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18 Nov 2019
The elementary irreversible reaction R rightarrow s is to run isothermally two CSTRs in series. The overall conversion exiting the second reactor is to be x_2 = 0.75: that is, the molar flowrate of R leaving the second reactor is to be one-fourth of the molar flowrate of R entering the first reactor. The inlet molar flowrate and concentration of the pure R feed are 1 lbmol/s and 6 lbmol/ft^3, respectively, and the rate constant is 0.0865 s^-1. What choice for x_1 will minimize the total volume of the two CSTRs? a. Determine an equation for the volume of each reactor V_1 and V_2 in terms of the given data and the unknown x_1. b. Determine an equation for the total volume of the two CSTRs: V_T = V_1 +V_2. c. Set the derivative (V_T)/d(x_1) equal to zero. d. Solve for the value of x_1 that minimizes V_T. e. what are the values of V_1 and V_2? How much "volume" did you save compared to using a single CSTR to get to x_2?
The elementary irreversible reaction R rightarrow s is to run isothermally two CSTRs in series. The overall conversion exiting the second reactor is to be x_2 = 0.75: that is, the molar flowrate of R leaving the second reactor is to be one-fourth of the molar flowrate of R entering the first reactor. The inlet molar flowrate and concentration of the pure R feed are 1 lbmol/s and 6 lbmol/ft^3, respectively, and the rate constant is 0.0865 s^-1. What choice for x_1 will minimize the total volume of the two CSTRs? a. Determine an equation for the volume of each reactor V_1 and V_2 in terms of the given data and the unknown x_1. b. Determine an equation for the total volume of the two CSTRs: V_T = V_1 +V_2. c. Set the derivative (V_T)/d(x_1) equal to zero. d. Solve for the value of x_1 that minimizes V_T. e. what are the values of V_1 and V_2? How much "volume" did you save compared to using a single CSTR to get to x_2?
Bunny GreenfelderLv2
2 Jun 2019