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Building Design and Construction Handbook - Merritt - Ventech!

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HEATING, VENTILATION, AND AIR CONDITIONING 13.11<br />

Kelvin (�K) in the Celsius system <strong>and</strong> in degrees Rankine (�R) in the Fahrenheit<br />

system. Absolute zero or zero degrees in either system is determined by considering<br />

the theoretical behavior of an ideal gas, <strong>and</strong> for such a gas,<br />

PV� a mRTa or Pav�RT a<br />

(13.8)<br />

where Pa � absolute pressure on the gas, psf<br />

V � volume of the gas, ft3 v � specific volume of the gas, ft3 /lb � reciprocal of the gas density<br />

m � mass of the gas, lb<br />

Ta � absolute temperature<br />

R � universal gas constant<br />

For a gas under constant pressure, the absolute temperature theoretically will be<br />

zero when the volume is zero <strong>and</strong> all molecular motion ceases. Under these conditions,<br />

the absolute zero temperature has been determined to be nearly �273�C<br />

<strong>and</strong> �460�F. Therefore,<br />

Kelvin temperature �K � Celsius temperature � 273� (13.9)<br />

Rankine temperature �R � Fahrenheit temperature � 460� (13.10)<br />

In the Rankine system, the universal gas constant R equals 1545.3 divided by<br />

the molecular weight of the gas. For air, R � 53.4, <strong>and</strong> for water vapor, R � 85.8.<br />

13.2.6 Latent Heat<br />

The sensible heat of a substance is associated with a sensible change in temperature.<br />

In contrast, the latent heat of a substance is always involved with a change in state<br />

of a substance, such as from ice to water <strong>and</strong> from water to steam or water vapor.<br />

Latent heat is very important in HVAC calculations <strong>and</strong> design, because the total<br />

heat content of air almost always contains some water in the form of vapor. The<br />

concept of latent heat may be clarified by consideration of the changes of state of<br />

water.<br />

When heat is added to ice, the temperature rises until the ice reaches its melting<br />

point. Then, the ice continues to absorb heat without a change in temperature until<br />

a required amount of heat is absorbed per pound of ice, at which point it begins<br />

melting to form liquid water. The reverse is also true: if the liquid is cooled to the<br />

freezing point, this same quantity of heat must be removed to cause the liquid water<br />

to change to the solid (ice) state. This heat is called the latent heat of fusion for<br />

water. It is equal to 144 Btu <strong>and</strong> will convert 1 lb of ice at 32�F to 1 lb of water<br />

at 32�F. Thus,<br />

Latent heat of fusion for water � 144 Btu/lb (13.11)<br />

If the pound of water is heated further, say to 212�F, then an additional 180 Btu<br />

of heat must be added to effect the 180�F sensible change in temperature. At this<br />

temperature, any further addition of heat will not increase the temperature of the<br />

water beyond 212�F. With the continued application of heat, the water experiences<br />

violent agitation, called boiling. The boiling temperature of water is 212�F at<br />

atmospheric pressure.<br />

With continued heating, the boiling water absorbs 970 Btu for each pound of<br />

water without a change in temperature <strong>and</strong> completely changes its state from liquid<br />

at 212�F to water vapor, or steam, at 212�F. Therefore, at 212�F,

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