CHE425: Problem set #51) Run program CASCADES. You need to copy the folder CHE425 into the H: drive or yourflash drive. Open the folder CHE425 and double click on DOSBox.exe. When the prompt“C:\>” appears, type CASCADES and press “ENTER” to run the program. Copy and reportthe score and performance number from the program. Type “e” or “exit” and press “ENTER”to exit the DOSBox program.2) 1A liquid mixture containing 10 mol % n-heptane and 90 mol % n-octane is fed at itsboiling point to the top of a stripping tower at 101.32 kPa. Figure 2 depicts a stripping towerwhere the feed stream is the saturated liquid and the distillate stream is the saturated vapor.There is no reboiler or condenser in a stripping tower. The bottoms are to contain 98 mol %n-octane. For every 3 mol of feed, 2 mol of vapor is withdrawn as product. Calculate thecomposition of the vapor and the number of theoretical plates required. The equilibrium dataare given belowx 0 0.012 0.039 0.067 0.097 0.284y 0 0.025 0.078 0.131 0.184 0.459FBV = DFigure 2 Stripping tower with feed F and product D = V.yD = 0.14# of equilibrium stages = 3.8455711 Geankoplis, C.J., Transport Processes and Separation Process Principles, 4th ed., Prentice Hall, 2003, p. 7543) 2A liquid feed at the boiling point contains 3.3 mol % ethanol and 96.7 mol % water andenters the top tray of a stripping tower shown in Figure 3.FB, xBV, yDS (Steam)xFLxVyFigure 3 Stripping tower and direct steam injection.Saturated steam is injected directly into liquid in the bottom of the tower. The overheadvapor which is withdrawn contains 99% of the alcohol in the feed. Assume equimolaroverflow for this problem. Equilibrium data for mole fraction of alcohol are as follows at101.32 kPa abs pressure. x 0 0.0080 0.020 0.0296 0.033y 0 0.0750 0.175 0.250 0.270 (a) For an infinite number of theoretical steps, calculate the minimum moles of steamneeded per mole of feed. (Be sure and plot the q-line)(b) Using twice the minimum moles of steam, calculate the number of theoretical stepsneeded, the composition of the overhead vapor, and the bottoms composition.Ans. a) Minimum 0.121 mol steam/mol feedb) # of equilibrium stages = 4.7377722 Geankoplis, C.J., Transport Processes and Separation Process Principles, 4th ed., Prentice Hall, 2003, p. 7544. 3(a) For the cascade shown in Figure 4, calculate the composition of streams V4 and L1.Assume constant molar overflow, atmospheric pressure, saturated liquid and vapor feeds, andthe vapor-liquid equilibrium data given below.x 0 0.10 0.30 0.50 0.70 0.90 1.000y 0 0.20 0.50 0.68 0.82 0.94 1.000V4L11234100 moles30% alcohol70% water100 moles70% alcohol30% waterV4L11234100 moles30% alcohol70% water( a)TotalcondenserD50 moles( b)LRFigure 4 Vapor-liquid equilibrium cascade.(b) Given the feed compositions in cascade (a), how many stages would be required toproduce a V4 containing 85% alcohol?(c) For the configuration in cascade (b), with D = 50 moles what are the composition of Dand L1?(d) For the configuration in cascade (b), how many stages are required to produce a D of50% alcohol?Ans. a) x5 = 0.70045633 J. D. Seader and E. J. Henley, Separation Process Principles, Wiley, 1998b) A vapor stream containing 85% alcohol cannot be obtained (infinite number of stagesrequired).c) xD( between 0.3 and 0.95) = .445y0 = 0.300531, x1 = 0.156062d) The operating line intersects equilibrium curve  infinite number of stage.5. Determine the overall efficiency of a distillation column used to separate methanol from water. The average temperature and pressure of the column are 80oC and 1 atm, respectively. The feed is saturated liquid with mole fraction of methanol equal to 0.40 corresponding to equilibrium vapor mole fraction of 0.718.Ans. 0.49866. Determine the plate efficiency of a distillation column used to separate methanol fromwater. The plate is at 80oC and 1 atm. The cross-sectional area of the column is 0.50 m2. Thevapor volumetric flow rate is 0.95 m3/s. The following data are providedL (kg/m3)v (kg/m3)L(kg/ms)v(kg/ms) hw (m) Ah (m2)806 0.826 0.336×10-310.6×10-650×10-30.038Atomic volume of C H Om3/kmol 0.0148 0.0037 0.0074Ans. The efficiency of the plate is 67%.7. A liquid mixture of benzene-toluene is to be distilled in a fractionating tower at 760mmHg. The feed is saturated liquid with a flow rate of 100 kmol/h, containing 50 mol %benzene and 50 mol % toluene, and enters at 327.6 K. We want to obtain a distillatecontaining 95 mol % benzene and 5 mol % toluene and a bottoms containing 2 mol %benzene and 98 mol % toluene. The reflux ratio is 2.0. The average heat capacity of the feedis 159 kJ/kmol and the average latent heat 32,099 kJ/kmol. Use enthalpy balances todetermine the temperatures, flow rates, and composition of the streams entering and leavingthe first two stages of the column (after the condenser). Physical property data are given in the following Table 11.Component Tb(oC) Cp(kJ/kmolK) Cpy(kJ/kmolK) (kJ/kmol)Benzene (A)Toluene (B)80.1110.6138.2167.596.3138.230,82033,330Vapor pressure: Psat (mmHg), T(oC)log10 PAsat = 6.90565  1211.033/(T + 220.79)log10 PBsat = 6.95334  1343.943/(T + 219.377)You need to provide the following informationStage 1: T1(oC) = __82.57__ Stage 2: T2(oC) = __84.65__ L0(kmol/h) L1(kmol/h) L2(kmol/h) x0x1x2103.2258 102.07 99.73 0.95 0.88104 0.78754V1(kmol/h) V2(kmol/h) V3(kmol/h) y1y2y3154.8387 153.69 151.34 0.95 0.90420 0.84294Note: x and y are the mole fraction of benzene.1 Geankoplis, C.J., Transport Processes and Separation Process Principles, 4th edition, Prentice Hall, 2003, p.