Benzene, 25% by mole toluene, and a liquid mixture containing containing 30% by mole 1) 45% by mole xylene is fed to a distillation column. the bottom product contains 98% by mole xylene and no benzene, and 96% of the xylene in the feed is recovered in this stream. the overhead product from the column is fed to a second distillation column. the overhead product from the second column contains 97% by mole benzene in the feed to this column. the composition of this stream s 94% by mole benzene and the rest toluene. (a) [17 points] draw and label a simple flowchart of this process, and do a degree of freedom analysis to prove that for an assumed basis of calculation, molar flow rates and compositions of all process streams can be calculated from the given information. write in order the equations you would solve to calculate unknown process variables. in each equation (or pair of simultaneous equations), circle the variable(s) for which you would solve. do not perform any calculations. (b) [4 points] calculate the percentage of benzene in the feed to the first distillation column that emerges in the overhead product from the second distillation column 14 points] calculate the percentage of toluene in the feed to the first distillation column that emerges in the bottom product from the second distillation column.