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PS2_ChE 230_assign_10

# PS2_ChE 230_assign_10 - equation shown and with R = 8.314...

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ChE 230 Spring 2009 Problem Set 2 – 01/19/10-01/26/09 1. The SRK equation of state is similar to the van der Waals equation and is given by ) b V ˆ ( V ˆ a b V ˆ RT P + α = For N 2 O T c = 309.6 K R= 0.08206 L atm/K mole P c = 72.4 atm a = 0.42748(R T c ) 2 /P c ω = 0.165 b = 0.08664 R T c /P c 2 2 / 1 c )] ) T / T ( 1 ( m 1 [ + = α and m = 0.48508 + 1.55171 ω – 0.15613 ω 2 Solve for V ˆ at (i) 200 K and 6.0 atm, (ii) 250 K and 12.0 atm, and (iii) 300 K at 22.0 atm. a. Using Polymath. b. Using Mathcad. . 2. Consider a mixture of 25 mole % n-pentane, 45 mole % n-hexane, and 30 mole % n-heptane. Use Polymath to: a. Determine the bubble point of this mixture at 1.8 bar. b. The mixture is flashed at 85°C and 1.8 bar. Determine the fraction in the vapor and liquid phases, and the mole fraction of each component in each phase. The constants in the vapor pressure expressions are given below, with the form of the
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Unformatted text preview: equation shown, and with R = 8.314 J/mole K. ) K ( RT B A ) bar ( P ln * − = A B n-pentane 10.442 26799 n-hexane 10.456 29676 n-heptane 11.431 35200 3. As part of a problem to find the intermediate conversion (x) in two continuous stirred tank reactors that minimizes the total reactor volume, the following non-linear equation must be solved. The value of the conversion, x, must lie between 0 and 1. 100 ) x 1 ( x 1 3 = − + a. For the bisection method, set up the problem and perform the first two iterations. b. For the Newton-Raphson method, set up the problem and perform the first two iterations. c. Solve the problem using Polymath. d. Solve the problem using Mathcad. e. Solve the problem using the solver in Excel....
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