Consider a monatomic fluid along its liquid-gas coexistence curve. Compute the rate of change of chemical potential

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Consider a monatomic fluid along its liquid-gas coexistence curve. Compute the rate of change of chemical potential along the coexistence curve, (du/dT) coex where is the chemical potential and 7 is the temperature. Express your answer in terms of si, vi and sg, vg, which are the molar entropy and molar volume of the liquid and gas, respectively.

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