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mmedrano8
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1. Find an expression that relates T and V in a process in which the entropy S is constant, by doing the following:
a) From thermodynamic identity dS=(1/t)dU + (p/v)dV
find the expression for dS as a function of T and V (and dT and dV).
b) Integrate the expression found in (a) along the line of constant S.
I tried to use the equation of state for a Van der Waals gas
p=(NkT)/V-a(N^2/V^2)
a is constant
its energy as a function of temperature and volume is given by
U(T,V)=2NkT-a(N^2/V)
If you could give any hints that would be great!
a) From thermodynamic identity dS=(1/t)dU + (p/v)dV
find the expression for dS as a function of T and V (and dT and dV).
b) Integrate the expression found in (a) along the line of constant S.
Homework Equations
I tried to use the equation of state for a Van der Waals gas
p=(NkT)/V-a(N^2/V^2)
a is constant
its energy as a function of temperature and volume is given by
U(T,V)=2NkT-a(N^2/V)
If you could give any hints that would be great!
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