Initia11y. 50 lb of salt is dissolved in a tank containing 300 gal of water. A sa1t solution with 2 lb/gal concentration is poured into the tank at 3 gal / min. The mixture, after stirring, flows from the tank at the same rate the brine is entering the tank.
(a) Find the amount of salt in the tank as a function of time.
(b) Determine the concentration of salt in the tank at any time.
(c) Determine the steady-state amount of salt in the tank.
(d) Find the steady-state concentration of salt in the tank.
(e) Use a graphing calculator or computer to sketch the graphs of the future amount of salt in the tank and the concentration of salt in the tank.