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Question: a derive an expression that gives the isothermal change of...

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(a) Derive an expression that gives the isothermal change of internal energy with volume in terms of easily measurable quantities. (b) Using the expression in part (a), determine what the isothermal change in internal energy with volume would be for a gas following van der Waals equation of state. (c) Using the expression in part (b), calculate the change in internal energy when 1 mole of nitrogen is expanded from a density of 0.14 g/cm^3 to 0.01 g/cm^3 at 200 K. Express your answer in calories. The critical pressure and critical temperature of N2 is 34 bar and 126.2 K.

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