The two-tank heating process shown below consists of two identical, well-stirred tanks in series. A flow of heat can enter tank 2. At time t = 0, the flow rate of heat to tank 2 suddenly increases according to a step function to 100 kW and the temperature of the inlet water Ti drops from 40 to 32 C according to a step function. These changes in heat flow and inlet water temperature occur simultaneously. Determine T2 in C when time approaches infinity. Initially, Ti = T1 = T2 = 40 C and q = 0. The following data apply: w = 250 kg/min Holdup volume of each tank = 5 m3 Density of fluid = 1000 kg/m3 Heat capacity of fluid is 4.184 kJ/(kg · C) DV Tank 1 Tank 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
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The two-tank heating process shown below consists of two
identical, well-stirred
tanks in series. A flow of heat can enter tank 2. At time t =
0, the flow rate of heat to tank 2
suddenly increases according to a step function to 100 kW,
and the temperature of the
inlet water Ti drops from 40 to 32 C according to a step
function. These changes in heat flow
and inlet water temperature occur simultaneously.
Determine T2 in C when time approaches infinity.
Initially, Ti = T1 = T2 = 40 C and q = 0. The following data
apply:
w = 250 kg/min
Holdup volume of each tank =
= 5 m3
Density of fluid = 1000 kg/m3
Heat capacity of fluid is 4.184 kJ/(kg • C)
T₁
DU
Tank 1
Tank 2
Transcribed Image Text:The two-tank heating process shown below consists of two identical, well-stirred tanks in series. A flow of heat can enter tank 2. At time t = 0, the flow rate of heat to tank 2 suddenly increases according to a step function to 100 kW, and the temperature of the inlet water Ti drops from 40 to 32 C according to a step function. These changes in heat flow and inlet water temperature occur simultaneously. Determine T2 in C when time approaches infinity. Initially, Ti = T1 = T2 = 40 C and q = 0. The following data apply: w = 250 kg/min Holdup volume of each tank = = 5 m3 Density of fluid = 1000 kg/m3 Heat capacity of fluid is 4.184 kJ/(kg • C) T₁ DU Tank 1 Tank 2
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