In an industrial process to make alcohol, bacteria, sugar, and water are fed into a bioreactor. The.

In an industrial process to make alcohol, bacteria,
sugar, and water are fed into a bioreactor. The bacteria make alcohol out of
the sugar, and the stream leaving the bioreactor contains bacteria, alcohol,
and water as well as leftover sugar. We desire to remove all the cells from the
process stream so we may purify our alcohol product. The process stream enters
a separator where the cellular components are separated from the rest of the
stream. The entering process stream contains 30 wt% alcohol, 5 wt% sugar, 10
wt% cells, and the rest water. Two product streams, a cell-rich stream and a
»

In an industrial process to make alcohol, bacteria,
sugar, and water are fed into a bioreactor. The bacteria make alcohol out of
the sugar, and the stream leaving the bioreactor contains bacteria, alcohol,
and water as well as leftover sugar. We desire to remove all the cells from the
process stream so we may purify our alcohol product. The process stream enters
a separator where the cellular components are separated from the rest of the
stream. The entering process stream contains 30 wt% alcohol, 5 wt% sugar, 10
wt% cells, and the rest water. Two product streams, a cell-rich stream and a
cell-free stream, leave the separator. The cell-rich stream is 90 wt% cells,
2.5 wt% sugar, 0.5 wt% alcohol, and 7 wt% water.

(a)Write out species mass conservation equations for
alcohol, bacteria, sugar, and water. Write a total mass conservation equation.

(b)How many of the mass balance equations are linearly
independent?

(c)Determine the composition of the cell-free stream.

 

»

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