- #1
Juliush
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Hello all, this is my first post! Hopefully I can gain some valuable insight.
Find the relation among T, P and mu for the system with the given equation
T=dU/dS
P=-dU/dV
mu=dU/dN
The Euler Equation for Thermodynamics U = TS - PV +mu*N
Gibbs Duhem Relation : mu = -sdT + vdP with s = S/N and v = V/N
I guess my biggest issue is understanding what is meant by 'relation'. Do I find mu as a function of T and P? If so, I cannot find a way (using the Gibbs Duhem relation) to express 's' and 'v'. I have already found the partial derivatives (equations of state) of the system. Any help would be greatly appreciated!
P.S. I'm not familiar with Latex so I apologize for any misleading notation :)
Homework Statement
Find the relation among T, P and mu for the system with the given equation
U = b S4/NV2
I let b equal the several constants stated in the problem.Homework Equations
T=dU/dS
P=-dU/dV
mu=dU/dN
The Euler Equation for Thermodynamics U = TS - PV +mu*N
Gibbs Duhem Relation : mu = -sdT + vdP with s = S/N and v = V/N
The Attempt at a Solution
I guess my biggest issue is understanding what is meant by 'relation'. Do I find mu as a function of T and P? If so, I cannot find a way (using the Gibbs Duhem relation) to express 's' and 'v'. I have already found the partial derivatives (equations of state) of the system. Any help would be greatly appreciated!
P.S. I'm not familiar with Latex so I apologize for any misleading notation :)