# Quiz01 - Physical Chemistry(I Quiz 01 Sep 27 2007 1(15...

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Physical Chemistry (I) Quiz 01 Sep. 27, 2007 1. (15%) Regarding the real gases described by the van der Waals equation: (a) Write down the equation of state and explain the physical meaning of the two parameters. (5%) (b) Write down the approximate equation with only one parameter at the condition of sufficiently high temperature and explain why the attractive part of the potential has no influence in this expression. (5%) (c) The parameter a in the van der Waals equation is greater for H 2 O than for He. Draw approximately (qualitatively) the potential energy curves of intermolecular (or interatomic) interaction of the two systems in one figure for comparison. (5%) 2. (15%) Consider a 20.0-L sample of moist air at 60ºC and 1 atm in which the partial pressure of water vapor is 0.120 atm. Assume that dry air has the composition 78.0 mole percent N 2 , 21.0 mole percent O 2 , and 1.00 mole percent Ar. (a) What are the mole percentages of each of the gases in the sample? (5%) (b) The percent relative humidity is defined as % RH = O H O H 2 2 P P where O H 2 P is the partial pressure of water in the sample and * O H 2 P = 0.197 atm is the equilibrium vapor pressure of water at 60ºC. The gas is compressed at 60ºC until the relative humidity is 100%. What volume does the mixture now occupy? (5%) (c) What fraction of the water will be condensed if the total pressure of the mixture is isothermally increased to 200 atm? (5%) 3. (25%) A system containing 2.5 mol of an ideal gas for which C V,m = 20.79 J mol -1 K -1 is taken through the cycle in the following diagram in the direction

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Quiz01 - Physical Chemistry(I Quiz 01 Sep 27 2007 1(15...

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