PROPERTIES OF AIR

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Pure air is a mechanical mixture of oxygen and nitrogen. While different authorities give slightly varying values for the proportion of oxygen and nitrogen contained, the generally accepted values are:

By volume, oxygen 20.91 per cent, nitrogen 79.09 per cent.
By weight, oxygen 23.15 per cent, nitrogen 76.85 per cent.

Air in nature always contains other constituents in varying amounts, such as dust, carbon dioxide, ozone and water vapor.

Being perfectly elastic, the density or weight per unit of volume decreases in geometric progression with the altitude. This fact has a direct bearing in the proportioning of furnaces, flues and stacks at high altitudes, as will be shown later in the discussion of these subjects. The atmospheric pressures corresponding to various altitudes are given in Table 12.

The weight and volume of air depend upon the pressure and the temperature, as expressed by the formula:

Pv = 53.33 T (9)
Where P = the absolute pressure in pounds per square foot,
v = the volume in cubic feet of one pound of air,
T = the absolute temperature of the air in degrees Fahrenheit,
53.33 = a constant for air derived from the ratio of pressure, volume and temperature of a perfect gas.

The weight of one cubic foot of air will obviously be the reciprocal of its volume, that is, 1/v pounds.

TABLE 27
VOLUME AND WEIGHT OF AIR
AT ATMOSPHERIC PRESSURE AT VARIOUS TEMPERATURES
Temperature
Degrees
Fahrenheit
Volume
One Pound
in
Cubic Feet
Weight One
Cubic Foot
in Pounds
Temperature
Degrees
Fahrenheit
Volume
One Pound
in
Cubic Feet
Weight One
Cubic Foot
in Pounds
Temperature
Degrees
Fahrenheit
Volume
One Pound
in
Cubic Feet
Weight One
Cubic Foot
in Pounds
32 12.390 .080710 160 15.615 .064041 340 20.151 .049625
50 12.843 .077863 170 15.867 .063024 360 20.655 .048414
55 12.969 .077107 180 16.119 .062039 380 21.159 .047261
60 13.095 .076365 190 16.371 .061084 400 21.663 .046162
65 13.221 .075637 200 16.623 .060158 425 22.293 .044857
70 13.347 .074923 210 16.875 .059259 450 22.923 .043624
75 13.473 .074223 212 16.925 .059084 475 23.554 .042456
80 13.599 .073535 220 17.127 .058388 500 24.184 .041350
85 13.725 .072860 230 17.379 .057541 525 24.814 .040300
90 13.851 .072197 240 17.631 .056718 550 25.444 .039302
95 13.977 .071546 250 17.883 .055919 575 26.074 .038352
100 14.103 .070907 260 18.135 .055142 600 26.704 .037448
110 14.355 .069662 270 18.387 .054386 650 27.964 .035760
120 14.607 .068460 280 18.639 .053651 700 29.224 .034219
130 14.859 .067299 290 18.891 .052935 750 30.484 .032804
140 15.111 .066177 300 19.143 .052238 800 31.744 .031502
150 15.363 .065092 320 19.647 .050898 850 33.004 .030299

[Pg 148]

Example: Required the volume of air in cubic feet under 60.3 pounds gauge pressure per square inch at 115 degrees Fahrenheit.

P = 144 (14.7 + 60.3) = 10,800.
T = 115 + 460 = 575 degrees.
Hence v =
53.33 × 575
––––––––––––––––––––
10,800
= 2.84 cubic feet, and
Weight per cubic foot =
1
––––
v
=
1
––––––––
2.84
= 0.352 pounds.

Table 27 gives the weights and volumes of air under atmospheric pressure at varying temperatures.

Formula (9) holds good for other gases with the change in the value of the constant as follows:

For oxygen 48.24, nitrogen 54.97, hydrogen 765.71.

The specific heat of air at constant pressure varies with its temperature. A number of determinations of this value have been made and certain of those ordinarily accepted as most authentic are given in Table 28.

TABLE 28
SPECIFIC HEAT OF AIR
AT CONSTANT PRESSURE AND VARIOUS TEMPERATURES
Temperature Range Specific Heat Authority
Degrees Centigrade Degrees Fahrenheit
-30–10 -22–50 0.2377 Regnault
0–100 32–212 0.2374 Regnault
0–200 32–392 0.2375 Regnault
20–440 68–824 0.2366 Holborn and Curtis
20–630 68–1166 0.2429 Holborn and Curtis
20–800 68–1472 0.2430 Holborn and Curtis
0–200 32–392 0.2389 Wiedemann

This value is of particular importance in waste heat work and it is regrettable that there is such a variation in the different experiments. Mallard and Le Chatelier determined values considerably higher than any given in Table 28. All things considered in view of the discrepancy of the values given, there appears to be as much ground for the use of a constant value for the specific heat of air at any temperature as for a variable value. Where this value is used throughout this book, it has been taken as 0.24.

Air may carry a considerable quantity of water vapor, which is frequently 3 per cent of the total weight. This fact is of importance in problems relating to heating drying and the compressing of air. Table 29 gives the amount of vapor required to saturate air at different temperatures, its weight, expansive force, etc., and contains sufficient information for solving practically all problems of this sort that may arise.

[Pg 149]

TABLE 29
WEIGHTS OF AIR, VAPOR OF WATER, AND SATURATED MIXTURES OF AIR AND VAPOR
AT DIFFERENT TEMPERATURES,
UNDER THE ORDINARY ATMOSPHERIC PRESSURE OF 29.921 INCHES OF MERCURY
Temper-
ature Degrees Fahr-
enheit
Volume of Dry Air at Different Temper-
atures, the Volume at 32 Degrees being 1.000
Weight of Cubic Foot of Dry Air at the Different Temper-
atures Pounds
Elastic Force of Vapor in Inches of Mercury (Regnault) Mixtures of Air Saturated with Vapor Cubic Feet of Vapor from One Pound of Water at its own Pressure in Column 4
Elastic Force of the Air in the Mixture of Air and Vapor in Inches of Mercury Weight of Cubic Foot of the Mixture of Air and Vapor Weight of Vapor Mixed with One Pound of Air, in Pounds Weight of Dry Air Mixed with One Pound of Vapor, in Pounds
Weight of the Air in Pounds Weight of the Vapor in Pounds Total Weight of Mixture in Pounds
1 2 3 4 5 6 7 8 9 10 11
0 .935 .0864 .044 29.877 .0863 .000079 .086379 .00092 1092.4
12 .960 .0842 .074 29.849 .0840 .000130 .084130 .00155 646.1
22 .980 .0824 .118 29.803 .0821 .000202 .082302 .00245 406.4
32 1.000 .0807 .181 29.740 .0802 .000304 .080504 .00379 263.81 3289
42 1.020 .0791 .267 29.654 .0784 .000440 .078840 .00561 178.18 2252
52 1.041 .0776 .388 29.533 .0766 .000627 .077227 .00810 122.17 1595
62 1.061 .0761 .556 29.365 .0747 .000881 .075581 .01179 84.79 1135
72 1.082 .0747 .785 29.136 .0727 .001221 .073921 .01680 59.54 819
82 1.102 .0733 1.092 28.829 .0706 .001667 .072267 .02361 42.35 600
92 1.122 .0720 1.501 28.420 .0684 .002250 .070717 .03289 30.40 444
102 1.143 .0707 2.036 27.885 .0659 .002997 .068897 .04547 21.98 334
112 1.163 .0694 2.731 27.190 .0631 .003946 .067046 .06253 15.99 253
122 1.184 .0682 3.621 26.300 .0599 .005142 .065042 .08584 11.65 194
132 1.204 .0671 4.752 25.169 .0564 .006639 .063039 .11771 8.49 151
142 1.224 .0660 6.165 23.756 .0524 .008473 .060873 .16170 6.18 118
152 1.245 .0649 7.930 21.991 .0477 .010716 .058416 .22465 4.45 93.3
162 1.265 .0638 10.099 19.822 .0423 .013415 .055715 .31713 3.15 74.5
172 1.285 .0628 12.758 17.163 .0360 .016682 .052682 .46338 2.16 59.2
182 1.306 .0618 15.960 13.961 .0288 .020536 .049336 .71300 1.402 48.6
192 1.326 .0609 19.828 10.093 .0205 .025142 .045642 1.22643 .815 39.8
202 1.347 .0600 24.450 5.471 .0109 .030545 .041445 2.80230 .357 32.7
212 1.367 .0591 29.921 0.000 .0000 .036820 .036820 Infinite .000 27.1

Column 5 = barometer pressure of 29.921, minus the proportion of this due to vapor pressure from column 4.


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