A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration

Question

A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 00125 kg of salt per liter enters a tank at the rate 9 L/min. The solution is mixed and drains from the tank at the same rate.

(a) What is the concentration of our solution in the tank initially?
concentration = (kg/L)

(b) Find the amount of salt in the tank after 4 hours.
amount = (kg)

(c) Find the concentration of salt in the solution in the tank as time approaches infinity.
concentration = (kg/L)

Note: You can earn partial credit on this problem.

Explanation / Answer

Looks like webwork? (a) 50 kg/2000 L = 1/40 kg/L (b) x(4) = 2000( 0.0125 + (50/2000 - 0.0125) exp(-36/2000)) = 49.55 kg (c) as time goes to infinity, x approaches 2000*0.0125 = 25 kg, so the concentration is exactly the concentration entering, 0.0125 kg/L

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