A 1000-liter tank contains 500 L of water with a salt concentration of 10 g/L. Water with
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A 1000-liter tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flows into the tank at a rate of Rin = 80 L/min. The fluid mixes instantaneously and is pumped out at a specified rate Rout. Let y(t) denote the quantity of salt in the tank at time t.
Assume that Rout = 40 L/min.
(a) Set up and solve the differential equation for y(t).
(b) What is the salt concentration when the tank overflows?
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Because water flows into the tank at the rate of 80 Lmin but flows out at the Lmin ther...View the full answer
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