Chemical Potential of Rubber Band

Suppose an equation of state for a rubber band is

where θ is a constant, L is the length of the rubber band, n is a mole number of the rubber band, and S is an entropy of the rubber band. The First Law of Thermodynamics for this system can be written as,

where f is a tension of the rubber band. Determine the chemical potential as a function of T and L/n .

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