Problem set #8CHE 313 (Spring) __________________ LAST NAME, FIRST Problem set #81) A distillation column with 100 kmol/h feed of 50% A and 50% B produces a distillate productwith xD = 0.95 and a bottom stream with xbot = 0.04 of the more volatile species A. CMO is validand the equilibrium data is given by y = 2.41 1.4xx+a) If the feed is saturated liquid, determine the minimum reflux ratio __________b) If the feed is saturated vapor, determine the minimum reflux ratio __________For questions c, d, and e the reflux ratio is 1.5 and the feed is a saturated mixture with q = 0.6,determine:c) V= __________ d) L= __________e) The mole fraction of A in the vapor stream entering the top equilibrium stage __________2) Saturated-liquid feed of F = 40 mol/h, containing 50 mol% A (more volatile species) and B, issupplied to the apparatus in the following figure. F e e d FS t i l l p o tH e a tB o t t o m s WV a p o r VC o n d e n s e rR e f l u x RD i s t i l l a t e DThe condensate is split so that reflux/condensate = 1. (a) If heat is supplied such that W = 30mol/h and relative volatility  = 2.5, determine the mole fraction of A in the bottoms.__________3) The following mixture is fed to a flash drum at 100 psia and 600oRPropane: 30 mol%, KC3 = 2.66 n-pentane: 70 mol%, KC5 = 0.364F = ∑( Ki− 1) xiFf ( Ki− 1 )+1a) Determine dFdfat f = 0.4 ___________b) Solve F = ∑( Ki−1) xiFf ( Ki−1)+1 = 0 using Newton method with the initial guess f = 0.5 anddFdf=  0.8556. Only 1 iteration is required.4) A feed liquid mixture of acetone (A) and water is available at 125oC and 687 kPa and contains57 mol% A. Before entering the distillation tower, the feed passes through an expansion valveand is partially vaporized at 61oC and 101.3 kPa. From the data below, determine the vaporfraction in the feed.Equilibrium data for acetone-H2O at 101.3 kPaT(oC)56.7 57.1 60.0 61.0 63.0 71.7 100Mol% A in liquid 100 92.0 50.0 33.0 17.6 6.8 0Mol% A in vapor 100 94.4 85.0 83.7 80.5 69.2 0________5) A liquid containing 60 mol% toluene and 40 mol% benzene (the more volatile species) is continuously distilled in a single equilibrium stage at 1 atm. Assume a relativity volatility of 2.2. The vapor fraction is 0.3.a) Determine the percent of benzene in the feed leaves as vapor. ________b) Determine the percent of toluene in the feed leaves as liquid. _________6) A liquid containing 50 mol% toluene and 50 mol% benzene (the more volatile species) is continuously distilled in a single equilibrium stage at 1 atm. Assume a relativity volatility of 2.4. The vapor fraction is 0.4.Determine the percent of toluene in the feed leaves as vapor. ________7) A distillation column with 100 kmol/h feed of 60% A and 40% B produces a distillate productwith xD = 0.98 and a bottom stream with xbot = 0.02 of the more volatile species A. CMO is validand the equilibrium data is given byy = 2.21 1.2xx+a) For total reflux, determine (numerically) the composition (y) of the vapor stream entering thesecond equilibrium plate counting from the top. __________b) For total reflux, determine (numerically) the composition (y) of the vapor stream leaving the bottom equilibrium plate (above the reboiler). __________8) A distillation column with 100 kmol/h feed of 60% A and 40% B produces a distillate productwith xD = 0.98 and a bottom stream with xbot = 0.02 of the more volatile species A. CMO is validand the equilibrium data is given byy = 2.21 1.2xx+a) If the reflux ratio R is 2, determine (numerically) the composition (y) of the vapor stream entering the top equilibrium plate.__________b) If R = 2 and q = 0.6, determine the liquid flow rate in the stripping section of the column__________c) If q = 0, the minimum reflux ratio is___________9) A distillation column receives a feed that is 40 mole % n-pentane and 60 mole % n-hexane.Feed is saturated mixture with q = 0.4 at 2,500 lbmol/hr. The column is at 1 atm. A distillate thatis 97 mole % n-pentane is desired. A total condenser is used. Reflux is a saturated liquid. Theexternal reflux ratio is L0/D = 3. Bottoms from the partial reboiler is 5 mole % n-pentane. Writeyour own Matlab program to determine and plot the minimum number of equilibrium stages. Putyour name on the graph using the title command. Data: Vapor pressure, Psat, data: ln Psat = A  B/(T + C), where Psat is in kPa and T is in K. Compound A B Cn-pentane (1) 13.9778 2554.6  36.2529n-hexane (2) 14.0568 2825.42 