A charge of 200 kmol of a mixture of 40 mol% A, 50 mol% B, and 10 mol% C with αA,C = 2.0 and αB,C = c1.5 is to be separated in a batch rectifier with a total of three theoretical stages and operating at a reflux ratio of 10, with a molar vapor boilup rate of 100 kmol/h. Holdup is negligible. Use the shortcut method to estimate instantaneous-distillate and bottoms compositions as a function of time for the first hour of operation following start-up to achieve total reflux conditions.