Problem Statement. Develop a dynamic model of a level in the tank shown in Figure 3.5.9. The process parameters and variables are given by - Ac-cross-sectional area of the tank (0.3m2) - L - the level of liquid in the tank (initially 2 meters) - Fim - the mass flow rate of liquid into the tank (1.0kg/s) - Fout - the mass flow rate of liquid leaving the tank (initially 1.0kg/s ) - t - time (s) - - the fluid density (1kg/) - y - the time constant for the control valve on Fow(5s), Figure 3.5.9 Schematic of a level in a tank At time equal to 10 seconds, the specified value of Fout is process. changed from 1.0 to 0.9kg/s. The dynamics of the level sensor are assumed instantaneous