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MMLU-Pro / 11429 / Brine containing 20% salt by mass flows into a well- stirred tankat a rate of 20…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Brine containing 20% salt by mass flows into a well- stirred tankat a rate of 20 kg/min. The tank ini-tially contains 1000 kg of brine containing 10% salt by mass, and the resultingsolution leaves the tank at a rate of 10 kg/min. Findan expression for the amount of salt in terms of time \texttheta.

category

engineering

options

  1. S = [(3θ^2 + 300θ + 9000) / (100 + θ)]
  2. S = [(2θ^2 + 200θ + 10000) / (50 + θ)]
  3. S = [(2 exttheta^2 + 400 exttheta + 5000) / (100 + exttheta)]
  4. S = [(4θ^2 + 200θ + 10000) / (100 + θ)]
  5. S = [(3 exttheta^2 + 400 exttheta + 10000) / (100 + exttheta)]
  6. S = [(2 exttheta^2 + 300 exttheta + 10000) / (100 + exttheta)]
  7. S = [(2θ^2 + 500θ + 10000) / (200 + θ)]
  8. S = [(2θ^2 + 300θ + 12000) / (150 + θ)]
  9. S = [(θ^2 + 300θ + 8000) / (100 + θ)]
  10. S = [(2 exttheta^2 + 400 exttheta + 10000) / (100 + exttheta)]

src

stemez-TransportPhenomena

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Source and history

upstream_id / Original problem ID
11429
task_id
17f4ea83-a809-5539-95bd-9e4bf1ae7a17
task_key
default--test--11429
task_revision_id
1
config / split
default / test

Official source

initial import