ProblemSet_4_Fall2008_1

ProblemSet_4_Fall2008_1 - CHEM 3615 Problem Set #4 Real...

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Page 1 of 3 CHEM 3615 Problem Set #4 –Real Gases Due September 23, 2008 Finish reading Chapter 2. Problems 1 through 7 are due at the start of class and will be graded. 1. In the last problem set, you plotted Z values for methane as a function of temperature expressed in terms of nT B for the two-term virial expansion for a van der Waal's gas: RT p RT a b 1 RT V p Z + = = Plot the derivative of the compression factor with respect to pressure at constant temperature as a function of temperature (100K < T < 6000K) and make a second plot where the temperature varies between (100K < T < 1x10 6 K) using a logarithmic scale. In both cases, pick your y axis in such a way as to clearly see any maximum in temperature. At what temperature (T max ) does the slope maximize in terms of the Boyle temperature? Prove this mathematically. Finally, what is the value of the maximum slope in terms of the van der Waal's constants a and b? {Units for T max are K, the maximum slope is in units of Pa -1 } 2. The law of corresponding states predicts two gases have identical states when they have identical reduced variables. Using the critical constants in the data section of your textbook, tell me when oxygen has the same compression factor as helium at 10.0 K, 60.0 mL/mol, and
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This note was uploaded on 09/29/2008 for the course CHEM 3615 taught by Professor Aresker during the Fall '07 term at Virginia Tech.

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ProblemSet_4_Fall2008_1 - CHEM 3615 Problem Set #4 Real...

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