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Materials and Energy Balances: Please explain and draw a picture! Solvent S is u

ID: 979555 • Letter: M

Question

Materials and Energy Balances:

Please explain and draw a picture!

Solvent S is used to extract a drug D from ground-up plant matter, but S must be recycled to cut costs. A fresh feed of pure S is joined with a recycle stream containing pure S at a different mass flow rate, and the combined stream is fed into an extractor, where it mixes with 1 kg/min D. The mixture of D and S leaving the extractor is fed to a separator. There are two streams leaving the separator. The first contains a mixture of D and S. The mass of S in this stream is 5% of the total S fed to the extractor. The second stream contains pure S, which is recycled and fed back to a point upstream of the extractor. If the stream directly into the extractor is 100 kg S/min, how much S must be fed into the process to maintain steady-state?

answer choices:

5 kg/min

10 kg/min

20 kg/min

50 kg/min

100 kg/min

200 kg/min

not enough information to be determined

Explanation / Answer

S extracts D

S---->D

S is recycled to cut cost.

S------>s

Mixture of D and S ---> 1 kg/min

The mass of S in first stream ---> 5%

The mass of S in second stream -----> 95%

The S in direct stream ---> 100 kg/min.

Steady state S --->?

Steady state, S = 100 kg/min x 5% = 5 kg/min