Keeping track of information with a table

One thousand kilograms per hour of a mixture containing equal parts by mass of ethanol and water is distilled. Product streams leave the top and the bottom of the distillation column. The flowrate of the bottom stream is measured and found to be 673 kg/h, and the overhead stream is analyzed and found to contain 96 wt% ethanol. Find the flowrates of all components in all streams.

With both of the mass fractions equal to 0.5, we can write:

F_feed,water = F_feed,total * x_feed,water = 1000*0.5 = 500

F_feed,ethanol = F_feed,total * x_feed,ethanol = 1000*0.5 = 500

Let's put both of these values into our table:

Streams\mass flow rate	Total	Ethanol	Water
Feed	1000	500	500
Overhead	327	F_{overhead,ethanol}	F_{overhead,water}
Bottoms	673	F_{bottoms,ethanol}	F_{bottoms,water}

Now, we can go back to the problem statement to find some more mass fractions for the overhead stream.

What is the mass fraction of water in the overhead stream?
What is the mass fraction of ethanol in the oeverhead stream?