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:
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 | = | | = | | = | 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.
Table of Contents Next Chapter