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A step change from 15 to 31 psi in actual pressure results in the measured response from a pressure-indicating element shown in the figure below. a) Assuming 2nd order dynamics calculate all important parameters and write an approximate transfer function in the form: R'(s) = K P'(s) s²+25ts+1 where R' is the instrument output deviation (mm), P' is the actual pressure deviation (psi). b) Write an equivalent differential equation model terms of the deviation variables. c) Write an equivalent differential equation model terms of the actual (not deviation) variables. R [mm] 13 12 12.7 11 10 9 2.3 8 11.2 7 0 1 2 3 4 Time [sec] 50 6 7 8

A step change from 15 to 31 psi in actual pressure results in the measured response from a pressure-indicating element shown in the figure below. a) Assuming 2nd order dynamics calculate all important parameters and write an approximate transfer function in the form: R'(s) = K P'(s) s²+25ts+1 where R' is the instrument output deviation (mm), P' is the actual pressure deviation (psi). b) Write an equivalent differential equation model terms of the deviation variables. c) Write an equivalent differential equation model terms of the actual (not deviation) variables. R [mm] 13 12 12.7 11 10 9 2.3 8 11.2 7 0 1 2 3 4 Time [sec] 50 6 7 8

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
Problem 1.1P
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A step change from 15 to 31 psi in actual pressure results in the measured response from a pressure-indicating element shown in the figure below. a) Assuming 2nd order dynamics calculate all important parameters and write an approximate transfer function in the form: R'(s) = K P'(s) s²+25ts+1 where R' is the instrument output deviation (mm), P' is the actual pressure deviation (psi). b) Write an equivalent differential equation model terms of the deviation variables. c) Write an equivalent differential equation model terms of the actual (not deviation) variables.
Transcribed Image Text:A step change from 15 to 31 psi in actual pressure results in the measured response from a pressure-indicating element shown in the figure below. a) Assuming 2nd order dynamics calculate all important parameters and write an approximate transfer function in the form: R'(s) = K P'(s) s²+25ts+1 where R' is the instrument output deviation (mm), P' is the actual pressure deviation (psi). b) Write an equivalent differential equation model terms of the deviation variables. c) Write an equivalent differential equation model terms of the actual (not deviation) variables.
R [mm] 13 12 12.7 11 10 9 2.3 8 11.2 7 0 1 2 3 4 Time [sec] 50 6 7 8
Transcribed Image Text:R [mm] 13 12 12.7 11 10 9 2.3 8 11.2 7 0 1 2 3 4 Time [sec] 50 6 7 8
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