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Thermodynamics
THERMODYNAMICS
Thermodynamics is
the study of energy
relationships that
involve heat,
mechanical work,
and other aspects of
energy and heat
transfer.
                       Central Heating
A THERMODYNAMIC SYSTEM
ā€¢ A system is a closed environment in which
  heat transfer can take place. (For example,
  the gas, walls, and cylinder of an
  automobile engine.)

                        Work done on
                        gas or work
                        done by gas
INTERNAL ENERGY OF SYSTEM
ā€¢ The internal energy U of a system is the
  total of all kinds of energy possessed by
  the particles that make up the system.

             Usually the internal energy consists
             of the sum of the potential and
             kinetic energies of the working gas
             molecules.
TWO WAYS TO INCREASE THE INTERNAL
          ENERGY, U.


              + U


WORK DONE       HEAT PUT INTO
 ON A GAS         A SYSTEM
 (Positive)       (Positive)
TWO WAYS TO DECREASE THE INTERNAL
           ENERGY, U.

       Wout
                            Qout
                 - U
               Decrease
       hot                 hot



  WORK DONE BY        HEAT LEAVES A
 EXPANDING GAS:          SYSTEM
    W is positive       Q is negative
THERMODYNAMIC STATE
The STATE of a thermodynamic
system is determined by four
factors:
 ā€¢ Absolute Pressure P in
   Pascals
 ā€¢ Temperature T in Kelvins
 ā€¢ Volume V in cubic meters
 ā€¢ Number of moles, n, of working gas
THE FIRST LAW OF
         THERMODYAMICS:
ā€¢ The net heat put into a system is equal to
  the change in internal energy of the
  system plus the work done BY the system.


     Q= U+W                 final - initial)

ā€¢ Conversely, the work done ON a system is
  equal to the change in internal energy plus
  the heat lost in the process.
SIGN CONVENTIONS FOR
      FIRST LAW                                  +Wout
                                  +Qin
ā€¢ Heat Q input is positive                       U
ā€¢ Work BY a gas is positive     -Win
ā€¢ Work ON a gas is negative                          U

ā€¢ Heat OUT is negative                 -Qout


       Q= U+W                 final - initial)
APPLICATION OF FIRST
    LAW OF THERMODYNAMICS
Example 1: In the figure, the
gas absorbs 400 J of heat and     Wout =120 J
at the same time does 120 J
of work on the piston. What
is the change in internal
energy of the system?         Qin
                           400 J
Apply First Law:

         Q= U+W
Example 1 (Cont.): Apply First Law
Q is positive: +400 J (Heat IN)            Wout =120 J
W is positive: +120 J (Work OUT)
                                    Qin
     Q= U+W
                                   400 J
      U=Q-W


 U=Q-W
    = (+400 J) - (+120 J)              U = +280 J
    = +280 J
FOUR THERMODYNAMIC
            PROCESSES:

ā€¢   Isochoric Process:  V = 0, W = 0
ā€¢   Isobaric Process:   P=0
ā€¢   Isothermal Process: T = 0, U = 0
ā€¢   Adiabatic Process:  Q=0


              Q= U+W
HEAT ENGINES
                        A heat engine is any
  Hot Res. TH           device which through
Qhot            Wout    a cyclic process:

    Engine             ā€¢ Absorbs heat Qhot
Qcold                  ā€¢ Performs work Wout
 Cold Res. TC          ā€¢ Rejects heat Qcold
THE SECOND LAW OF
            THERMODYNAMICS
 Hot Res. TH      It is impossible to construct an
Qhot       Wout
                  engine that, operating in a
                  cycle, produces no effect other
  Engine          than the extraction of heat
                  from a reservoir and the
Qcold             performance of an equivalent
                  amount of work.
Cold Res. TC
    Not only can you not win (1st law);
    you canā€™t even break even (2nd law)!
THE SECOND LAW OF
         THERMODYNAMICS
    Hot Res. TH           Hot Res. TH
400 J          100 J   400 J
                                        400 J
      Engine               Engine

300 J
    Cold Res. TC         Cold Res. TC


ā€¢ A possible engine.   ā€¢ An IMPOSSIBLE
                            engine.
EFFICIENCY OF AN ENGINE
                The efficiency of a heat engine
Hot Res. TH     is the ratio of the net work
QH         W    done W to the heat input QH.

 Engine                 W        QH- QC
                   e=        =
QC                      QH        QH
 Cold Res. TC                    QC
                        e=1-
                                 QH
EFFICIENCY EXAMPLE
                     An engine absorbs 800 J and
  Hot Res. TH        wastes 600 J every cycle. What
800 J            W   is the efficiency?
                                      QC
    Engine                  e=1-
600 J                                 QH

  Cold Res. TC              600 J
                     e=1-             e = 25%
                            800 J

Question: How many joules of work is done?
REFRIGERATORS
                   A refrigerator is an engine
                   operating in reverse:
  Hot Res. TH
                   Work is done on gas
 Qhot        Win   extracting heat from cold
                   reservoir and depositing
    Engine         heat into hot reservoir.

Qcold                Win + Qcold = Qhot
 Cold Res. TC
                     WIN = Qhot - Qcold
THE SECOND LAW FOR
             REFRIGERATORS
               It is impossible to construct a
 Hot Res. TH   refrigerator that absorbs heat
Qhot           from a cold reservoir and
               deposits equal heat to a hot
  Engine
               reservoir with W = 0.
       Qcold
Cold Res. TC   If this were possible, we could
               establish perpetual motion!

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Thermodynamics

  • 2. THERMODYNAMICS Thermodynamics is the study of energy relationships that involve heat, mechanical work, and other aspects of energy and heat transfer. Central Heating
  • 3. A THERMODYNAMIC SYSTEM ā€¢ A system is a closed environment in which heat transfer can take place. (For example, the gas, walls, and cylinder of an automobile engine.) Work done on gas or work done by gas
  • 4. INTERNAL ENERGY OF SYSTEM ā€¢ The internal energy U of a system is the total of all kinds of energy possessed by the particles that make up the system. Usually the internal energy consists of the sum of the potential and kinetic energies of the working gas molecules.
  • 5. TWO WAYS TO INCREASE THE INTERNAL ENERGY, U. + U WORK DONE HEAT PUT INTO ON A GAS A SYSTEM (Positive) (Positive)
  • 6. TWO WAYS TO DECREASE THE INTERNAL ENERGY, U. Wout Qout - U Decrease hot hot WORK DONE BY HEAT LEAVES A EXPANDING GAS: SYSTEM W is positive Q is negative
  • 7. THERMODYNAMIC STATE The STATE of a thermodynamic system is determined by four factors: ā€¢ Absolute Pressure P in Pascals ā€¢ Temperature T in Kelvins ā€¢ Volume V in cubic meters ā€¢ Number of moles, n, of working gas
  • 8. THE FIRST LAW OF THERMODYAMICS: ā€¢ The net heat put into a system is equal to the change in internal energy of the system plus the work done BY the system. Q= U+W final - initial) ā€¢ Conversely, the work done ON a system is equal to the change in internal energy plus the heat lost in the process.
  • 9. SIGN CONVENTIONS FOR FIRST LAW +Wout +Qin ā€¢ Heat Q input is positive U ā€¢ Work BY a gas is positive -Win ā€¢ Work ON a gas is negative U ā€¢ Heat OUT is negative -Qout Q= U+W final - initial)
  • 10. APPLICATION OF FIRST LAW OF THERMODYNAMICS Example 1: In the figure, the gas absorbs 400 J of heat and Wout =120 J at the same time does 120 J of work on the piston. What is the change in internal energy of the system? Qin 400 J Apply First Law: Q= U+W
  • 11. Example 1 (Cont.): Apply First Law Q is positive: +400 J (Heat IN) Wout =120 J W is positive: +120 J (Work OUT) Qin Q= U+W 400 J U=Q-W U=Q-W = (+400 J) - (+120 J) U = +280 J = +280 J
  • 12. FOUR THERMODYNAMIC PROCESSES: ā€¢ Isochoric Process: V = 0, W = 0 ā€¢ Isobaric Process: P=0 ā€¢ Isothermal Process: T = 0, U = 0 ā€¢ Adiabatic Process: Q=0 Q= U+W
  • 13. HEAT ENGINES A heat engine is any Hot Res. TH device which through Qhot Wout a cyclic process: Engine ā€¢ Absorbs heat Qhot Qcold ā€¢ Performs work Wout Cold Res. TC ā€¢ Rejects heat Qcold
  • 14. THE SECOND LAW OF THERMODYNAMICS Hot Res. TH It is impossible to construct an Qhot Wout engine that, operating in a cycle, produces no effect other Engine than the extraction of heat from a reservoir and the Qcold performance of an equivalent amount of work. Cold Res. TC Not only can you not win (1st law); you canā€™t even break even (2nd law)!
  • 15. THE SECOND LAW OF THERMODYNAMICS Hot Res. TH Hot Res. TH 400 J 100 J 400 J 400 J Engine Engine 300 J Cold Res. TC Cold Res. TC ā€¢ A possible engine. ā€¢ An IMPOSSIBLE engine.
  • 16. EFFICIENCY OF AN ENGINE The efficiency of a heat engine Hot Res. TH is the ratio of the net work QH W done W to the heat input QH. Engine W QH- QC e= = QC QH QH Cold Res. TC QC e=1- QH
  • 17. EFFICIENCY EXAMPLE An engine absorbs 800 J and Hot Res. TH wastes 600 J every cycle. What 800 J W is the efficiency? QC Engine e=1- 600 J QH Cold Res. TC 600 J e=1- e = 25% 800 J Question: How many joules of work is done?
  • 18. REFRIGERATORS A refrigerator is an engine operating in reverse: Hot Res. TH Work is done on gas Qhot Win extracting heat from cold reservoir and depositing Engine heat into hot reservoir. Qcold Win + Qcold = Qhot Cold Res. TC WIN = Qhot - Qcold
  • 19. THE SECOND LAW FOR REFRIGERATORS It is impossible to construct a Hot Res. TH refrigerator that absorbs heat Qhot from a cold reservoir and deposits equal heat to a hot Engine reservoir with W = 0. Qcold Cold Res. TC If this were possible, we could establish perpetual motion!