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.

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