process systems analysis and control

5.1. Derive the transfer function H(s)/Q(s) for the liquid-level system of Fig. P5-1 when (a) The tank level operates about the steady-state value of hs=1ft (b) The tank level operates about the steady-state value of hs=3ft The pump removes water at a constant rate of 10cfm (cubic feet per minute); this rate is independent of head. The cross-sectional area of the tank is 1.0ft2, and the resistance R is 0.5ft/cfm. FIGURE P5-1