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Problem 45 Easy Difficulty

A tank contains 1000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank (a) after $ t $ minutes and (b) after 20 minutes?

Answer

a) $y=15 e^{-t / 100} \mathrm{kg}$
b) $y \approx 12.28 \mathrm{kg}$

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Video Transcript

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