The two-tank heating process shown in Fig. 1 consists of two identical, well-stirred tanks in series. A flowof heat can enter tank 2. At time t=0, the flow rate of heat to tank 2 suddenly increases according to a stepfunction to 1,000 Btu/min, and the temperature of the inlet water Ti drops from 60 ⁰F to 52 ⁰F according toa step function. These changes in heat flow and inlet water temperature occur simultaneously.(a) Develop a block diagram that relates the outlet temperature of tank 2 to the inlet temperature to tank 1and the flow of heat to tank 2.(b) Obtain an expression for T2/(s) where T2/is the deviation in the temperature of tank 2. This expressionshould contain numerical values of the parameters.(c) Determine T2/(t) and T2 (α).(d) Sketch the response T2/(t) versus t.Initially, Ti=T1=T2= 60 ⁰F and q=0. The following data apply: w=250 lb/min Holdup volume of eachtank=5 ft3 Density of fluid=50 lb/ft3 Heat capacity of fluid=1 Btu/(lb·⁰F). 1. The two-tank heating process shown in Fig. 1 consists of two identical, well-stirred tanks in series. A flowof heat can enter tank 2. At time t=0, the flow rate of heat to tank 2 suddenly increases according to a stepfunction to 1,000 Btu/min, and the temperature of the inlet water Ti drops from 60 "F to 52 °F according toa step function. These changes in heat flow and inlet water temperature occur simultaneously.(a) Develop a block diagram that relates the outlet temperature of tank 2 to the inlet temperature to tank 1and the flow of heat to tank 2.(b) Obtain an expression for T2(s) where Ty is the deviation in the temperature of tank 2. This expressionshould contain numerical values of the parameters.(c) Determine T? (t) and T2 (a).(d) Sketch the response T2(t) versus t.Initially, T=Ti=T2= 60 °F and q=0. The following data apply: w-250 lb/min Holdup volume of eachtank=5 ft' Density of fluid=50 lb/ft' Heat capacity of fluid=1 Btu/(lb-F).TT,Tank 1Tank 2Fig. 1: Two tank heating process.

a. Applying energy balance, we can write, input - output = accumulation WCTi-To-WC(T1-To)=ρCVdT1dt…

Answered: 1. The two-tank heating process shown…

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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The two-tank heating process shown in Fig. 1 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 1,000 Btu/min, and the temperature of the inlet water Ti drops from 60 ⁰F to 52 ⁰F according to
a step function. These changes in heat flow and inlet water temperature occur simultaneously.
(a) Develop a block diagram that relates the outlet temperature of tank 2 to the inlet temperature to tank 1
and the flow of heat to tank 2.
(b) Obtain an expression for T2
/
(s) where T2
/
is the deviation in the temperature of tank 2. This expression
should contain numerical values of the parameters.
(c) Determine T2
/
(t) and T2 (α).
(d) Sketch the response T2
/
(t) versus t.
Initially, Ti=T1=T2= 60 ⁰F and q=0. The following data apply: w=250 lb/min Holdup volume of each
tank=5 ft3 Density of fluid=50 lb/ft3 Heat capacity of fluid=1 Btu/(lb·⁰F).

1. The two-tank heating process shown in Fig. 1 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 1,000 Btu/min, and the temperature of the inlet water Ti drops from 60 "F to 52 °F according to
a step function. These changes in heat flow and inlet water temperature occur simultaneously.
(a) Develop a block diagram that relates the outlet temperature of tank 2 to the inlet temperature to tank 1
and the flow of heat to tank 2.
(b) Obtain an expression for T2(s) where Ty is the deviation in the temperature of tank 2. This expression
should contain numerical values of the parameters.
(c) Determine T? (t) and T2 (a).
(d) Sketch the response T2(t) versus t.
Initially, T=Ti=T2= 60 °F and q=0. The following data apply: w-250 lb/min Holdup volume of each
tank=5 ft' Density of fluid=50 lb/ft' Heat capacity of fluid=1 Btu/(lb-F).
T
T,
Tank 1
Tank 2
Fig. 1: Two tank heating process.

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