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Assignment 2

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  • 1. Faculty of Chemical Engineering CPE553 Chemical Engineering Thermodynamics Semester March-July 2013 9 May 2013 ASSIGNMENT 2 *Individual assignment. You are allowed to use Microsoft Excel for calculations. Graphs must be plotted manually except question 3. 1. The excess Gibbs energy of a binary liquid mixture at T and P is given by:   1 2 1 20.8815 1.2251 E G x x x x RT (a) Find expressions for ln 1 and ln 2 at T and P by using partial properties relation. Hint: The summability relation for the excess Gibbs energy is    ln 11.99 E i i i G x RT (b) Show that expressions in (a) satisfy the Gibbs/Duhem equation. (c) Plot GE /RT, ln 1 and ln 2 as calculated by the given equation for GE /RT and by the equations developed in (a) vs. x1. Label points ln 1  andln 2  and show their values on the plot. (Show table of calculated values and a sample of calculation for GE /RT, ln 1 and ln 2 at x1 = 0.3) 2. Assuming that eq. (11.68) is valid for vapor phase and eq. (11.44) is fugacity for liquid phase where the molar volume of saturated liquid is given by eq. (3.72), determine the fugacity and fugacity coefficient for chloroform at 200o C (473.15K) and pressure range from 0 to 40 bar. Plot the results as function of pressure on a single graph. At 200o C (473.15K) the vapor pressure of chloroform is 22.27 bar.                                    2/7 0 1 0 1.6 1 4.2 1 exp 11.68 0.422 0.083 3.65 0.172 0.139 3.66 exp 11.44 3.72 r r r r r sat sat isat sat i i i Tsat c c P B B T where B T B T V P P f P RT where V V Z (Show table of calculated values and a sample of calculation for fugacity and fugacity coefficient at P = 15 bar, 22.27 bar and 40 bar) 3. The following table is a set of VLE data for the system methanol(1)/water(2) at 60o C (333.15K). (a) Prepare a P-x1-y1 diagram that compares the experimental data with values calculated from Wilson and NRTL equations. (b) Prepare diagrams that show the residuals P and y1 plotted vs. x1 for both models.
  • 2. Faculty of Chemical Engineering CPE553 Chemical Engineering Thermodynamics Semester March-July 2013 9 May 2013       exp exp 1 1 1calc calcP P P y y y (Show table of calculated values and a sample of calculation in part (a) and (b) for each model.) P (kPa) x1 y1 19.953 0.0000 0.0000 39.223 0.1686 0.5714 42.984 0.2167 0.6268 48.852 0.3039 0.6943 52.784 0.3681 0.7345 56.652 0.4461 0.7742 60.614 0.5282 0.8085 63.998 0.6044 0.8383 67.924 0.6804 0.8733 70.229 0.7255 0.8922 72.832 0.7776 0.9141 84.562 1.0000 1.0000 (Source: K.Kurihara et al., J.Chem. Eng. Data, vol. 40, pp. 679-684, 1995) Date of submission: 22nd May 2013 before 5pm