Steam: its Generation and Use

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[Pg 147]

PROPERTIES OF AIR

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)
WhereP=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
  3212.390.08071016015.615.06404134020.151.049625
  5012.843.07786317015.867.06302436020.655.048414
  5512.969.07710718016.119.06203938021.159.047261
  6013.095.07636519016.371.06108440021.663.046162
  6513.221.07563720016.623.06015842522.293.044857
  7013.347.07492321016.875.05925945022.923.043624
  7513.473.07422321216.925.05908447523.554.042456
  8013.599.07353522017.127.05838850024.184.041350
  8513.725.07286023017.379.05754152524.814.040300
  9013.851.07219724017.631.05671855025.444.039302
  9513.977.07154625017.883.05591957526.074.038352
10014.103.07090726018.135.05514260026.704.037448
11014.355.06966227018.387.05438665027.964.035760
12014.607.06846028018.639.05365170029.224.034219
13014.859.06729929018.891.05293575030.484.032804
14015.111.06617730019.143.05223880031.744.031502
15015.363.06509232019.647.05089885033.004.030299

[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 RangeSpecific HeatAuthority
Degrees CentigradeDegrees Fahrenheit
-30–  10-22–    500.2377Regnault
    0–100  32–  2120.2374Regnault
    0–200  32–  3920.2375Regnault
  20–440  68–  8240.2366Holborn and Curtis
  20–630  68–11660.2429Holborn and Curtis
  20–800  68–14720.2430Holborn and Curtis
    0–200  32–  3920.2389Wiedemann

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 VaporCubic 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 MercuryWeight of Cubic Foot of the Mixture of Air and VaporWeight of Vapor Mixed with One Pound of Air, in PoundsWeight of Dry Air Mixed with One Pound of Vapor, in Pounds
Weight of the Air in PoundsWeight of the Vapor in PoundsTotal Weight of Mixture in Pounds
  1  2  3  4  5  6  7  8  91011
    0  .935.0864    .04429.877.0863.000079.086379  .000921092.4    
  12  .960.0842    .07429.849.0840.000130.084130  .00155  646.1    
  22  .980.0824    .11829.803.0821.000202.082302  .00245  406.4    
  321.000.0807    .18129.740.0802.000304.080504  .00379  263.81  3289    
  421.020.0791    .26729.654.0784.000440.078840  .00561  178.18  2252    
  521.041.0776    .38829.533.0766.000627.077227  .00810  122.17  1595    
  621.061.0761    .55629.365.0747.000881.075581  .01179    84.79  1135    
  721.082.0747    .78529.136.0727.001221.073921  .01680    59.54    819    
  821.102.0733  1.09228.829.0706.001667.072267  .02361    42.35    600    
  921.122.0720  1.50128.420.0684.002250.070717  .03289    30.40    444    
1021.143.0707  2.03627.885.0659.002997.068897  .04547    21.98    334    
1121.163.0694  2.73127.190.0631.003946.067046  .06253    15.99    253    
1221.184.0682  3.62126.300.0599.005142.065042  .08584    11.65    194    
1321.204.0671  4.75225.169.0564.006639.063039  .11771      8.49    151    
1421.224.0660  6.16523.756.0524.008473.060873  .16170      6.18    118    
1521.245.0649  7.93021.991.0477.010716.058416  .22465      4.45      93.3
1621.265.063810.09919.822.0423.013415.055715  .31713      3.15      74.5
1721.285.062812.75817.163.0360.016682.052682  .46338      2.16      59.2
1821.306.061815.96013.961.0288.020536.049336  .71300      1.402    48.6
1921.326.060919.82810.093.0205.025142.0456421.22643        .815    39.8
2021.347.060024.450  5.471.0109.030545.0414452.80230        .357    32.7
2121.367.059129.921  0.000.0000.036820.036820Infinite        .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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