(62). (Transient Behavior of a Mixing tank): A tank initiallyholds 80 gal of a brine solution containing 0.125 lb of salt pergallon. At t=0, another brine solution containing 1 lb of salt pergallon is poured into the tank at a rate of 4 gal/min, while thewell-stirred mixture leaves the tank at a rate of 8 gal/min. (a)Formulate a model for describing the transient behavior of the tank(b) Find the amount of salt in the tank when the tank containsexactly 40 gal of the solution.
