reaction carried out at constant temperature and pressure. If DeltaG lt 0, the reaction is spontaneous. If DeltaG gt 0, the reaction is non-spontanous. If DeltaG=0, the reaction is at equilibrium. In the equation, DeltaG=DeltaH-TDeltaS, temperature is a weighting factor that determine the relative importance of enthalpy contribution to DeltaG. Read the above paragraph carefully and answer the following questions based on above comprehension: A particular reaction has a negative value for the free energy change. Then at ordinary temperature.

Answer»

It has a large `-ve` value for the entropy change
It hs large `+ve` value for entropy change
It has a small `+ve` for enthalpy change
It has a `+ve` value for the entropy change and a `-ve` value for enthalpy change

Solution :`DeltaG=DeltaH - TDELTAS` can be NEGATIVE of ORDINARY temperature T if `DeltaH` is `-ve` and `DELTAS` is +ve


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