A charge of 200 kmol of a mixture of 40 mol% A, 50 mol% B, and 10 mol% C, with aA;C = 2:0 and aB;C = 1:5, is to be separated in a batch rectifier with three theoretical stages, including the still pot, 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 after total reflux conditions are established.