A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed

[answerhappygod]

A Tank Contains 60 Kg Of Salt And 1000 L Of Water Pure Water Enters A Tank At The Rate 12 L Min The Solution Is Mixed 1 (37.66 KiB) Viewed 10 times

A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) Write an initial value problem for the amount of salt, y, in kilograms, at time t in minutes: dy (kg/min) y(0) = kg. dt (b) Solve the initial value problem in part (a) y(t) = k kg. (c) Find the amount of salt in the tank after 4.5 hours. amount = (kg) (d) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = (kg/L)