Suppose a brine containing 0.4kg of salt per liter runs into a tank initially filled with 1000L of water containing 3kg of salt. The brine enters the tank at a rate of 5L/min. The mixture, kept uniform by stirring, is flowing out at the rate of 5L/min. Complete parts (a) and (b). (a) Find the concentration, in kilograms per liter, of salt in the tank after 10min. [Hint: Let A denote the number of kilograms of salt in the tank at t minutes after the process begins and use the fact that rate of increase in A= rate of input - rate of exit.] The concentration of salt in the tank after 10 min will be kg/L. (Round to four decimal places as needed.) (b) After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank. What will be the concentration, in kilograms per liter, of salt in the tank 10 min after the leak develops? The concentration of salt in the tank 10min after the leak develops will be kg/L. (Round to four decimal places as needed.)