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(Solved): 3.1.H The fundamental Helmholtz potential for a fluid is given as f=f_(0)-s_(0)(T-T_(0))-RTlog((v-b) ...
3.1.H The fundamental Helmholtz potential for a fluid is given as
f=f_(0)-s_(0)(T-T_(0))-RTlog((v-b)/(v_(0)))
+(a(T))/(2\sqrt(2)b)log[((v+b(1+\sqrt(2)))/(v+b(1-\sqrt(2))))]+\int_(T_(0))^T ((T^(')-T)/(T^(')))c_(v)^(ideal )(T^('))dT^(')
Find the thermal and mechanical equations of state for this fluid. The PVT relation is
called the Peng-Robinson equation of state. Since v_(0) is the specific volume for which
the fluid is ideal, it is much larger than b, and the second ratio that appears inside the
logarithm may be safely approximated as 1 .