2. A tank contains 100 kg of salt
and 1000 L of water. A solution of a
concentration 0.05 kg of salt per liter enters a tank at
the rate 10 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) Set up an initial value problem for the quantity y, in kg,
of salt in the tank at time t minutes.
dydt= (kg/min)
y(0)= (kg)
(c) Solve the initial value problem in part (b).
(d) Find the amount of salt in the tank after 1 hours. (kg)
(e) Find the concentration of salt in the solution in the tank
as time approaches infinity. (kg/L)