20. In the PFD given below components A (CH,OH), B (C,H,OH) and C (C,H,OH) are separated in a distillation column. (kg A/h) 2000 (kg/h) 0.03 kg B/kg 0.97 kg C/kg 1200 kg/h 0.70 kg A/kg y (kg B/kg) z (kg C/kg) 5300 kg/h *, (kg A/kg) y (kg B/kg) (kg/h) 0.60 kg B/kg 0.40 kg C/kg (a) How many molecular species are there? (b) How many unknowns are there? (c) How many equations relating the unknown variables are there? (d) How many degrees of freedom are there? lf Stream 2 is specified to have a mass fraction of 0.49 kg CH,OH/kg of mixture you can now prepare a balanced flow sheet. Why? (0) Solve for all of the unknowns. (9) Convert the mass fractions of stream 4 to mole fractions. 21. Xylene (CHO P = 704 kg/m) is flowing in a pipe with a diameter of 100 mm at a velocity of 2.2 m/s. (a) Calculate the volumetric flow rate in m/s. (6) Calculate the mass flow rate in kg/s. (c) Calculate the molar flow rate in mol/s. (d) The 100 mm pipe is joined to two smaller pipes with diameters of 25 mm and 50 mm respectively. If the velocity of the n-Octane in the smaller pipe is 1.5 m/s what is the fluid velocity in the larger pipe. (e) What are the volumetric flows for the two pipes in (d) above. (9 The 25 mm diameter pipe discharges into a 10mtank. Calculate the time it would take to fill the tank. Density of solution (10 kg/m) Volume% Ethanol Densities of Ethanol-Water Solutions at 20C Density of Weight % Volume% solution Weight % Ethanol Ethanol (10 kg/m) Ethanol 0 0 0.91322 51 1 13 0.91097 52 2 2.5 0.90872 53 3 38 0.90645 4 5 0.90418 55 5 62 0.90191 56 6 75 0.89962 57 7 8.7 0.89733 58 8 10 0.89502 59 9 112 0.89271 60 10 124 0.8904 61 11 13.6 0.88807 62 12 14.8 0.88574 63 13 16.1 0.88339 64 14 17.3 0.88104 65 15 185 0.87869 66 16 19.7 0.87632 67 17 20.9 0.87396 68 18 221 0.87158 69 19 23.3 0.8692 70 20 24,5 0.8668 71 21 257 0.8644 72 22 28.9 0.862 73 23 28.1 0.85958 74 24 29.2 0.85716 75 25 304 0.85473 76 26 31.5 0.1523 77 27 32.7 0.84985 78 28 339 0.8474 79 29 351 0.84494 80 30 36.2 0.84245 81 31 374 0.83997 82 32 38.5 0.83747 33 39.6 0.83496 84 34 40.7 0.83242 85 35 41.9 0.82987 86 36 0.82729 87 37 441 0.82469 88 38 452 0.82207 89 39 463 081942 90 40 47.4 081674 91 41 4843 0.81401 92 42 49.51 081127 33 43 505 080848 94 44 51.6 080567 95 45 526 08028 96 46 537 0.79988 97 47 547 0.79688 98 48 958 0.79383 99 49 36,8 0.790974 100 50 578 0.99813 0.99629 0.99451 099279 0.99113 098955 098802 0.98653 0.98505 098361 098221 9.98084 0.97948 0.979448 9.97687 0.97687 0.97431 0.97301 0.97169 0.97036 096901 0.96763 0.96624 0.95483 0.96339 0.9619 0.00037 09588 0.95717 0.95551 0.95381 0.95207 0.95028 0.94347 0.94662 0.94432 0.94281 0.94086 0.93886 093548 0.93479 0.93272 0.93062 092849 092636 0.92421 092204 091986 0.91766 0.91546 598 80.8 618 628 638 548 658 668 677 68.6 699 705 715 724 73.3 742 75.1 76 76.9 778 786 79.5 B04 812 82.1 838 84.6 85.4 862 871 879 88.7 895 90.2 91 91.8 925 932 94 947 954 96.1 967 974 98.1 987 993 100