Question

Entropy plays a larger role in determining the Gibbs energy of reactions that take place at what?

Answer 1

Well, surely at higher temperature...

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From the Gibbs' free energy Maxwell Relation,

`dG = -SdT + VdP`

and the enthalpy Maxwell Relation,

`dH = TdS + VdP`

We find then that

`dG = -SdT + dH - TdS`

At constant temperature, we would then get the Gibbs' isothermal relation:

`dG = dH - TdS`

Integration from the initial to the final state gives:

`int_((1))^((2)) dG = int_((1))^((2)) dH - Tint_((1))^((2)) dS`

And this should be familiar:

`=> color(blue)(DeltaG = DeltaH - TDeltaS)`

Since `DeltaS` is multiplied by the temperature, higher temperature increases the contribution of `TDeltaS` in determining `DeltaG` for a given reaction.