a) A salt-water tank has pure water flowing into it at 5 L/min.The contents of the tank are kept thoroughly mixed, and thecontents flow out at 5 L/min. Initially, the tank contains 1 kg ofsalt in 10L of water. How much salt will be in the tank after 20minutes? Let ?? represent the amount of salt in the tank at time tand let ?? represent the volume of saltwater in the tank at timet.
b) Now assume that salt is added into the tank at a rate of 0.1kg/min with pure water still flowing into it at 5 L/min. Thecontents of the tank are kept thoroughly mixed, and the contentsflow out at 5 L/min. Initially, the tank contains 1 kg of salt in10L of water. How much salt will be in the tank after 20minutes?
