Please show all work and explain, thank you. 7. Let? s not forget how to do deri

Question

Please show all work and explain, thank you.

7. Let? s not forget how to do derivations. In the case of the approximate relationship for the temperature dependence of deltaG via the Gibbs-Helmholtz relation: = , which yields: , lets figure out a bit more concerning how this approximation works by inserting deltaG2 = deltaH1 - T1 deltaS1 and solve for deltaG2. (7 pts) Hint: The relationship deltaG2 = deltaH1 - T2deltaS1 is an approximation because the temperature dependence of deltaH and deltaS are completely ignored.

Explanation / Answer

DG2/T2 = DG1/T1 +DH1*(1/T2-1/T1)
DG2 = DG1*T2/T1 +DH1*(1-T2/T1)
= (DH1-T1*DS1)*T2/T1 +DH1*(1-T2/T1)
= DH1*T2/T1- DS1*T2 + DH1*(1-T2/T1)
= DH1- DS1*T2

So, DG2 = DH1- DS1*T2

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