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Energy Transport by Heat and Work and the Classical Sign Convention

Energy may cross the boundary of a closed system only by heat or work.

Energy transfer across a system boundary due solely to the temperature difference
between a system and its surroundings is called heat.

Energy transferred across a system boundary that can be thought of as the energy
expended to lift a weight is called work.

Heat and work are energy transport mechanisms between a system and its
surroundings. The similarities between heat and work are as follows:

     1.Both are recognized at the boundaries of a system as they cross the
boundaries. They are both boundary phenomena.

      2.Systems possess energy, but not heat or work.

      3.Both are associated with a process, not a state. Unlike properties, heat or
      work has no meaning at a state.

       4.Both are path functions (i.e., their magnitudes depends on the path
followed during a process as well as the end states.                              1
Since heat and work are path dependent functions, they have inexact differentials
designated by the symbol δ. The differentials of heat and work are expressed as δQ
and δW. The integral of the differentials of heat and work over the process path gives
the amount of heat or work transfer that occurred at the system boundary during a
process.
                            2

                           ∍
                      1, along path
                                      δ Q = Q12           (not ∆Q)

                            2

                           ∍
                      1, along path
                                      δ W = W12            (not ∆W )

That is, the total heat transfer or work is obtained by following the process path and
adding the differential amounts of heat (δQ) or work (δW) along the way. The
integrals of δQ and δW are not Q2 – Q1 and W2 – W1, respectively, which are
meaningless since both heat and work are not properties and systems do not
possess heat or work at a state.

The following figure illustrates that properties (P, T, v, u, etc.) are point functions, that
is, they depend only on the states. However, heat and work are path functions, that
is, their magnitudes depend on the path followed.
                                                                                         2
•   Internal energy: May be viewed as the sum of the kinetic and
    potential energies of the molecules.
•   Sensible heat: The kinetic energy of the molecules.
•   Latent heat: The internal energy associated with the phase of a
    system.
•   Chemical (bond) energy: The internal energy associated with
    the atomic bonds in a molecule.
•   Nuclear energy: The internal energy associated with the bonds
    within the nucleus of the atom itself.




    What is thermal energy?
    What is the difference between thermal
    energy and heat?


                                                                      3
Property
• Any characteristic that can be ascribed to a
  system e.g. volume (V), temperature (T) and
  pressure (P).
• Extensive property: depends on the size of
  the system e.g. volume, mass
• Intensive property: independent of system
  size: pressure, temperature, density
• Non-property: work, heat
State
• Condition of the system as described by its
  properties.
• Usually only a subset of properties need to
  be specified to identify the state of a system.
Thermodynamic equilibrium
               (TE)
• Undergoes no changes when isolated from its surroundings.
• At an equilibrium state, there is no unbalanced driving
  forces between the system and the surroundings and
  between parts of the system.
• A system is in TE if following types of equilibrium are
  satisfied.
   – Mechanical equilibrium: balance of forces
   – Thermal equilibrium: system undergoes no changes in properties when
     separated from the surroundings through walls that allow passage of heat.
   – Phase equilibrium: Mass of each phase within the system does not change
   – Chemical equilibrium: chemical composition of the system does not change
Process and cycle
• Change that a system undergoes from one equilibrium state
  to another equilibrium state.
• Cycle: A process that begins and ends at the same state
  e.g. the working fluids of power plants and refrigerators work
  in a cycle.
Quasiequilibrium process
• Quasiequilibrium or quasistatic process: A process
  conducted so slowly that the system is in thermodynamic
  equilibrium at every stage of this process.
Steady flow process
• Steadynot changing with time
• A process during which the fluid flows through an open
  system (control volume) steadily.
• Of engineering importance
Temperature and the thermometer
• Temperature is a property which
  characterizes “degree of hotness”.
• A thermometer contains a working
  substance which undergoes easily
  detectable changes in some property
  according to the “degree of hotness”.
• Therefore, temperature can be assigned
  numerical values based on the reading of
  a thermometer.
Two bodies in thermal equilibrium
•   When a “hot” body is placed in contact with a “cold” body through a
    part of their boundary that allows passage of heat, the properties of
    the body change initially due to heat transfer between them.
    Eventually the heat transfer stops and the properties no longer
    change with time. The two bodies have reached thermal equilibrium.
Zeroth Law of Thermodynamics
If:
• Body A is in thermal equilibrium with a body C
• Body B is in thermal equilibrium with body C
Then:
• Bodies A and B are in thermal equilibrium with
    each other.
• If body C is a thermometer, then body A and
    body B are in thermal equilibrium if they have
    the same “thermometer reading” i.e.
    temperature.
 Two bodies are in thermal equilibrium if they
    have the same temperature (there is no need
    anymore to place them in contact).
Thermodynamic equilibrium
                (TE)
• Undergoes no changes when isolated from its surroundings.
• At an equilibrium state, there is no unbalanced driving
  forces between the system and the surroundings and
  between parts of the system.
• A system is in TE if following types of equilibrium are
  satisfied.
   –   Mechanical equilibrium
   –   Thermal equilibrium Temperature uniform
   –   Phase equilibrium
   –   Chemical equilibrium
Pressure and density
• Normal force per unit area exerted by fluid on a
  substrate
• Pressure is measured using manometers (rise of
  mercury column), Bourdon Tube, pressure
  transducers using pressure sensitive resistance,
  capacitance, piezoelectric e.m.f. etc.
• Density is the mass per unit volume of a
  macroscopic region surrounding a point within
  the material.
1-17



              Chapter Summary

       • The sum of all forms of energy of a system is called total energy,
         which is considered to consist of internal, kinetic, and potential
         energies. Internal energy represents the molecular energy of a
         system and may exist in sensible, latent, chemical, and nuclear
         forms.
1-16



              Chapter Summary

       • The mass-dependent properties of a system are called extensive
         properties and the others, intensive properties. Density is mass per
         unit volume, and specific volume is volume per unit mass.
1-17



              Chapter Summary

       • The sum of all forms of energy of a system is called total energy,
         which is considered to consist of internal, kinetic, and potential
         energies. Internal energy represents the molecular energy of a
         system and may exist in sensible, latent, chemical, and nuclear
         forms.
1-1

                Applications of
               Thermodynamics


      The human body
                          Air-conditioning                  Airplanes
                              systems




                  Car radiators              Power plants           Refrigeration systems
1-2
        Crossing Closed-System
               Boundries
          Energy, not mass, crosses closed-system boundries



 • (Fig. 1-13)
1-3

      Closed System with Moving
              Boundry
1-4
      Crossing Control Volume
            Boundaries
       Mass and Energy Cross Control Volume Boundaries
1-5



      System’s Internal Energy
         System’s Internal Energy = Sum of Microscopic Energies



 • (Fig. 1-19)

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2 energy, energy transfer, and general energy analysis

  • 1. Energy Transport by Heat and Work and the Classical Sign Convention Energy may cross the boundary of a closed system only by heat or work. Energy transfer across a system boundary due solely to the temperature difference between a system and its surroundings is called heat. Energy transferred across a system boundary that can be thought of as the energy expended to lift a weight is called work. Heat and work are energy transport mechanisms between a system and its surroundings. The similarities between heat and work are as follows: 1.Both are recognized at the boundaries of a system as they cross the boundaries. They are both boundary phenomena. 2.Systems possess energy, but not heat or work. 3.Both are associated with a process, not a state. Unlike properties, heat or work has no meaning at a state. 4.Both are path functions (i.e., their magnitudes depends on the path followed during a process as well as the end states. 1
  • 2. Since heat and work are path dependent functions, they have inexact differentials designated by the symbol δ. The differentials of heat and work are expressed as δQ and δW. The integral of the differentials of heat and work over the process path gives the amount of heat or work transfer that occurred at the system boundary during a process. 2 ∍ 1, along path δ Q = Q12 (not ∆Q) 2 ∍ 1, along path δ W = W12 (not ∆W ) That is, the total heat transfer or work is obtained by following the process path and adding the differential amounts of heat (δQ) or work (δW) along the way. The integrals of δQ and δW are not Q2 – Q1 and W2 – W1, respectively, which are meaningless since both heat and work are not properties and systems do not possess heat or work at a state. The following figure illustrates that properties (P, T, v, u, etc.) are point functions, that is, they depend only on the states. However, heat and work are path functions, that is, their magnitudes depend on the path followed. 2
  • 3. • Internal energy: May be viewed as the sum of the kinetic and potential energies of the molecules. • Sensible heat: The kinetic energy of the molecules. • Latent heat: The internal energy associated with the phase of a system. • Chemical (bond) energy: The internal energy associated with the atomic bonds in a molecule. • Nuclear energy: The internal energy associated with the bonds within the nucleus of the atom itself. What is thermal energy? What is the difference between thermal energy and heat? 3
  • 4. Property • Any characteristic that can be ascribed to a system e.g. volume (V), temperature (T) and pressure (P). • Extensive property: depends on the size of the system e.g. volume, mass • Intensive property: independent of system size: pressure, temperature, density • Non-property: work, heat
  • 5. State • Condition of the system as described by its properties. • Usually only a subset of properties need to be specified to identify the state of a system.
  • 6. Thermodynamic equilibrium (TE) • Undergoes no changes when isolated from its surroundings. • At an equilibrium state, there is no unbalanced driving forces between the system and the surroundings and between parts of the system. • A system is in TE if following types of equilibrium are satisfied. – Mechanical equilibrium: balance of forces – Thermal equilibrium: system undergoes no changes in properties when separated from the surroundings through walls that allow passage of heat. – Phase equilibrium: Mass of each phase within the system does not change – Chemical equilibrium: chemical composition of the system does not change
  • 7. Process and cycle • Change that a system undergoes from one equilibrium state to another equilibrium state. • Cycle: A process that begins and ends at the same state e.g. the working fluids of power plants and refrigerators work in a cycle.
  • 8. Quasiequilibrium process • Quasiequilibrium or quasistatic process: A process conducted so slowly that the system is in thermodynamic equilibrium at every stage of this process.
  • 9. Steady flow process • Steadynot changing with time • A process during which the fluid flows through an open system (control volume) steadily. • Of engineering importance
  • 10. Temperature and the thermometer • Temperature is a property which characterizes “degree of hotness”. • A thermometer contains a working substance which undergoes easily detectable changes in some property according to the “degree of hotness”. • Therefore, temperature can be assigned numerical values based on the reading of a thermometer.
  • 11. Two bodies in thermal equilibrium • When a “hot” body is placed in contact with a “cold” body through a part of their boundary that allows passage of heat, the properties of the body change initially due to heat transfer between them. Eventually the heat transfer stops and the properties no longer change with time. The two bodies have reached thermal equilibrium.
  • 12. Zeroth Law of Thermodynamics If: • Body A is in thermal equilibrium with a body C • Body B is in thermal equilibrium with body C Then: • Bodies A and B are in thermal equilibrium with each other. • If body C is a thermometer, then body A and body B are in thermal equilibrium if they have the same “thermometer reading” i.e. temperature.  Two bodies are in thermal equilibrium if they have the same temperature (there is no need anymore to place them in contact).
  • 13. Thermodynamic equilibrium (TE) • Undergoes no changes when isolated from its surroundings. • At an equilibrium state, there is no unbalanced driving forces between the system and the surroundings and between parts of the system. • A system is in TE if following types of equilibrium are satisfied. – Mechanical equilibrium – Thermal equilibrium Temperature uniform – Phase equilibrium – Chemical equilibrium
  • 14. Pressure and density • Normal force per unit area exerted by fluid on a substrate • Pressure is measured using manometers (rise of mercury column), Bourdon Tube, pressure transducers using pressure sensitive resistance, capacitance, piezoelectric e.m.f. etc. • Density is the mass per unit volume of a macroscopic region surrounding a point within the material.
  • 15. 1-17 Chapter Summary • The sum of all forms of energy of a system is called total energy, which is considered to consist of internal, kinetic, and potential energies. Internal energy represents the molecular energy of a system and may exist in sensible, latent, chemical, and nuclear forms.
  • 16. 1-16 Chapter Summary • The mass-dependent properties of a system are called extensive properties and the others, intensive properties. Density is mass per unit volume, and specific volume is volume per unit mass.
  • 17. 1-17 Chapter Summary • The sum of all forms of energy of a system is called total energy, which is considered to consist of internal, kinetic, and potential energies. Internal energy represents the molecular energy of a system and may exist in sensible, latent, chemical, and nuclear forms.
  • 18. 1-1 Applications of Thermodynamics The human body Air-conditioning Airplanes systems Car radiators Power plants Refrigeration systems
  • 19. 1-2 Crossing Closed-System Boundries Energy, not mass, crosses closed-system boundries • (Fig. 1-13)
  • 20. 1-3 Closed System with Moving Boundry
  • 21. 1-4 Crossing Control Volume Boundaries Mass and Energy Cross Control Volume Boundaries
  • 22. 1-5 System’s Internal Energy System’s Internal Energy = Sum of Microscopic Energies • (Fig. 1-19)