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Q14/ The caustic concentration of the mixing tank shown in Fig. E5.20 is measured using a conductivity cell. The total volume of solution in the tank is constant at 7 ft3 and the density (p = 70 lb/ft3) can be considered to be independent of concentration. Let cm denote the caustic concentration measured by the conductivity cell. The dynamic response of the conductivity cell to a step change (at t = 0) of 3 Ib/ft3 in the actual concentration (passing through the cell) is also shown in Fig. E5.20. %3D w1 C2 Cm (Ib/ft³) Cm AT 15 30 Time (s) Figure E5.20 (a) Determine the transfer function C'm (s)C'1 (s) assuming that the flow rates are equal and constant: (w1 = w2 = 5 lb/min). (b) Find the response for a step change in c1 from 14 to 17 Ib/ft3. (c) If the transfer function C'm(s)C'(s) were approximated by 1 (unity), what would be the step response of the system for the same input change? %3D

Q14/ The caustic concentration of the mixing tank shown in Fig. E5.20 is measured using a conductivity cell. The total volume of solution in the tank is constant at 7 ft3 and the density (p = 70 lb/ft3) can be considered to be independent of concentration. Let cm denote the caustic concentration measured by the conductivity cell. The dynamic response of the conductivity cell to a step change (at t = 0) of 3 Ib/ft3 in the actual concentration (passing through the cell) is also shown in Fig. E5.20. %3D w1 C2 Cm (Ib/ft³) Cm AT 15 30 Time (s) Figure E5.20 (a) Determine the transfer function C'm (s)C'1 (s) assuming that the flow rates are equal and constant: (w1 = w2 = 5 lb/min). (b) Find the response for a step change in c1 from 14 to 17 Ib/ft3. (c) If the transfer function C'm(s)C'(s) were approximated by 1 (unity), what would be the step response of the system for the same input change? %3D

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
Section: Chapter Questions
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Q14/ The caustic concentration of the mixing tank shown in Fig. E5.20 is measured using a conductivity cell. The total volume of solution in the tank is constant at 7 ft3 and the density (p = 70 lb/ft3) can be considered to be independent of concentration. Let cm denote the caustic concentration measured by the conductivity cell. The dynamic response of the conductivity cell to a step change (at t = 0) of 3 Ib/ft3 in the actual concentration (passing through the cell) is also shown in Fig. E5.20. %3D w1 w2 C2 Cm 2 (Ib/ft³) Ст AT 1 w 15 30 Time (s) Figure E5.20 (a) Determine the transfer function C'm (s)C'1 (s) assuming that the flow rates are equal and constant: (w1 = w2 = 5 Ib/min). (b) Find the response for a step change in c1 from 14 to 17 Ib/ft3. (c) If the transfer function C'm(s)C'(s) were approximated by 1 (unity), what would be the step response of the system for the same input change? %3D
Transcribed Image Text:Q14/ The caustic concentration of the mixing tank shown in Fig. E5.20 is measured using a conductivity cell. The total volume of solution in the tank is constant at 7 ft3 and the density (p = 70 lb/ft3) can be considered to be independent of concentration. Let cm denote the caustic concentration measured by the conductivity cell. The dynamic response of the conductivity cell to a step change (at t = 0) of 3 Ib/ft3 in the actual concentration (passing through the cell) is also shown in Fig. E5.20. %3D w1 w2 C2 Cm 2 (Ib/ft³) Ст AT 1 w 15 30 Time (s) Figure E5.20 (a) Determine the transfer function C'm (s)C'1 (s) assuming that the flow rates are equal and constant: (w1 = w2 = 5 Ib/min). (b) Find the response for a step change in c1 from 14 to 17 Ib/ft3. (c) If the transfer function C'm(s)C'(s) were approximated by 1 (unity), what would be the step response of the system for the same input change? %3D
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