1- Invert the following system to the time domain using partial fraction: 6 (s): s(s+2)(s+4)

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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Home Work 1
1-Invert the following system to the time domain using partial fraction:
f (s) =
6
s(s+2)(s+4)
2- A thermometer having a time constant of 80 second is at steady state temperature of 25 °C.
At time t= 0 the thermometer placed in a temperature hath maintained at 39 °C. Determine the
time needed for the thermometer to read 35 C
3- A mixed tank heater of time constant 7 = 6 min.. Derive a transfer function relating the
tank outlet temperature to changes in the inlet temperature. Determine the response of the outlet
temperature of the tank to step change in inlet temperature
from 60° to 75°°C
4-A thermometer having a time constant of 0.4 min. is placed in a temperature bath and after the
thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly
with time at the rate of 2 deg.Cmin. what is the difference between the indicated temperature and
bath temperature after : (a) 2 min. (b) 20 min.
Transcribed Image Text:Home Work 1 1-Invert the following system to the time domain using partial fraction: f (s) = 6 s(s+2)(s+4) 2- A thermometer having a time constant of 80 second is at steady state temperature of 25 °C. At time t= 0 the thermometer placed in a temperature hath maintained at 39 °C. Determine the time needed for the thermometer to read 35 C 3- A mixed tank heater of time constant 7 = 6 min.. Derive a transfer function relating the tank outlet temperature to changes in the inlet temperature. Determine the response of the outlet temperature of the tank to step change in inlet temperature from 60° to 75°°C 4-A thermometer having a time constant of 0.4 min. is placed in a temperature bath and after the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly with time at the rate of 2 deg.Cmin. what is the difference between the indicated temperature and bath temperature after : (a) 2 min. (b) 20 min.
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