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1 kg/L of brine solution flows into a tank at a rate of 5 L/min. The tank is ini

ID: 2966744 • Letter: 1

Question

1 kg/L of brine solution flows into a tank at a rate of 5 L/min. The tank is initially filled with a volume V of pure water. The solution inside the tank is kept well stirred. Solution flows out of the tank at the same rate of 5 L/min.
Find the amount of brine in the tank at time, t. 1 kg/L of brine solution flows into a tank at a rate of 5 L/min. The tank is initially filled with a volume V of pure water. The solution inside the tank is kept well stirred. Solution flows out of the tank at the same rate of 5 L/min.
Find the amount of brine in the tank at time, t.
Find the amount of brine in the tank at time, t.

Explanation / Answer

s(t) = kgs of salt in the tank at time t minutes.

and we know that
s'(t) = the rate at which the amount of salt in the tank is changing

= (rate of salt going in) ? (rate of salt going out).

The things we have to determine are the