Homework Help is Here – Start Your Trial Now!
Engineering
Chemical Engineering
A thermocouple is known to have first-order dynamics represented by the following transfer function. Tm' (s) 1.00 T'(s) 4s +1 where Tm = thermocouple temperature measurement (C). Tis the actual temperature (C), and the time constant is given in seconds. he thermocouple is initially sitting in a pot of boiling water when it is picked up by a student and placed in a bucket full f ice and water at equilibrium. a) What is the thermocouple temperature measurement 4 seconds after being placed into the bucket of ice and water? b) How long will it take for the temperature measurement to reach steady-state? c) What is its final steady-state measurement? d) Your instrumentation vendor is proposing you replace this thermocouple with one that has the transfer function: Tm'(s) 1.10 T'(s) 0.4s + 1 Should you consider buying this new thermocouple to replace the old one above? Give your reasons for your decision.

A thermocouple is known to have first-order dynamics represented by the following transfer function. Tm' (s) 1.00 T'(s) 4s +1 where Tm = thermocouple temperature measurement (C). Tis the actual temperature (C), and the time constant is given in seconds. he thermocouple is initially sitting in a pot of boiling water when it is picked up by a student and placed in a bucket full f ice and water at equilibrium. a) What is the thermocouple temperature measurement 4 seconds after being placed into the bucket of ice and water? b) How long will it take for the temperature measurement to reach steady-state? c) What is its final steady-state measurement? d) Your instrumentation vendor is proposing you replace this thermocouple with one that has the transfer function: Tm'(s) 1.10 T'(s) 0.4s + 1 Should you consider buying this new thermocouple to replace the old one above? Give your reasons for your decision.

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
See similar textbooks
icon
Related questions
Question

Process Dynamic and Control Question

**Transcription for Educational Website** A thermocouple is known to have first-order dynamics represented by the following transfer function: \[ \frac{T_m'(s)}{T'(s)} = \frac{1.00}{4s + 1} \] where \( T_m \) = thermocouple temperature measurement (°C), \( T \) is the actual temperature (°C), and the time constant is given in seconds. The thermocouple is initially sitting in a pot of boiling water when it is picked up by a student and placed in a bucket full of ice and water at equilibrium. a) What is the thermocouple temperature measurement 4 seconds after being placed into the bucket of ice and water? b) How long will it take for the temperature measurement to reach steady-state? c) What is its final steady-state measurement? d) Your instrumentation vendor is proposing you replace this thermocouple with one that has the transfer function: \[ \frac{T_m'(s)}{T'(s)} = \frac{1.10}{0.4s + 1} \] Should you consider buying this new thermocouple to replace the old one above? Give your reasons for your decision.
Transcribed Image Text:**Transcription for Educational Website** A thermocouple is known to have first-order dynamics represented by the following transfer function: \[ \frac{T_m'(s)}{T'(s)} = \frac{1.00}{4s + 1} \] where \( T_m \) = thermocouple temperature measurement (°C), \( T \) is the actual temperature (°C), and the time constant is given in seconds. The thermocouple is initially sitting in a pot of boiling water when it is picked up by a student and placed in a bucket full of ice and water at equilibrium. a) What is the thermocouple temperature measurement 4 seconds after being placed into the bucket of ice and water? b) How long will it take for the temperature measurement to reach steady-state? c) What is its final steady-state measurement? d) Your instrumentation vendor is proposing you replace this thermocouple with one that has the transfer function: \[ \frac{T_m'(s)}{T'(s)} = \frac{1.10}{0.4s + 1} \] Should you consider buying this new thermocouple to replace the old one above? Give your reasons for your decision.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The
SEE MORE TEXTBOOKS