Question

A tank starts with 1L of pure water. A mixture with 4g/L of sugar flows into the tank at a rate of 2L/min . The well-stirred mixture flows out at a rate of 1L/min. Determine the amount of sugar in the tank as a function of time. How long does it take the concentration of sugar in the tank to reach 3g/Lit?

Answer 1

Answer:

From the given information:

Let y(t) be the amount of sugar in tank A at any time.

Then, the rate of change of sugar in the tank is given by:

The rate of the sugar coming into the tank is 0

Initial amount of sugar = 25 Pounds

Now; y(0) = 25

25 = Ce⁰

C = 25

So;  y(t) = 25

Thus, the amount of sugar at any time t =

B) For tank B :

Step-by-step explanation:

Hope this helps:)  ジョセフ