Consider a pure system given by the equations of states [ u=frac{3}{2} P v quad ext { and } quad P=a v T^{4} ] where ( u=U / N ) is the energy per particle, ( v=V / N ) denotes the volume per particle, and ( a ) is a constant. Find the fundamental equation and determine the Helmholtz free energy per particle ( f=f(T, v) ).
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First, we can substitute the second equation into the first to get: \[ u=\frac{3}{2} a v^2 T^4 \] Show more…
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