1b It has been determined that the dynamic behavior of a pressure sensing system can be expressed by a first-order transfer function that relates the measured pressure value (Pm) to the actual pressure (P) value: Pm (s) Kp P'(s) TS + 1 = The unit of Pm' and P' is lb/in^2. The process gain (steady-state gain) of the system and the time constant are 30 seconds. The alarm sounds when the measured pressure value reaches 45 lb/in^2. The process is initially calm. Calculate when the alarm will sound if the actual pressure suddenly increases from 35 lb/in^2 to 50 lb/in'^2.

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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Kp=2
1 b
It has been determined that the dynamic behavior of a pressure sensing system can be
expressed by a first-order transfer function that relates the measured pressure value (Pm) to the
actual pressure (P) value:
Pm (s)
Kp
P'(s) TS + 1
=
The unit of Pm' and P' is lb/in^2. The process gain (steady-state gain) of the
system and the time constant are 30 seconds. The alarm sounds when the
measured pressure value reaches 45 lb/in^2. The process is initially calm.
Calculate when the alarm will sound if the actual pressure suddenly
increases from 35 lb/in^2 to 50 lb/in'^2.
Transcribed Image Text:1 b It has been determined that the dynamic behavior of a pressure sensing system can be expressed by a first-order transfer function that relates the measured pressure value (Pm) to the actual pressure (P) value: Pm (s) Kp P'(s) TS + 1 = The unit of Pm' and P' is lb/in^2. The process gain (steady-state gain) of the system and the time constant are 30 seconds. The alarm sounds when the measured pressure value reaches 45 lb/in^2. The process is initially calm. Calculate when the alarm will sound if the actual pressure suddenly increases from 35 lb/in^2 to 50 lb/in'^2.
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