or,
(3–2)
Both the total enthalpy Hand specific enthalpy hare simply referred to
as enthalpy since the context clarifies which one is meant. Notice that
the equations given above are dimensionally homogeneous. That is, the unit
of the pressure–volume product may differ from the unit of the internal
energy by only a factor (Fig. 3–29). For example, it can be easily shown
that 1 kPa · m^3 1 kJ. In some tables encountered in practice, the internal
energy u is frequently not listed, but it can always be determined from
uhPv.
The widespread use of the property enthalpy is due to Professor Richard
Mollier, who recognized the importance of the group uPvin the analysis
of steam turbines and in the representation of the properties of steam in tab-
ular and graphical form (as in the famous Mollier chart). Mollier referred to
the group uPvas heat contentand total heat. These terms were not quite
consistent with the modern thermodynamic terminology and were replaced
in the 1930s by the term enthalpy(from the Greek word enthalpien, which
means to heat).
1a Saturated Liquid and Saturated Vapor States
The properties of saturated liquid and saturated vapor for water are listed in
Tables A–4 and A–5. Both tables give the same information. The only dif-
ference is that in Table A–4 properties are listed under temperature and in
Table A–5 under pressure. Therefore, it is more convenient to use Table A–4
when temperatureis given and Table A–5 when pressureis given. The use
of Table A–4 is illustrated in Fig. 3–30.
The subscript fis used to denote properties of a saturated liquid, and the
subscript gto denote the properties of saturated vapor. These symbols are
commonly used in thermodynamics and originated from German. Another
subscript commonly used is fg, which denotes the difference between
the saturated vapor and saturated liquid values of the same property. For
example,
The quantity hfgis called the enthalpy of vaporization(or latent heat
of vaporization). It represents the amount of energy needed to vaporize a
unit mass of saturated liquid at a given temperature or pressure. It decreases
as the temperature or pressure increases and becomes zero at the critical
point.
vfgdifference between vg and vf 1 that is, vfgvgvf 2
vgspecific volume of saturated vapor
vfspecific volume of saturated liquid
HUPV¬¬ 1 kJ 2
Chapter 3 | 127
kPa · m^3
kPa · m^3 /kg
bar · m^3
MPa · m^3
psi · ft^3
≡ kJ
≡ kJ/kg
≡ 100 kJ
≡ 1000 kJ
≡ 0.18505 Btu
FIGURE 3–29
The product pressurevolumehas
energy units.
Specific
temperature
Specific
volume of
saturated
liquid
Corresponding
saturation
pressure
Specific
volume of
saturated
vapor
85 57.868
90 70.183
95 84.609
0.001032 2.8261
0.001036 2.3593
0.001040 1.9808
Sat.
Temp.
°C
T
Specific volume
m^3 /kg
Sat.
liquid
vf
Sat.
vapor
vg
press.
kPa
Psat
FIGURE 3–30
A partial list of Table A–4.