Free energy and Free energy change, Gibb's free energy, Thermodynamics Assignment Help

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Free energy and Free energy change

         The Gibb's free energy (denoted by G) is a state function and is a measure of maximum work done or useful work done from a reversible reaction at constant temperature and pressure.

         (1) Characteristics of free energy

         (i) The systems free energy is the enthalpy of the system minus the product of absolute temperature and entropy which means G=H-TS

        (ii) Like other state functions E, H and S, it is also expressed as ΔG. Also ΔG = ΔH - TΔS where ΔS is entropy change for system only. This is the Gibb's Helmholtz equation.

 

         (iii)  At equilibrium  ΔG = 0

         (iv) For the spontaneous process decrease in free energy is noticed that is ΔG = -ve.

         (v) At absolute zero, TΔS is zero. Therefore if ΔG is - ve, ΔH should be - ve or only exothermic reactions proceed spontaneously at absolute zero.

         (vi) 465_free energy.png    , where ΔH = 0

         (vii) The standard free energy change,  491_free energy.png 
 where K is equilibrium constant.

         (a) Thus if K>1 then ΔG0 = -ve thus reactions with equilibrium constant K>1 are thermodynamically spontaneous.

         (b) If  K<1, then ΔG0 = +ve  and thus reactions with equilibrium constant K<1 are thermodynamically spontaneous in reverse direction.

         (2) Criteria for spontaneity of reaction : For a spontaneous change ΔG = -ve  and therefore use of 

ΔG = ΔH - TΔS provides the following conditions for a change to be spontaneous.

1812_free energy2.png

 

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