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Mastery Learning - First Law of Thermodynamics & Energy Balance email: email: [email protected] [email protected] Website: http://www5.uitm.edu.my/faculties/fsg/drj j1.html Applied Sciences Education Research Group (ASERG) Faculty of Applied Sciences Universiti Teknologi MARA Voice: 019-455-1621

Mastery Learning - First Law of Thermodynamics & Energy Balance email: [email protected] [email protected] Website:

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Mastery Learning - First Law of Thermodynamics

& Energy Balance

email: email: [email protected]@salam.uitm.edu.my

Website: http://www5.uitm.edu.my/faculties/fsg/drjj1.html

Applied Sciences Education Research Group (ASERG)

Faculty of Applied SciencesUniversiti Teknologi MARA

Voice: 019-455-1621

QuotesQuotes

"One who learns by finding out has sevenfold the skill of the one who learned by being told.“ - Arthur Gutterman

"The roots of education are bitter, but the fruit is sweet." -Aristotle

"The roots of education are bitter, but the fruit is sweet." -Aristotle

Advantages Disadvantages (easily dealt with)

Preparation

• Teachers must state objectives before designating activities

• Requires teachers to do task analysis, thereby becoming better prepared to teach the unit.

• Students progress at different pace; so students who have mastered must wait for those who haven’t or must individualize instruction.

• Must have a variety of materials for re-teaching.

•Teacher must state objectives clearly.

•Teacher must perform task analysis.

Instructional Strategy - Mastery Learning

Advantages Disadvantages Preparation

• Requires teachers to state objectives before designating activities

• Can break cycle of failure (especially important for minority and disadvantaged students)

• Must have several tests for each unit

• If only objective tests are used, can lead to memorizing and learning specifics rather than higher levels of learning

•Teacher must be alert and patient in dealing with the pace of the pupils.

Instructional Strategy - Mastery Learning

First Law of Thermodynamics & Energy Balance –

Control Mass, Open System

email: email: [email protected]@salam.uitm.edu.my

Website: http://www5.uitm.edu.my/faculties/fsg/drjj1.html

Applied Sciences Education Research Group (ASERG)

Faculty of Applied SciencesUniversiti Teknologi MARA

Voice: 019-455-1621

CHAPTER

4

The First Law of Thermodynamics

IntroductionIntroduction

1. Identify the energies causing a system’s properties to change.

2. Identify the energy changes within the system.

3. State the conservation of energy principle.

4. Write an energy balance for a general system undergoing any process.

Objectives:Objectives:

IntroductionIntroduction

5. Write the unit-mass basis and unit-time basis (or rate-form basis) energy balance for a general system undergoing any process.

6. Write the energy balance in terms of all the energies causing the change and all the energy changes within the system.

7. Write a unit-mass basis and unit-time basis (or rate-form basis) energy balance in terms of all the energies causing the change and all the energy changes within the system.

Objectives:Objectives:

IntroductionIntroduction

8. State the conditions for stationary, closed system and rewrite the energy balance and the unit-mass basis energy balance for stationary-closed systems.

9. Apply the energy conservation principle for a stationary, closed system undergoing an adiabatic process and discuss its physical interpretation.

Objectives:Objectives:

IntroductionIntroduction

10.Apply the energy conservation principle for a stationary, closed system undergoing an isochoric, isothermal, cyclic and isobaric process and discuss its physical interpretation.

11.Give the meaning for specific heat and state its significance in determining internal energy and enthalpy change for ideal gases, liquids and solids.

12.Use the energy balance for problem solving.

Objectives:Objectives:

Instructional Plan-MasteryUnit 1:Unit 1:

Objectives:Objectives:

1. Identify the energies causing the system to change.

2. Identify the energy changes within the system.

3. State the conservation of energy principle.

4. Write an energy balance for a general system undergoing any process.

Instructional Plan-MasteryUnit 2:Unit 2:

Objectives:Objectives:5. Write the unit-mass basis and unit-

time basis (or rate-form basis) energy balance for a general system undergoing any process.

6. Write the energy balance in terms of all the energies causing the change and the energy changes within the system.

7. Write a unit-mass basis and unit-time basis (or rate-form basis) energy balance in terms of all the energies causing the change and the energy changes within the system.

Instructional Plan-Diagnose

Preparatory DiagnosticsPreparatory Diagnostics

If P = 100 kPa, T = 25C , determine the phase of water, its specific volume, its specific enthalpy and its specific internal energy.

How can you boil the water? What types of energy can you give to boil it? What is the boiling or saturation temperature?

What is the phase, the specific volume and the specific internal energy when the temperature reaches 150C , at constant pressure?

Instructional Plan - Re-teach

Preparatory DiagnosticsPreparatory Diagnostics

Students’ activityStudents’ activity:: read the saturated-water,pressure property table. Obtain and u.

Students’ activity:Students’ activity: Check table for the saturation temp at 100 kPa. Then suggests 2 ways of boiling water.

Students’ activity:Students’ activity: Suggest the phase and provide reason. Then suggest method on how to find and u.

Failure to complete task: re-teach then give different example

Otherwise, proceed with the lesson’s learning outcome

3-1

Instructional Plan - Re-teachInstructional Plan - Re-teach

LemLem

OvenOven

200C200C

NasiLemak 20C

NasiLemak 20C

qinqin

H2O:Sat. Liq.

Sat. VaporSat. Vapor

P = 100 kPa

T = 99.6 C

P = 100 kPa

T = 99.6 C

Qin

What happens toWhat happens tothe properties of the properties of the system after the the system after the energy transfer?energy transfer?

SODA5C

SODA5C

SODA5C

SODA5C

qqininqqinin

qqouou

tt

qqouou

tt 25C

Teacher Teacher ActivityActivityTeacher Teacher ActivityActivity

Energy transfer-Thermal Energy transfer-Thermal (heat)(heat)

Energy transfer-Thermal Energy transfer-Thermal (heat)(heat)

Example: A steam power cycle.Example: A steam power cycle.

SteamTurbine

Mechanical Energyto Generator

Heat Exchanger

Cooling Water

Pump

Fuel

Air

CombustionProducts

System Boundaryfor ThermodynamicAnalysis

System Boundaryfor ThermodynamicAnalysis

Qou

tQ

ou

t

Win

Win

WoutWout

QinQin

The net work output isThe net work output is kWWWW inoutoutnet ,,

DesiredDesiredoutputoutput

RequiredRequiredinputinput

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

Instructional Plan - Re-Instructional Plan - Re-teachteach

Energy Transfer – Work Done

ii

Voltage, VVoltage, V

No heat transferT increases

after some time

No heat transferT increases

after some time

H2O:SuperVapor

H2O:SuperVapor

Mechanical work:Piston moves up

Boundary work isdone by system

Mechanical work:Piston moves up

Boundary work isdone by system

Electrical work is done on systemElectrical work is done on system

H2O:Sat.

liquid

Wpw,in ,kJWpw,in ,kJ

We,in = Vit/1000, kJWe,in = Vit/1000, kJ

ViW e

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

4-8

FIGURE 4-46Pipe or duct flow may involve more than one form of work at the same time.

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – Energy TransferFirst Law – Energy Transfer

System in thermal equilibrium

SystemTotal energy

E1

Can it change? How? Why?

System’s initial System’s initial total energy istotal energy is

EE11= U= U11+KE+KE11+PE+PE11 or or

ee11= u= u11+ke+ke11+pe+pe11, kJ/kg, kJ/kg

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – Energy TransferFirst Law – Energy Transfer

A change has taken place.

System,

E1

System

EE11= U= U11+KE+KE11+PE+PE11

Movable boundary position gone up

System expands

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – Energy TransferFirst Law – Energy Transfer

A change has taken place

System,

E1

SystemSystemInitiIniti

alal

FinaFinall

System’s final energy is System’s final energy is EE22=U=U22+KE+KE22+PE+PE22

EE11= U= U11+KE+KE11+PE+PE11

Movable boundary position gone up

Systemexpands

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – Energy TransferFirst Law – Energy Transfer

How to relate changes to the cause

Heat as a cause (agent) of change

SystemE1, P1, T1, V1

Toqin, or Qin

qout, or, Qout

Properties will change indicating change of

state

kW,Q in

kW,Qout

E2, P2, T2, V2

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – Energy TransferFirst Law – Energy Transfer

Work as a cause (agent) of change

SystemE1, P1, T1, V1

To

Properties will change indicating change of

state

Win, in, kJ/kg

Wout, in, kJ/kg

How to relate changes to the cause kW,W in

kW,W out

E2, P2, T2, V2

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – Energy TransferFirst Law – Energy Transfer

How to relate changes to the cause

Mass transfer as a cause (agent) of

change

SystemE1, P1, T1, V1

To

Properties will change indicating change of

state

Mass out

Mass in

kWmE ininmass ,)(,

kW,mout

kg/kJ,in kg/kJ,outE2, P2, T2, V2

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – Energy TransferFirst Law – Energy Transfer

How to relate changes to the cause

Dynamic Energies as causes (agents)

of change

SystemE1, P1, T1, V1

To

Properties will change indicating change of

state

Mass out

Mass in

Win

Wout

Qin

Qout

E2, P2, T2, V2

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law-Conservation of Energy PrincipleFirst Law-Conservation of Energy Principle

Energy must be conserved in any Energy must be conserved in any process. Energy cannot be created process. Energy cannot be created nor destroyed. It can only change nor destroyed. It can only change

forms. Total Energy before a forms. Total Energy before a process must equal total energy process must equal total energy

after processafter process

Known as Conservation of Energy Principle

In any In any process, process,

every every bit of bit of

energy energy should should

be be accountaccounted for!!ed for!!

z =h

z =0

z =h/2

E=U+KE+PE = U+0+PE

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law-Conservation of Energy PrincipleFirst Law-Conservation of Energy Principle

Energy must be conserved in any Energy must be conserved in any process. Energy cannot be created process. Energy cannot be created nor destroyed. It can only change nor destroyed. It can only change

forms. Total Energy before a forms. Total Energy before a process must equal total energy process must equal total energy

after processafter process

Known as Conservation of Energy Principle

In any In any process, process,

every every bit of bit of

energy energy should should

be be accountaccounted for!!ed for!!

z =h

z =0

z =h/2 E=U+KE+PE

E=U+KE+PE=U+0+PE

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law-Conservation of Energy PrincipleFirst Law-Conservation of Energy Principle

Energy must be conserved in any Energy must be conserved in any process. Energy cannot be created process. Energy cannot be created nor destroyed. It can only change nor destroyed. It can only change

forms. Total Energy before a forms. Total Energy before a process must equal total energy process must equal total energy

after processafter process

Known as Conservation of Energy Principle

In any In any process, process,

every every bit of bit of

energy energy should should

be be accountaccounted for!!ed for!!

z =h

z =0

z =h/2 E=U+KE+PE

E=U+KE+0

ifke 22

if zzpe

Tu TeacheTeache

r r ActivityActivity

TeacheTeacher r

ActivityActivity

First Law Energy BalanceFirst Law Energy Balance

Energy Balance

Amount of energy causing energy causing changechange must be equal to amount

of energy changeenergy change of system

Energy Entering a system

-

Energy Leaving a system

=

Change of system’s energy

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law of ThermodynamicsFirst Law of Thermodynamics

Energy Balance

Ein – Eout = Esys, kJ orein – eout = esys, kJ/kg or

Energy Entering a system

-

Energy Leaving a system

=

Change of system’s energy

kW,EEE sysoutin

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law of ThermodynamicsFirst Law of Thermodynamics

How to relate changes to the cause

Dynamic Energies as causes (agents)

of change

SystemE1, P1, T1, V1

ToE2, P2, T2, V2

Properties will change indicating change of

state

Mass out

Mass inWin

Wout

Qin

Qout

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

4-1

FIGURE 4–7The energy change of a system during a process is equal to the net work and heat transfer between the system and its surroundings.

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

Instructional Plan-ActivityActive Cooperative (group) LearningActive Cooperative (group) Learning

Name the energies which are agents of change

Name the energies within a system.

Draw and label energy interacting with a system and the energy changes within a system

StudentStudentActivityActivityStudentStudentActivityActivity

Draw the energies interacting with an open system

State the general energy conservation principle

Quantitatively solve some numerical problems

Instructional Plan - AssessActive Cooperative (group) LearningActive Cooperative (group) Learning

Failure to complete task: re-teach then give different example

Otherwise, proceed with the next unit

Teacher-students Teacher-students ActivityActivity

Teacher-students Teacher-students ActivityActivity

If all ok, increase difficulty level to application, analysis, synthesis and evaluation

Instructional Plan-MasteryUnit 2:Unit 2:

Objectives:Objectives:5. Write the unit-mass basis and unit-

time basis (or rate-form basis) energy balance for a general system undergoing any process.

6. Write the energy balance in terms of all the energies causing the change and the energy changes within the system.

7. Write a unit-mass basis and unit-time basis (or rate-form basis) energy balance in terms of all the energies causing the change and the energy changes within the system.

First Law – Interaction EnergiesFirst Law – Interaction Energies

Energy Balance – The Agent

kW ; EWQE in,massininin

Ein = Qin+Win+Emass,in ,kJ

ein = qin+ in+ in, kJ/kg

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law - Interaction EnergiesFirst Law - Interaction Energies

Energy Balance – The Agent

kW ; EWQE out,massoutoutin

E out = Q out +W out +Emass,out ,kJ

eout = qout+ out+ out, kJ/kg

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law - System’s EnergyFirst Law - System’s Energy

Energy Balance – The Change

WIthinEnergy change within the system, Esys = E2-E1

Internal energy change, U = U2 – U1

kinetic energy change, KE = KE2 – KE1

potential energy change, PE = PE2 – PE1

is the sum of

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – Energy ChangeFirst Law – Energy Change

Energy Balance – The Change

WIthin

kW ,PEKEUE sys

Esys = U+KE+PE, kJ

esys = u+ke+pe, kJ/kg

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – General Energy BalanceFirst Law – General Energy Balance

Energy Balance

Ein – Eout = Esys, kJ orein – eout = esys, kJ/kg or

Energy Entering a system

-

Energy Leaving a system

=

Change of system’s energy

kW,EEE sysoutin

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

First Law – General Energy BalanceFirst Law – General Energy Balance

Energy Balance –General system

outmassoutoutinmassinin EWQEWQ ,,

Qin + Win + Emass,in – Qout – Wout - Emass,out

qin + in + in – qout – out – out

= U+ KE+ PE, kJ

= u+ ke+ pe, kJ/kg

kW ,

PEKEU

TeacheTeacher r

ActivityActivity

TeacheTeacher r

ActivityActivity

Instructional Plan-ActivityActive Cooperative (group) LearningActive Cooperative (group) Learning StudentStudent

ActivityActivityStudentStudentActivityActivity

Write an energy balance representing the net interacting energies (agents of change) and the energy changes in the system

Write an energy balance in unit mass form, representing the net interacting energies (agents of change) and the energy changes in the system

Write an energy balance in unit time form or rate form, representing the net interacting energies (agents of change) and the energy changes in the system

Instructional Plan - AssessActive Cooperative (group) LearningActive Cooperative (group) Learning

Failure to complete task: re-teach then give different example

Otherwise, proceed with the next unit

Teacher-students Teacher-students ActivityActivity

Teacher-students Teacher-students ActivityActivity

If all ok, increase difficulty level to application, analysis, synthesis and evaluation