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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 h = 1 ft q, ft³/min h() 2ft FIGURE P5-1 % (ft³/min) 2.4 1.0 Outlet flow R (b) The tank level operates about the steady-state value of h, = 3 ft The pump removes water at a constant rate of 10 cfm (cubic feet per minute); this rate is inde- pendent of head. The cross-sectional area of the tank is 1.0 ft², and the resistance R is 0.5 ft/cfm. 5.2. A liquid-level system, such as the one shown in Fig. 5-1, has a cross-sectional area of 3.0 ft². The valve characteristics are 9-8√h where q = flow rate, cfm, and level above the valve, ft. Calculate the time constant for this system if the average operating level above the valve is (a) 3 ft (b) 9ft

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 h = 1 ft q, ft³/min h() 2ft FIGURE P5-1 % (ft³/min) 2.4 1.0 Outlet flow R (b) The tank level operates about the steady-state value of h, = 3 ft The pump removes water at a constant rate of 10 cfm (cubic feet per minute); this rate is inde- pendent of head. The cross-sectional area of the tank is 1.0 ft², and the resistance R is 0.5 ft/cfm. 5.2. A liquid-level system, such as the one shown in Fig. 5-1, has a cross-sectional area of 3.0 ft². The valve characteristics are 9-8√h where q = flow rate, cfm, and level above the valve, ft. Calculate the time constant for this system if the average operating level above the valve is (a) 3 ft (b) 9ft

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Please solve 5.2 (a) and (b)

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 h = 1 ft q, ft³/min h() 2ft FIGURE P5-1 % (ft³/min) 2.4 1.0 Outlet flow R (b) The tank level operates about the steady-state value of h, = 3 ft The pump removes water at a constant rate of 10 cfm (cubic feet per minute); this rate is inde- pendent of head. The cross-sectional area of the tank is 1.0 ft², and the resistance R is 0.5 ft/cfm. 5.2. A liquid-level system, such as the one shown in Fig. 5-1, has a cross-sectional area of 3.0 ft². The valve characteristics are 9-8√h where q = flow rate, cfm, and level above the valve, ft. Calculate the time constant for this system if the average operating level above the valve is (a) 3 ft (b) 9ft
Transcribed Image Text: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 h = 1 ft q, ft³/min h() 2ft FIGURE P5-1 % (ft³/min) 2.4 1.0 Outlet flow R (b) The tank level operates about the steady-state value of h, = 3 ft The pump removes water at a constant rate of 10 cfm (cubic feet per minute); this rate is inde- pendent of head. The cross-sectional area of the tank is 1.0 ft², and the resistance R is 0.5 ft/cfm. 5.2. A liquid-level system, such as the one shown in Fig. 5-1, has a cross-sectional area of 3.0 ft². The valve characteristics are 9-8√h where q = flow rate, cfm, and level above the valve, ft. Calculate the time constant for this system if the average operating level above the valve is (a) 3 ft (b) 9ft
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