Question

Using appropriate equations and perhaps graphs, explain when free energy is relatively temperature independent.

Using appropriate equations and perhaps graphs, explain when free energy is relatively temperature independent.

Homework Answers

Answer #1

For a physical change of ice melting is happened at constant temperature and also at constant pressure

G ∆H - T ∆S

If ∆G = < 0 process is spontaneous

∆G > 0 process is spontaneous in opposite direction

∆G = 0 Equilibrium

And also the changing free energy at constant temperature at change s in the concentration of the various species

G=G(T,P)= E--TS+pV= Gibbs free energy

dE = TdS --pdV

d(TS)--SdT--[d(pv)--VdP]

Or

dG = --SdT+Vdp----------1

But also dG = ( dG/dp )T dP + (dG/dT)P+ dT-----------2

From equation 1 & 2 ( dG/dp)T = V and (dG/dT)= -S

Finally -(dG/dP)T= (dV/dT)p ....it's Maxwell Relation.

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