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,
dU = TdS − fdL + μdn (1)
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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