Ask Your Teacher A tank contains 350 liters of fluid in which 10 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

Step-by-step explanation:

Given that a tank contains 350 liters of fluid in which 10 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min

the well-mixed solution is pumped out at the same rate.

Let A(t) be the grams of salt at time t.

Then A(0) = 10 gm

Inflow of fluid = outflow of fluid = 5l/min

So volume of tank at time t = 350 litres

Rate of change of salt = A'(t) = incoming rate - outgoing rate

= 0-

i.e.

Use the fact that when t =0, A = 10

P = 10

So we get

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step-by-step explanation: