Unformatted text preview: (15 points) P cr = a 27 b 2 ; V cr = 3 b ; T cr = 8 a 27 b R b) Using the definition of a reduced pressure, reduced volume, and reduced temperature, show that the van der Waals equation of state can be rewritten in the form: (5 points) P r + 3 V r 2 ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ V r − 1 3 ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ = 8 3 T r Extra Credit ( 15 points ) Consider a gas following the Clausius equation of state, P V − b ' ( ) = RT where b ' is a constant that does not depend on pressure, volume, or temperature. Calculate expressions for dU , dH and dS that may be used to evaluate the changes in internal energy, enthalpy, and entropy for processes in which T and P are changed. How do these expressions compare to those calculated for an ideal gas? In particular, does the enthalpy and internal energy of the system still depend only on the temperature of the gas?...
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 Fall '08
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 Dynamics, Thermodynamics, Van der Waals, van der, Engineering Thermodynamics University of California Problem

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