Amixture containing 45% benzene (b) and 55% toluene (t) by mass is fed to a distillation column an overhead stream of 95% b is produced, and 8% of the benzene fed to the column leaves in the bottom stream. the feed rate is 2000kg/h. in order to get the overhead flow rate and the mass flow rates of benzene and toluene in the bottom stream;

a. draw material balance diagram (with all given and unknown terms) for this distillation column?

b. show equations needed to solve for the unknown mass flow rates?