Answer these questions

9'93 . A 150 litre tank has pure water owing into it at 12 litres/min. The contents of the tank are kept thoroughly mixed and the contents ow out at 10 litres/min. Initially the tank contains lOkgs of salt in 100 litres of water. Draw a sketch of the system (1 mark) Find an expression for the volume of water in the tank related to the variable time \"t" At what time does the tank overow or empty? (2 mark). Find an expression for the concentration of salt in the tank with respect to time concentration is \"kgs of salt" divided by volume (1 mark) . Find an expression for the change in the amount of salt "S" in the tank. (2 mark) dS _ . W_ amount in amount out What is (are) the boundary condition(s) for this differential equation and find the constant of integration? (1 mark) Find the equation for salt in the tank. (0.5 marks) . How much salt is in the tank in kilograms when the tank overows or empties?(0.5)