Answer Happy

A tank contains 60 kg of salt and 2000 L of water. A solution of a concentration 0.015 kg of salt per liter enters a tank at the rate 9 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 = 0.03 (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank at time t minutes. dy 9y 0.015.9 - (kg/min) y(0) = 60 (kg) 2000 dt (c) Solve the initial value problem in part (b). y(t) (d) Find the amount of salt in the tank after 4.5 hours. amount = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L)