2. Suppose Tank A containing vo L of pure water. A brine solution with 2 kg L1 of salt enters the tank at a rate of 2 L min¹. The tank is well stirred, and the concentration of the mixture leaving where x(t) is the amount of salt dissolved in Tank A at time t. the tank is given as (a) x(t) 1000-2t' Find the function of the amount of salt dissolved, x(t), in Tank A at time t. (12 Marks) (b) Show that the concentration of the salt in Tank A is t kg L'. What is the amount and concentration of salt dissolved in the tank after 1.5 hours? 250 (5 marks) (c) (d) Will the tank be empty if given enough time? State your reason. If yes, find when the tank will be empty. (3 Marks) Suppose the brine solution leaving Tank A is entering an open Tank B of 1000 L in volume, where it is half-filled with a brine solution containing 50 kg of salt dissolved in it. If the brine exit rate of Tank B is half of its enter rate, show that the amount of salt in Tank B, y(t), just before the tank spills out is 441 kg. (12 Marks)