1.

Explain the relationship between free energy and equilibrium constant.

Answer»

Solution :Let US consider a general equilibrium reaction
`A+BhArrC+D`
The free ENERGY change of the above reaction in any state `(DeltaG)` is related to the STRANDED free energy change of the `(DeltaG^(@))` according to following equation
`DeltaG= DeltaG^(@)+RT "In " Q`
where Q is reaction quotient . When equilibrium is attained , there is no further free energy change i.e. `DeltaG=0` and Q becomes equal to equilibrium constant.
Hence the above equation becomes.
`DeltaG^(@)=-RT "In"K_(eq)`
This equation is KNOWN as Van 't Hofff equation
`DeltaG^(@)=-2.303RTlogK_(eq)`
We also know that
`DeltaG^(@)=DeltaH^(@)-TDeltaS^(@)=-RT " In " K _(eq)`


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