In order to dilute the acetic acid solution that enters a well-mixed tank at a flow rate of 30kg/ hour, water is added at a flow rate of 150kg /hour. The resulting dilute solution leaves the tank at a flow rate of 120kg/hr. When the process starts, the tank contains 100kg of fresh water and the flow rates remain constant throughout the process. According to this; a. Write the symbolic equations that describe the system dynamics. b. Derive the expression for the variation of the output concentration with time. c. How long should it take for 10% acetic acid concentration at the tank outlet? d. What is the highest acid concentration that can be reached at the tank outlet