1) Develop a dynamic model for the tank levels using material balance. Estimate the valve parameters ki and k2 using the steady state operation data The cross sectional areas of tanks 1 and 2 are 289 cm2 and 144 cm2 respectively. The water flow rate (Q) through a valve is proportional to the square root of the pressure drop across the valve (P).ie. Q= k VP. If the pressure is measured as height of water in cm, then the unit of k is cm25/s. H Valve 1 . Valve 2 Tank 1 Tank 2 The following table shows a set of steady state process operation data H (cm) Hem) 6.15 2.52 1281 5.67 20.02 8.57 20.07 10.17 270 15.4 2+ (cm) 55.6 753 92.5 94.3 104.0