A distillation column is separating 100.0 kmol/h of a saturated liquid feed that is 30.0 mol% methanol, 25.0 mol% ethanol, 35.0 mol% n-propanol, and 10.0 mol% n-butanol at a pressure of 1.0 atm. The column has a total condenser and a partial reboiler. We want a 986% recovery of n-propanol in the distillate and 99.2% recovery of n-butanol in the bottoms (but realize that this first trial will not provide this amount of separa- tion). Operation is with L/D 5, D = 60, N = 4, and Nfeed-3 (#1 = total condenser, and #4 = partial reboiler). Set up the mass balance matrix Eq. (6-13) for the first trial for n-butanol and then solve. This is a hand calculation a. Use CMO to estimate liquid and vapor flow rates in the column for the first trial. Report these flow rates. b. For a first guess of K values, assume the K values in the column are constant and eqa to those found in a bubble-point calculation for the feed. The K values are (yx)p where yap and xop are from the bubble-point calculation with constant alpha, np Eq. (5-28) in Problem 5.C1. The other K, Knp plete matrix. rates, leaving each stage. c. Calculate all the A, B, C, and D values (but for n-butanol only), and write the com- d. Solve the n-butanol matrix using the Thomas algorithm, and find the n-butanol flow