Question 3 36 marks A surge tank is illustrated below. The exit section at the bottom of the tank is designed with a slotted weir (V-notch) so that the outlet flowrate Q(t) is proportional to the level of fluid in the tank h(t) to the 1.5 power. Hence Q = Rh15, where R is a constant. The cross- sectional area of the tank is constant and the density p is likewise constant. If a single stream enters the tank at a flow rate of Qi(t), a) Find the transfer function H(s)/Q,(s). b) Identify the process gain and the time constant of the system. (18 marks) (18 marks) Q(t) Weir h(t) Q(t) Outflow Side View