4. A perfectly insulated tank of negligible heat capacity contains P lb of brine at J-30°F. Hot brine at 100°F runs into the tank at the rate of 3lb/min, and the brine in the tank, brought instantly to uniform, temperature throughout by vigorous stirring, runs out at the same rate. If the specific heat of the brine is Cp=1btu/lb-F, find the temperature of the brine in the tank as a function of time Use ho= 1200 btu/lb, initial mass inside the tank P-50lb, and the amount of heat in the brine at a particular temperature is H=P[Cp(T-T.)+ho]. The change in the heat content in the brine during the time interval dt is dH
4. A perfectly insulated tank of negligible heat capacity contains P lb of brine at J-30°F. Hot brine at 100°F runs into the tank at the rate of 3lb/min, and the brine in the tank, brought instantly to uniform, temperature throughout by vigorous stirring, runs out at the same rate. If the specific heat of the brine is Cp=1btu/lb-F, find the temperature of the brine in the tank as a function of time Use ho= 1200 btu/lb, initial mass inside the tank P-50lb, and the amount of heat in the brine at a particular temperature is H=P[Cp(T-T.)+ho]. The change in the heat content in the brine during the time interval dt is dH
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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4. Show the step-by-step process. Do not use shortcut methods. Make it as detailed as it can be.
ENCODE THE ANSWER.
![4. A perfectly insulated tank of negligible heat capacity contains P Ib of brine at Jg=30°F. Hot brine
at 100°F runs into the tank at the rate of 3lb/min, and the brine in the tank, brought instantly to
uniform, temperature throughout by vigorous stirring, runs out at the same rate. If the specific heat
of the brine is Cp=1btu/lb-F, find the temperature of the brine in the tank as a function of time Use
ho= 1200 btu/lb, initial mass inside the tank P=50lb, and the amount of heat in the brine at a
particular temperature is H=P[Cp(T-To)+h«]. The change in the heat content in the brine during the
time interval dt is dH.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3530b4a0-10c2-4137-a405-78a299826fc5%2F91a11580-ae19-4d4f-9d37-6cf74cdd1ff8%2Fxvrmmb_processed.png&w=3840&q=75)
Transcribed Image Text:4. A perfectly insulated tank of negligible heat capacity contains P Ib of brine at Jg=30°F. Hot brine
at 100°F runs into the tank at the rate of 3lb/min, and the brine in the tank, brought instantly to
uniform, temperature throughout by vigorous stirring, runs out at the same rate. If the specific heat
of the brine is Cp=1btu/lb-F, find the temperature of the brine in the tank as a function of time Use
ho= 1200 btu/lb, initial mass inside the tank P=50lb, and the amount of heat in the brine at a
particular temperature is H=P[Cp(T-To)+h«]. The change in the heat content in the brine during the
time interval dt is dH.
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