Question

In: Chemistry

Show how it is possible to get the other state functions, G, A, and H, from...

Show how it is possible to get the other state functions, G, A, and H, from just S and U.

Solutions

Expert Solution

at constant volume

dU = dq + dw(1st law)

dS = dq/T(2nd law)

T is known dS is known so dq is known from 2nd law

and from first law dw is also known because dU and dq are known

At constant volume, dV = 0, and we have

dU <= TdS

or

dU - TdS <= 0

Since T and V are held constant, we can write this expression as

d(U - TS) <= 0

Thus, we can define a new state function, A = U - TS.

dA <= 0

dH = dU + PdV + VdP = TdS + VdP

dG = dA + PdV + VdP = -SdT + VdP

queen_honey_blossom answered 11 hours ago
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