Answer:
The number A(t) of grams of salt in the tank at time t is
Explanation:
Knowing
First we have to find the Rin and Rout
Rin = (concentration of the salt inflow) * (input rate of brine)
Rin = 1 g/L * 3 L/min = 3 g/L
Rout = (concentration of the salt outflow) * (output rate of brine)
Rout = () * (3 L/min) =
Substituting this results
= 3 - -->
Thus, integration factors is
A(t) = 4
Applying the initial conditions
A(0) = 40
c = 150 - 40 = 110
Now, substitute this result in the solution to get