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WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
2
CHAPTER
Properties of
Pure Substances
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
(fig. 2-16)
Constant-Pressure Phase-Change
Process
2-1
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
T-v Diagram of a Pure Substance
2-2
(Fig. 2-18)
Energy, not mass, crosses closed-system boundaries
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
P-v Diagram of a Pure
Substance
(Fig. 2-19)
2-3
SUPERHEATED
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
P-v Diagram of Substance that
Contracts on Freezing
(Fig. 2-21)
2-4
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
P-v Diagram of Substance that
Expands on Freezing
(Fig. 2-22)
2-5
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
P-T Diagram of Pure
Substances
(Fig. 2-25)
2-6
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
P-v-T Surface of a Substance that
Contracts on Freezing
(Fig. 2-26)
2-7
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
P-v-T Surface of a Substance that
Expands on Freezing
(Fig. 2-27)
2-8
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Partial List of Table A-4
(Fig. 2-35)
2-9
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Quality Shown in P-v and T-v
Diagrams
(Fig. 2-41)
2-10
Quality is related to the horizontal differences of P-V and T-v diagrams
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Partial List of Table A-6
(Fig. 2-45)
2-11
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Pure Substances
can Exist as Compressed Liquids
(Fig. 2-49)
2-12
At a given P and T, a pure substance will exist
as a compressed liquid if T<T sat @ P
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
The Region Where Steam
can be Treated as an Ideal Gas
(Fig. 2-54)
2-13
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Comparison of Z Factors
for Various Gases
(Fig. 2-57)
2-14
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Percent of Error in Equations
for the State of Nitrogen
(Fig. 2-66)
2-15
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• A substance that has a fixed chemical
composition throughout is called a pure
substance.
2-16
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• A pure substance exists in different phases
depending on its energy level. In the liquid phase,
a substance that is not about to vaporize is called
a compressed or subcooled liquid.
2-17
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• In the gas phase, a substance that is not about to
condense is called a superheated vapor.
2-18
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• During a phase-change process, the temperature
and pressure of a pure substance are dependent
properties. At a given pressure, a substance
changes phase at a fixed temperature, called the
saturation temperature. At a given temperature,
the pressure at which a substance changes phase
is called the saturation pressure. During a boiling
process, both the liquid and the vapor phases
coexist in equilibrium, and under this condition
the liquid is called saturated liquid and the vapor
saturated vapor.
2-19
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• In a saturated liquid-vapor mixture, the mass
fraction of the vapor phase is called the quality
and is defined as
The quality may have values between 0 (saturated
liquid) and 1 (saturated vapor). It has no meaning
in the compressed liquid or superheated vapor
regions.
2-20
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• In the saturated mixture region, the average value
of any intensive property y is determined from
where f stands for saturated liquid and g for
saturated vapor.
2-21
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• In the absence of compressed liquid data, a
general approximation is to treat a compressed
liquid as a saturated liquid at the given
temperature, that is,
where y stands for v, u, or h.
2-22
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• The state beyond which there is no distinct
vaporization process is called the critical point. At
supercritical pressures, a substance gradually and
uniformly expands from the liquid to vapor phase.
2-23
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• All three phases of a substance coexist in
equilibrium at states along the triple line
characterized by triple-line temperature
and pressure.
2-24
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• Various properties of some pure sub-stances are
listed in the appendix. As can be noticed from
these tables, the compressed liquid has lower v, u,
and h values than the saturated liquid at the same
T or P. Likewise, superheated vapor has higher v,
u, and h values than the saturated vapor at the
same T or P. is a major application area of
thermodynamics.
2-25
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• Any relation among the pressure, temperature,
and specific volume of a substance is called an
equation of state. The simplest and best-known
equation of state is the ideal-gas equation of state,
given as
where R is the gas constant. Caution should be
exercised in using this relation since an ideal gas
is a fictitious substance. Real gases exhibit ideal-
gas behav-ior at relatively low pressures and high
temperatures.
2-26
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• The deviation from ideal-gas behavior can be
properly accounted for by using the
compressibility factor Z, defined as
2-27
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• The Z factor is approximately the same for all
gases at the same reduced temperature and
reduced pressure, which are defined as
where Pcr and Tcr are the critical pressure and
temperature, respectively. This is known as the
principle of corresponding states.
(Continued on next slide)
2-28
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• When either P or T is unknown, Z can be
determined from the compressibility chart with the
help of the pseudo-reduced specific volume,
defined as
(Continued from previous slide)
2-29
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
• The P-v-T behavior of substances can be
represented more accurately by the more complex
equations of state. Three of the best known are
van der Waals:
where
Chapter Summary
2-30
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• Beattie-Bridgeman:
where
2-31
WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998
Thermodynamics
Çengel
Boles
Third Edition
Chapter Summary
• Benedict-Webb-Rubin:
The constants appearing in the Beattie-Bridgeman and Benedict-Webb-
Rubin equations are given in Table A-29 for various substances.
2-32

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CHPT02.PPT

  • 1. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition 2 CHAPTER Properties of Pure Substances
  • 2. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition (fig. 2-16) Constant-Pressure Phase-Change Process 2-1
  • 3. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition T-v Diagram of a Pure Substance 2-2 (Fig. 2-18) Energy, not mass, crosses closed-system boundaries
  • 4. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition P-v Diagram of a Pure Substance (Fig. 2-19) 2-3 SUPERHEATED
  • 5. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition P-v Diagram of Substance that Contracts on Freezing (Fig. 2-21) 2-4
  • 6. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition P-v Diagram of Substance that Expands on Freezing (Fig. 2-22) 2-5
  • 7. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition P-T Diagram of Pure Substances (Fig. 2-25) 2-6
  • 8. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition P-v-T Surface of a Substance that Contracts on Freezing (Fig. 2-26) 2-7
  • 9. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition P-v-T Surface of a Substance that Expands on Freezing (Fig. 2-27) 2-8
  • 10. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Partial List of Table A-4 (Fig. 2-35) 2-9
  • 11. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Quality Shown in P-v and T-v Diagrams (Fig. 2-41) 2-10 Quality is related to the horizontal differences of P-V and T-v diagrams
  • 12. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Partial List of Table A-6 (Fig. 2-45) 2-11
  • 13. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Pure Substances can Exist as Compressed Liquids (Fig. 2-49) 2-12 At a given P and T, a pure substance will exist as a compressed liquid if T<T sat @ P
  • 14. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition The Region Where Steam can be Treated as an Ideal Gas (Fig. 2-54) 2-13
  • 15. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Comparison of Z Factors for Various Gases (Fig. 2-57) 2-14
  • 16. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Percent of Error in Equations for the State of Nitrogen (Fig. 2-66) 2-15
  • 17. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • A substance that has a fixed chemical composition throughout is called a pure substance. 2-16
  • 18. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • A pure substance exists in different phases depending on its energy level. In the liquid phase, a substance that is not about to vaporize is called a compressed or subcooled liquid. 2-17
  • 19. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • In the gas phase, a substance that is not about to condense is called a superheated vapor. 2-18
  • 20. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • During a phase-change process, the temperature and pressure of a pure substance are dependent properties. At a given pressure, a substance changes phase at a fixed temperature, called the saturation temperature. At a given temperature, the pressure at which a substance changes phase is called the saturation pressure. During a boiling process, both the liquid and the vapor phases coexist in equilibrium, and under this condition the liquid is called saturated liquid and the vapor saturated vapor. 2-19
  • 21. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • In a saturated liquid-vapor mixture, the mass fraction of the vapor phase is called the quality and is defined as The quality may have values between 0 (saturated liquid) and 1 (saturated vapor). It has no meaning in the compressed liquid or superheated vapor regions. 2-20
  • 22. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • In the saturated mixture region, the average value of any intensive property y is determined from where f stands for saturated liquid and g for saturated vapor. 2-21
  • 23. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • In the absence of compressed liquid data, a general approximation is to treat a compressed liquid as a saturated liquid at the given temperature, that is, where y stands for v, u, or h. 2-22
  • 24. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • The state beyond which there is no distinct vaporization process is called the critical point. At supercritical pressures, a substance gradually and uniformly expands from the liquid to vapor phase. 2-23
  • 25. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • All three phases of a substance coexist in equilibrium at states along the triple line characterized by triple-line temperature and pressure. 2-24
  • 26. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • Various properties of some pure sub-stances are listed in the appendix. As can be noticed from these tables, the compressed liquid has lower v, u, and h values than the saturated liquid at the same T or P. Likewise, superheated vapor has higher v, u, and h values than the saturated vapor at the same T or P. is a major application area of thermodynamics. 2-25
  • 27. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • Any relation among the pressure, temperature, and specific volume of a substance is called an equation of state. The simplest and best-known equation of state is the ideal-gas equation of state, given as where R is the gas constant. Caution should be exercised in using this relation since an ideal gas is a fictitious substance. Real gases exhibit ideal- gas behav-ior at relatively low pressures and high temperatures. 2-26
  • 28. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • The deviation from ideal-gas behavior can be properly accounted for by using the compressibility factor Z, defined as 2-27
  • 29. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • The Z factor is approximately the same for all gases at the same reduced temperature and reduced pressure, which are defined as where Pcr and Tcr are the critical pressure and temperature, respectively. This is known as the principle of corresponding states. (Continued on next slide) 2-28
  • 30. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • When either P or T is unknown, Z can be determined from the compressibility chart with the help of the pseudo-reduced specific volume, defined as (Continued from previous slide) 2-29
  • 31. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition • The P-v-T behavior of substances can be represented more accurately by the more complex equations of state. Three of the best known are van der Waals: where Chapter Summary 2-30
  • 32. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • Beattie-Bridgeman: where 2-31
  • 33. WCB/McGraw-Hill © The McGraw-Hill Companies, Inc.,1998 Thermodynamics Çengel Boles Third Edition Chapter Summary • Benedict-Webb-Rubin: The constants appearing in the Beattie-Bridgeman and Benedict-Webb- Rubin equations are given in Table A-29 for various substances. 2-32