Thermodynamics: An Engineering Approach - Seventh Edition in SI Units, Lecture notes of Thermodynamics

Identify the unique vocabulary associated with thermodynamics through the precise definition of basic concepts to form a sound foundation for the development of the principles of thermodynamics. • Review the metric SI and the English unit systems. • Explain the basic concepts of thermodynamics such as system, state, state postulate, equilibrium, process, and cycle. • Review concepts of temperature, temperature scales, pressure, and absolute and gage pressure.

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Chapter 3
PROPERTIES OF PURE
SUBSTANCES
Muhammad Ahmad
KFUEIT R.Y.K
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Thermodynamics: An Engineering Approach
Seventh Edition in SI Units
Yunus A. Cengel, Michael A. Boles
McGraw-Hill, 2011
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Chapter 3

PROPERTIES OF PURE

SUBSTANCES

Muhammad Ahmad KFUEIT R.Y.K Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Thermodynamics: An Engineering Approach Seventh Edition in SI Units Yunus A. Cengel, Michael A. Boles McGraw-Hill, 20 11

Objectives

  • Introduce the concept of a pure substance.
  • Discuss the physics of phase-change processes.
  • Illustrate the P - v , T - v , and P - T property diagrams and P - v - T surfaces of pure substances.
  • Demonstrate the procedures for determining thermodynamic properties of pure substances from tables of property data.
  • Describe the hypothetical substance “ideal gas” and the ideal-gas equation of state.
  • Apply the ideal-gas equation of state in the solution of typical problems.
  • Introduce the compressibility factor, which accounts for the deviation of real gases from ideal-gas behavior.
  • Present some of the best-known equations of state.

PURE SUBSTANCE

  • A mixture of liquid air and gaseous air, however, is not a pure substance since the composition of liquid air is different from the composition of gaseous air, and thus the mixture is no longer chemically homogeneous. This is due to different components in air condensing at different temperatures at a specified pressure.
  • A mixture of two or more phases of a pure substance is still a pure substance as long as the chemical composition of all phases is the same.
  • Mixture of ice and liquid water, for example, is a pure substance

because both phases have the same chemical composition.

PHASES OF A PURE SUBSTANCE

The molecules in a solid are kept at their positions by the large springlike inter-molecular forces. In a solid, the attractive and repulsive forces between the molecules tend to maintain them at relatively constant distances from each other.

  • Saturated vapor : A vapor that is about to condense.
  • Saturated liquid–vapor mixture : The state at which the liquid and vapor phases coexist in equilibrium.
  • Superheated vapor : A vapor that is not about to condense (i.e., not a saturated vapor). As more heat is transferred, part of the saturated liquid vaporizes ( saturated liquid– vapor mixture ). At 1 atm pressure, the temperature remains constant at 100°C until the last drop of liquid is vaporized ( saturated vapor ). As more heat is transferred, the temperature of the vapor starts to rise ( superheated vapor ).

It probably came as no surprise to you that water started to boil at 100 °C. Strictly speaking, the statement “water boils at 100 °C” is incorrect. The correct statement is “water boils at 100 °C at 1 atm pressure.” The only reason water started boiling at 100 °C was because we held the pressure constant at 1 atm ( 101. 325 kPa). If the pressure inside the cylinder were raised to 500 kPa by adding weights on top of the piston, water would start boiling at 151. 8 °C. That is, the temperature at which water starts boiling depends on the pressure; therefore, if the pressure is fixed, so is the boiling temperature. At a given pressure, the temperature at which a pure substance changes phase is called the saturation temperature T sat. Likewise, at a given temperature, the pressure at which a pure substance changes phase is called the saturation pressure P sat. At a pressure of 101. 325 kPa, T sat is 99. 97 °C. Conversely, at a temperature of 99. 97 °C, P sat is 101. 325 kPa. (At 100. 00 °C, P sat is 101. 42 kPa).

Saturation Temperature and Saturation Pressure

  • The temperature at which water starts boiling depends on the pressure; therefore, if the pressure is fixed, so is the boiling temperature.
  • Water boils at 100C at 1 atm pressure.
  • Saturation temperature T sat : The temperature at which a pure substance changes phase at a given pressure.
  • Saturation pressure P sat : The pressure at which a pure substance changes phase at a given temperature. The liquid–vapor saturation curve of a pure substance (numerical values are for water).
  • Latent heat : The amount of energy absorbed or released during a phase- change process.
  • Latent heat of fusion : The amount of energy absorbed during melting. It is equivalent to the amount of energy released during freezing.
  • Latent heat of vaporization: The amount of energy absorbed during vaporization and it is equivalent to the energy released during condensation.
  • The magnitudes of the latent heats depend on the temperature or pressure at which the phase change occurs.
  • At 1 atm pressure, the latent heat of fusion of water is 333.7 kJ/kg and the latent heat of vaporization is 2256.5 kJ/kg.
  • The atmospheric pressure, and thus the boiling temperature of water, decreases with elevation.

The general shape of the P - v diagram of a pure substance is very much like the T - v diagram, but the T constant lines on this diagram have a downward trend. THE PV DIAGRAMS FOR PHASE-CHANGE

Consider again a piston–cylinder device that contains liquid water at 1 MPa and 150 °C. Water at this state exists as a compressed liquid. Now the weights on top of the piston are removed one by one so that the pressure inside the cylinder decreases gradually (Fig. 3 – 20 ). The water is allowed to exchange heat with the surroundings, so its temperature remains constant. As the pressure decreases, the volume of the water increases slightly. When the pressure reaches the saturation-pressure value at the specified temperature ( 0. 4762 MPa), the water starts to boil. During this vaporization process, both the temperature and the pressure remain constant, but the specific volum e increases. Once the last drop of liquid is vaporized, further reduction in pressure results in a further increase in specific volume. Notice that during the phase-change process, we did not remove any weights. Doing so would cause the pressure and therefore the temperature to drop [since T sat f ( P sat)], and the process would no longer be isothermal When the process is repeated for other temperatures, similar paths are obtained for the phase-change processes. Connecting the saturated liquid and the saturated vapor states by a curve, we obtain the P - v diagram of a pure substance. THE PV DIAGRAMS FOR PHASE-CHANGE

Saturated Liquid and Saturated Vapor States

  • Table A– 4 : Saturation properties of water under temperature.
  • Table A– 5 : Saturation properties of water under pressure. A partial list of Table A–4. Enthalpy of vaporization , hfg (Latent heat of vaporization): The amount of energy needed to vaporize a unit mass of saturated liquid at a given temperature or pressure.

Examples :

Saturated liquid and saturated vapor states of water on T-v and P-v diagrams.

y v , u , or h.

Examples : Saturated liquid-vapor

mixture states on T-v and P-v diagrams.