Separation Process Principles- 2n - Seader & Henley - Solutions Manual

05866 005326 ln 07314 005326 2 ln 1 005326 005326

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Unformatted text preview: 724 0.05326 0.7314 = 0.934 φBV = exp (0.7314 − 1) = 0.705 0.05866 0.2724 0.3705 0.05866 0.05326 − ln ( 0.7314 − 0.05326 ) − 2 − ln 1 + 0.05326 0.05326 0.2724 0.05326 0.7314 Exercise 2.19 Subject: Estimation of K-values by the P-R and S-R-K equations of state for a butanesbutenes stream. Given: Experimental K-values for an equimolar mixture of isobutane, isobutene, nbutane, 1-butene, trans-2-butene, and cis-2-butene at 220oF and 276.5 psia. Find: K-values by the P-R and S-R-K equations of state using a process simulator. Analysis: Using the ChemCAD process simulation program, the following values are obtained and compared to the experimental values: Component Isobutane Isobutene n-butane 1-butene Trans-2-butene Cis-2-butene Experimental K-value 1.067 1.024 0.922 1.024 0.952 0.876 P-R K-value 1.088 1.029 0.923 1.015 0.909 0.882 S-R-K K-value 1.095 1.036 0.929 1.022 0.916 0.889 The experimental and estimated K-values agree to within 3% for all components except trans-2-butene. For that component, the P-R and S-R-K values are in close agreement, but deviate from the experimental value by from 4 to 5%. Exercise 2.20 Subject: Cooling and partial condensation of the reactor effluent in a toluene disproportionation process. Given: Reactor effluent component flow rates, and temperature and pressure before and after a cooling-water heat exchanger. Find: Using the S-R-K and P-R equations of state with a process simulation program, compute the component K-values, and flow rates in the vapor and liquid streams leaving the cooling-water heat exchanger, and the rate of heat transfer in the cooling-water heat exchanger. Analysis: Using the ChemCAD simulation program, the following phase equilibrium results are obtained for 100oF and 485 psia. S-R-K Equation of State: lbmol/h: Component K-value Reactor effluent Equilib. Vapor Equilib. liquid Hydrogen 85.2 1900 1873.79 26.21 Methane 10.12 215 192.35 22.65 Ethane 1.715 17 10.03 6.97 Benzene 0.00827 577 3.98 573.02 1349 2.98 1346.02 Toluene 0.00264 Paraxylene 0.000881 508 0.37 507.63 Total 4566 2083.51 2482.49 P-R Equation of State: Component Hydrogen Methane Ethane Benzene Toluene Paraxylene Total lbmol/h: K-value 34.4 11.27 1.890 0.0110 0.00359 0.001008 Reactor effluent 1900 215 17 577 1349 508 4566 Equilib. Vapor 1834.46 193.85 10.30 4.95 3.93 0.42 2047.91 Equilib. liquid 65.54 21.15 6.70 572.05 1345.07 507.58 2518.09 Except for hydrogen, the results are in good agreement. The rate of heat transfer is computed by an energy balance, using an exchanger inlet condition of 235oF and 490 psia. Stream enthalpies are obtained from the ChemCAD program. For S-R-K, QC = 25,452,000 - (-6,018,000) - 15,059,000 = 16,411,000 Btu/h For P-R, QC = 26,001,000 - (-6,057,000) - 15,928,000 = 16,130,000 Btu/h Exercise 2.21 Subject: Minimum work for the separation of a nonideal liquid mixture. Given: A 35 mol% acetone (1) and 65 mol% water (2) liquid mixture at 298 K and 101.3 kPa, to be separated into 99 mol% acetone and 98 mol% water. Van Laa...
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