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Due to algal growth in a water supply reservoir in a neighborhood, the water has acquired an unpleasant taste. The compound is non-degradable, and the water utility has decided that the best way to deal with the situation is simply to flush the contaminant out of the system. The reservoir contains 11,000 m^3 of water, and the proposal is to pump 300 m^3/h of clean water through the system and discharge the effluent to the sewer system until 95% of the offending compound has been removed. If the reservoir is intensely mixed, how much flushing water will be required?

(a) 30, 000 m^3

(b) 33, 000 m^3

(c) 35, 000 m^3

(d) 39, 000 m^3

The question was posed to me in an interview for internship.

My query is from Solving Unsteady topic in division Unsteady – State Material and Energy Balances of Bioprocess Engineering

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Right option is (b) 33, 000 m^3

The explanation is: The compound is non-reactive and therefore behaves as a tracer. The contaminant concentration in the flushing water is zero. When 95% of the contaminant has been flushed out, the concentration will be 5% of the initial concentration, so:

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