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ProblemSet_4_Fall2008

# ProblemSet_4_Fall2008 - CHEM 3615 Problem Set#4 Real Gases...

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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,

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ProblemSet_4_Fall2008 - CHEM 3615 Problem Set#4 Real Gases...

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