PS5 - Molar Volume, cc 0.990 10000 1.96 5000 3.85 2500 4.76...

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ChBE 3110, Fall Semester, 2009 Chemical Engineering Thermodynamics II Problem Set Five 1. Laboratory alcohol contains 96 mass-percent ethanol and 4 mass-percent water. As an experiment a student decides to convert 200 cm 3 of this material into vodka, having a composition of 56 mass-percent ethanol and 44 mass-percent water. Wishing to perform the experiment carefully, she searches the literature and finds the following partial-specific-volume data for ethanol/water mistures at 25 o C and 1 atm: 2 3 -1 3 -1 / / In 96% ethanol In vodka 0.816 0.953 1.273 1.243 H O EtOH v cm g v cm g × × The specific volume of water at 25 o C is 1.003 cm 3 c g -1 . How much water should be added to the 2000 cm 3 of laboratory alcohol, and how much vodka results? 2. Show how other excess properties follow from knowledge of G E as a function of T , P , and x . 3. Determine expressions for H E , S E , V E , and the activity coefficients for a binary mixture described by G E = Bx 1 x 2 . 4. P-V-T measurements of a gas at 121.9 ° K are given below, Pressure, atm
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Unformatted text preview: Molar Volume, cc 0.990 10000 1.96 5000 3.85 2500 4.76 2000 9.10 1000 16.8 500 30.4 250 a. Determine B and C for this gas at this temperature, ... 1 2 + + + = v C v B RT Pv b. Estimate the change in Helmholtz energy in compressing this gas from a molar volume of 10000 cc to 100 cc. 5. Calculate the molar volume of a binary mixture containing 30 mol % nigrogen(1) and 70 mol % n-butane(2) at 188 o C and 6.9 MPa by the following methods: a. Assume the mixture to be an ideal gas b. Assume the mixture to be an ideal solution with the volumes of the pure gases given by 1 BP Z RT = + and the virial coefficients given below. c. Use the second virial coefficients predicted by the generalized correlation for B. d. Use the following values for the second virial coefficients. Data: B 11 =14 B 22 = -265 B 12 = -9.5 (Units are cm 3 /gmole) e. Using the Peng-Robinson equation. f. How good is the ideal solution approximation?...
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This note was uploaded on 10/18/2009 for the course CHBE 3110 taught by Professor Staff during the Spring '08 term at Georgia Tech.

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PS5 - Molar Volume, cc 0.990 10000 1.96 5000 3.85 2500 4.76...

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