A tank originally contains 5 lb of salt dissolved in 200 gal of water: Starting at time t=0, a salt solution containing 0.10 lb/gal is to be pumped into the tank at a constant rate and the well-stirred mixture is to flow out of the tank at the same rate.
a)The pumping is to be done so that the tank contains 15 lb of salt after 20 min of pumping. At what rate must the pumping occur in order to achieve this objective?
b)Suppose the objective is to have 25 lb of salt in the tank after 20 min. Is it possible to achieve this objective?