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Problem 1 The fundamental equation of thermodynamics
for a system is given by
G = NRT--In(T)+
In(o)
where G is Gibbs free energy, N is the number of moles
of chemical substance, R
is gas constant, T
temperature, In is the natural log function, P is pressure.
Please derive an expression each for the following:
is
a. Entropy s
as a function of temperature T,
pressure p, and number of moles N.
b. Volume V as
a function of temperature T,
pressure p, and number of moles N.
c. Helmholtz free energy
as
a
function of
temperature T, pressure p, and number of moles
N.

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