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A well-mixed 200 litre tank contains a salt solution and is flushed with pure water at 10 litres per minute. What fraction of the original salt remains after 20 minutes?

  • A.about 50 per cent
  • B.about 37 per cent
  • C.about 63 per cent
  • D.about 10 per cent

Answer: B

Twenty minutes is exactly one time constant, and the exponential decay leaves the reciprocal of e, which is about thirty-seven per cent. The decay never reaches zero, which is why a washout is specified to a tolerance.

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