A tank contains 70 kg of salt and 1000 L of water. A solution of a concentration

Question

A tank contains 70 kg of salt and 1000 L of water. A solution of a concentration 0.035 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 1 hours.
amount = _______ (kg)

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

Explanation / Answer

a. concentration of salt initially=70/1000=0.070 kg/l

b.after 1 hour, amount of liquid added=9*60=540

hence, concentration of salt=((540*0.035)+70)/1540=0.0577 kg/l

c. as t tconcentration of saltnds to infinity, concentration of salt=0.035 kg/l

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