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A perfectly insulated tank of negligible heat capacity contains P lb of brine at T, = 30°F. Hot brine at 100°F runs into the tank at the rate of 3 lb/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 =1 btu/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 = 50 lb, and the amount of heat in the brine at a particular temperature is H=P[c₂(T-To) + ho]. The change in the heat content in the brine during the time interval dt is dH.

A perfectly insulated tank of negligible heat capacity contains P lb of brine at T, = 30°F. Hot brine at 100°F runs into the tank at the rate of 3 lb/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 =1 btu/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 = 50 lb, and the amount of heat in the brine at a particular temperature is H=P[c₂(T-To) + ho]. The change in the heat content in the brine during the time interval dt is dH.

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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-1 attachment- A perfectly insulated tank of negligible heat capacity contains P Ib of brine at T, = 30°F. Hot brine at 100°F runs into the tank at the rate of 3 lb/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 c, =1 btu/lb-°F, find the temperature of the brine in the tank as a function of time. Use h,=1200 btu/lb, initial mass inside the tank P = 50 lb, and the amount of heat in the brine at a particular temperature is H = P[c,(T – T,) + ho]. The change in the heat content in the brine during the time interval dt is dH.
Transcribed Image Text:-1 attachment- A perfectly insulated tank of negligible heat capacity contains P Ib of brine at T, = 30°F. Hot brine at 100°F runs into the tank at the rate of 3 lb/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 c, =1 btu/lb-°F, find the temperature of the brine in the tank as a function of time. Use h,=1200 btu/lb, initial mass inside the tank P = 50 lb, and the amount of heat in the brine at a particular temperature is H = P[c,(T – T,) + ho]. The change in the heat content in the brine during the time interval dt is dH.
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