Two liquid storage tanks are shown in Figure Q2. For System I, the valve acts with a resistance R = 580 s m-2, so that the relation between the flow

(F)and liquid level in the tank (h) is given by F = hlR. For System II, a pump is used instead of the valve, meaning that variations in liquid level do not affect the exit flow rate. The diameter of each tank is the same, D = 1.1 m. For each system determine the following information and show all your workings: (a) Process gain (Kp) and time constant (7). (b) New steady-state liquid levels in both System I and System II, if the inlet flow rate suddenly changes from 3.0x10-3 m³ s-1 to4.5x10-3 m3 s-1. The initial steady-state level in both systems is 1.8 m. (c) If each tank is 2.4 m tall, which tank overflows first? Calculate when this will happen.