A 1000 liter tank initially contains 200 liters of pure water. Contaminated water with a concentration of 10 gm/liter flows into the tank at a rate of 6 liter/hr and a well- mixed solution flows out at a rate of 4 liter/hr. Find: The volume in the tank at any time t. The time when the tank will overflow. The amount of contaminant in the tank at any time t.

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 41AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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a) A 1000 liter tank initially contains 200 liters of pure water. Contaminated water with
a concentration of 10 gm/liter flows into the tank at a rate of 6 liter/hr and a well-
mixed solution flows out at a rate of 4 liter/hr. Find:
i)
iii)
The volume in the tank at any time t.
The time when the tank will overflow.
The amount of contaminant in the tank at any time t.
Transcribed Image Text:a) A 1000 liter tank initially contains 200 liters of pure water. Contaminated water with a concentration of 10 gm/liter flows into the tank at a rate of 6 liter/hr and a well- mixed solution flows out at a rate of 4 liter/hr. Find: i) iii) The volume in the tank at any time t. The time when the tank will overflow. The amount of contaminant in the tank at any time t.
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