consider the following storage tank shown in fig e5 the volumetric flo

Question

Consider the following storage tank shown in Fig. E.5. The volumetric flow rateare varied with time. The valve used on the outlet flow is linear with resistanceR1 = 0.3. The cross-sectional area of the tank is 3 m?. The height of the liquid inthe tank at steady-state condition h = 4 m. Answer the following: \text { a) Obtain a transfer function relating liquid level with inlet flow rate } \frac{H^{\prime}(S)}{Q_{1}^{\prime}(S)} b) For a step-change in the inlet flow from 3m³/s to 4m³/s, find the final value of the height of the liquid in the tank.