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Handbook of air conditioning and refrigeration / Shan K

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2.22 CHAPTER TWO<br />

Cooling <strong>and</strong> Dehumidifying Curves. The two cooling <strong>and</strong> dehumidifying curves plotted<br />

on ASHRAE’s chart are based on data on coil performance published in the catalogs <strong>of</strong> U.S.<br />

manufacturers. These curves are very helpful in describing the actual locus <strong>of</strong> a cooling <strong>and</strong> dehumidifying<br />

process as well as determining the state points <strong>of</strong> <strong>air</strong> leaving the cooling coil.<br />

2.10 DETERMINATION OF THERMODYNAMIC PROPERTIES ON<br />

PSYCHROMETRIC CHARTS<br />

There are seven thermodynamic properties or property groups <strong>of</strong> moist <strong>air</strong> shown on a psychrometric<br />

chart:<br />

1. Enthalpy h<br />

2. Relative humidity �<br />

3. Thermodynamic wet-bulb temperature T*<br />

4. Barometric or atmospheric pressure p at<br />

5. Temperature T <strong>and</strong> saturation water vapor pressure p ws<br />

6. Density � <strong>and</strong> moist volume v<br />

7. Humidity ratio w, water vapor pressure p w, <strong>and</strong> dew-point temperature T dew<br />

The fifth, sixth, <strong>and</strong> seventh are thermodynamic property groups. These properties or properties<br />

groups are independent <strong>of</strong> each other except that the difference in slope between the enthalpy h line<br />

<strong>and</strong> thermodynamic wet-bulb temperature T* line is small, <strong>and</strong> it is hard to determine their intersection.<br />

Usually, atmospheric pressure p at is a known value based on the altitude <strong>of</strong> the location. Then, in<br />

the fifth property group, p ws is a function <strong>of</strong> temperature T only. In the sixth property group, according<br />

to Eq. (2.33), � a � 1/v; that is, <strong>air</strong> density <strong>and</strong> moist volume are dependent on each other. In the<br />

seventh property group, for a given value <strong>of</strong> p at, properties w, p w, <strong>and</strong> T dew are all dependent on each<br />

other.<br />

When p at is a known value, <strong>and</strong> if the moist <strong>air</strong> is not saturated, then any two known independent<br />

thermodynamic properties can determine the magnitudes <strong>of</strong> the remaining unknown properties. If<br />

the moist <strong>air</strong> is saturated, then any independent property will determine the remaining magnitudes.<br />

Example 2.1. The design indoor <strong>air</strong> temperature <strong>and</strong> relative humidity <strong>of</strong> an <strong>air</strong> conditioned space<br />

at sea level are 75°F (23.9°C) <strong>and</strong> 50 percent. Find the humidity ratio, the enthalpy, <strong>and</strong> the density<br />

<strong>of</strong> the indoor moist <strong>air</strong><br />

1. By using the ASHRAE chart<br />

2. By calculation<br />

Determine also the dew-point <strong>and</strong> thermodynamic wet-bulb temperatures <strong>of</strong> the moist <strong>air</strong>. The<br />

following information is required for the calculations:<br />

Atmospheric pressure at sea level<br />

Specific heat <strong>of</strong> dry <strong>air</strong><br />

Specific heat <strong>of</strong> water vapor<br />

Enthalpy <strong>of</strong> saturated vapor at 0°F<br />

Gas constant <strong>of</strong> dry <strong>air</strong><br />

Solution<br />

14.697 psi (101,325 Pa)<br />

0.240 Btu/lb�°F (1.005 kJ/kg�K)<br />

0.444 Btu/lb�°F (1.859 kJ/kg�K)<br />

1061 Btu/lb (2468 kJ/kg)<br />

53.352 ft�lb f/lb m�°R (0.287 kJ/kg�K)<br />

1. Plot the space point r on ASHRAE’s chart by first finding the space temperature T r � 75°F on

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