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Given the fundamental relation S=NRlog[(Nu0U)cNv0V] where R is the ideal gas constant, and u0 and v0 are constants, find the predicted PvT equation of state

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Given the fundamental relation S=NRlog[(Nu0U)cNv0V] where R is the ideal gas constant, and u0 and v0 are constants, find the predicted PvT equation of state for this model, and the chemical potential as a function of temperature and pressure. What is the fugacity

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