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Unformatted text preview: Department of Chemical Engineering & Materials Science University of California, Davis ECM6: Homework # 1 Problem 1 The van der Waals equation of state (VDW EOS) is derived from the ideal gas law by adding two additional terms to the ideal gas law. The first term accounts for intermolecular attraction and is of the form a V 2 , where a is an empirical constant for each substance. The second term accounts for the fact that molecules have a finite volume and therefore there is a volume below which a system can never be compressed. The result is (1) P = R T V b a V 2 where the constant b is specific for each substance. The constants can be determined at the critical point where the density of the liquid and gas phase are the same. At the critical point T = T C , P = P C and V = V C the following conditions hold (2) J P V N T C = 0, i k j j 2 P V 2 y { z z T C = Use Mathematica to determine the constants...
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This note was uploaded on 04/20/2008 for the course ECM 006 taught by Professor Higgins during the Spring '07 term at UC Davis.
 Spring '07
 Higgins

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