When operation of a distillation column begins, vapor is generated at the bottom of the column, flows upward through the column, ar leaves the top of the column to be condensed in a heat exchanger. During the startup phase, all of the condensate is allowed to flow back into the top of the column as reflux where it contacts the upward-flowing vapor. When conditions in the column begin to stabilize, a valve controlling the flow of reflux to the column is opened, and a fraction of the condensate is allowed to leave the system as product instead of re-entering the column as reflux. The ratio of the flow rate of condensate returned to the column (reflux) to the product withdrawal rate is 2.15. A mixture of 89.0 mol\% ethanol and the remainder water enters the condenser at a rate of 110.0lbmol/h. The ethanol-water condensate has a density of 49.9lb/ft3. When operated at steady-state conditions, the tank collecting the condensate is half full, and the mean residence time in the tank is 10.0 minutes. Using the following figure as a guide, write a general mass balance around a system consisting of the condenser, condensate tank, and splitter. From the information given, determine a. the product withdrawal rate at steady state lbmol/h b. the volume of the tank in gallons gallons