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TESE1 - Chem 444 B Exam 1 Page 1 Chemistry 444 B Hour...

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Chem 444 B Exam 1 Page 1 Chemistry 444 B Hour Exam #1 February 25, 2009 Each problem is worth 20 pts. 1. The Redlich-Kwong equation of state is given by: ( ) 1/ 2 ) RT A P V B T V V B = + a) Obtain an expression for the compressibility factor, PV Z RT = , of a gas governed by the Redlich-Kwong equation in terms of molar volume, temperature and the appropriate constants. Note A and B are positive constants. b) According to the Redlich-Kwong equation of state, under what conditions will the observed pressure be greater than ideal pressure? Less than? 2. Derive the average ensemble energy, the heat capacity at constant volume, and the pressure using the partition function for one mole of an ideal monotonic gas, by taking the appropriate derivatives (don’t just write down the expressions!). 3/2 2 [ ( , )] ( , , ) ! 2 where ( , ) N q V Q N V N m q V V h β β π β β = = 3. Molecular nitrogen is heated in an electric arc. The relative population of the excited vibrational
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