Price of Coal.

—The value of coal as a fuel will depend on the amount of heat it is capable of producing when burned; its price should therefore be determined by the heating value per pound of fuel as purchased. Secondary determining factors in price are those of convenience of handling and the difficulty in burning the fuel such as the size and uniformity of the pieces, the formation of clinkers, smoke and accumulation of soot. Soft coals, containing a large amount of volatile matter, usually produce much soot and smoke and as a consequence sell for a lower price than coals that produce little smoke.

The selection of fuels will depend on the type of heating plant in use, whether by stoves or by furnaces. If by stoves, whether it is possible to use soft coal as a fuel. The automatically fed stove, of the base-burner type, are usually designed for the use of hard coal and in such stoves the use of soft coal would not be possible. Other stoves and furnaces are usually capable of burning soft coal with varying degrees of satisfaction, depending on the design and surrounding conditions.

The following prices, from the local market, show the usual ratings of various fuels in common use. These prices vary with the locality and somewhat with the season. It is usually possible to purchase coal at some reduction in price during the summer months when the demand for coal is light.

Hard coal—stove size$10.25 per ton
Hard coal—nut size10.50 per ton
Semi-bituminous—run-of-the-mine9.00 per ton
Pennsylvania bituminous—run-of-the-mine7.50 per ton
Soft coal—Ohio—run-of-the-mine7.50 per ton
Soft coal—Illinois—bituminous—run-of-the-mine7.50 per ton
Soft coal—Iowa—bituminous—run-of-the-mine7.50 per ton
Briquettes-mixture semi-bituminous coal dust9.00 per ton
Wood (oak), sawed, stove length and split8.50 per cord

The price of coal is determined in many localities by the distance from the sources of supply and the means of transportation. The fact that coals from all of the principal mining areas from Pennsylvania, west to Iowa, are sold at points in the Northwest for the same price, is due in greatest measure to transportation rates on the Great Lakes. The prices of Eastern coals at Duluth are such that in competition with Western coals they are sold at the same price as is shown by the table.

It is usually impossible for the average householder, or even the dealer, to determine definitely the exact locality from which his fuel is mined. Even when such information is obtainable, the quality is still in doubt, unless analysis is obtainable by sample. The data given in the following tables is such as will furnish a fair knowledge of the relative heating values of coals from the principal mining areas of the United States. The data was obtained from a considerable number of authorities but chiefly from the reports of the United States Geological Survey. The different items are not intended to be exact, they merely represent reliable average conditions.

The varying conditions of available heat and percentage of moisture given in the following table are such as to be of little use to those unaccustomed to problems of this kind, unless a systematic method of comparison is made of the different fuels.

Approximate Composition and Calorific Value of Typical American Coals

1
Locality
2
Kind of coal
3
Number,
of samples
examined
Moisture 5
Volatile
matter
6
Fixed
carbon
7
B.t.u.
pound per
dry coal
8
Ash
Pa.Anthracite12 5.055.52 82.5412,68211.53
Md.Semi-
bituminous
52.39 17.7375.44 14,5307.40
Pa.Semi-
bituminous
153.60 19.2674.4614,2118.32
W. Va.Semi-
bituminous
122.50 19.0075.7014,758 5.24
Ala.Bituminous 63.55 29.9959.2413,522 10.73
Ark.Bituminous 21.42 16.5873.3714,205 10.05
Colo.Bituminous 69.8937.34 52.5312,32510.32
Ill.Bituminous 2210.3136.73 50.5211,50412.73
Ia.Bituminous 87.7239.15 50.5412,65610.33
Kan.Bituminous 34.2532.20 51.1712,03113.75
Ky.Bituminous 95.9934.58 56.5613,3418.86
Mo.Bituminous 911.5237.85 48.1112,39814.04
Ohio.Bituminous 145.6538.51 50.5912,83910.65
Okla.Bituminous 35.7234.83 52.7612,64812.41
N.M.Bituminous 112.1736.31 51.1712,12612.52
Pa.Bituminous 152.4433.41 58.3113,7328.40
Tenn.Bituminous 42.5336.58 58.2114,0985.47
Tex.Bituminous 33.8435.05 48.9912,30215.96
Va.Bituminous 52.7131.32 62.4714,0256.92
W. Va.Bituminous 102.6133.92 58.8014,0947.27
Colo.Lignite 619.7545.21 45.8510,7998.93
N. D.Lignite 535.9344.33 43.2110,42012.45
Tex.Lignite 630.8644.06 39.2110,29716.76
Wyo.Lignite 414.7148.47 44.4911,6087.035

The following table was prepared from the date of that preceding combined with the prices of various coals to be obtained in the local market. The table is intended to present a method of comparing the values of fuels from different coal areas. The consumer is interested to know the amount of heat purchased in the form of fuel. The table shows in the column headed “Heat per $1,” the number of B.t.u. purchased for $1 in coal; the number of available B.t.u. in the different kinds of coal may be taken as a relative comparison of their values as fuel.

The gas-coke in the table is that sold by the local gas company. The amount of moisture in this case is relatively high because of the fact that the coke is stored in a yard exposed to the weather, where it absorbs all precipitated moisture. A less amount of moisture would give a higher value for the same fuel.

Kind of coal Price
per
ton
Per cent.,
water
B.t.u.
per 100
pounds
B.t.u. to
evaporate
water
B.t.u.
per 100
÷ cost per
100 pounds
Heat per $1
Bituminous
Pennsylvania
$7.50 2.44 1,340,000 - 3,439 = 1,336,565
————
$0.375
= 3,564,000 B.t.u.
Semi-
bituminous
West Virginia
$9.00 3.06 1,420,000 - 4,315 = 1,415,685
————
$0.45
= 3,145,000 B.t.u.
Gas-coke $7.00 10.00 1,117,900 - 16,888 = 1,101,012
————
$0.35
= 3,145,000 B.t.u.
North
Dakota
lignite
$4.50 35.90 668,000 - 50,728 = 607,282
———
$0.225
= 2,703,000 B.t.u.
Bituminous
Illinois
$7.50 10.31 1,032,000 - 14,398 = 1,017,602
————
$0.375
= 2,980,000 B.t.u.
Bituminous
Iowa
$7.50 13.10 1,012,000 - 18,471 = 994,529
———
$0.375
= 2,652,000 B.t.u.
Hard coal
Pennsylvania
$10.50 3.05 1,230,000 - 4,195 = 1,225,905
————
$0.525
= 2,335,000 B.t.u.

Semi-bituminous coal commands considerable favor as a house-heating fuel, because of the fact that it burns with much less smoke than bituminous coal. In available heat it is considerably above the Western bituminous coal and it sells at a price $1.50 higher per ton. The reason for the difference in price is not so much on account of its heating value, as because of relatively small amount of smoke produced in combustion. Other coals capable of producing more heat are sold at less price because of smoke and soot produced in burning.

Hard coal at $10.50 is the most expensive coal of all. The ratio of available heat units per $1 for hard coal, as compared with the best soft coal, is as 23 is to 35. This means that at the stated prices those who burn hard coal pay the additional price, because of the physical properties it possesses.

In constructing the above table, 100 pounds of coal was taken as a unit of comparison. The price per ton is that given in the table of local prices. The per cent. of moisture and the B.t.u. per pound of fuel was taken from table on page 192.

In explaining the method by which the different items were obtained, it will be necessary to discuss briefly the condition of combustion and the heat losses that take place when fuel is burned.

The moisture in the fuel is the undesirable part, because it requires a large amount of heat to dispose of it. It is looked upon as so much water, that must be raised in temperature from that in which it is taken from the coal bin to the temperature and condition of vapor in which it passes into the chimney. When the fuel enters the furnace the water is heated to the boiling point. In changing temperature it absorbs 1 B.t.u. for each pound of water, through each degree of change. Suppose that, as in the case of Pennsylvania bituminous coal which contains 2.44 pounds of water to each 100 pounds of coal, the coal entering the furnace was at 50°F. To raise its temperature to the boiling point (212°F.) required a change of 162°. The 2.44 pounds of water raised this amount

162 × 2.44 = 395.28 B.t.u.

To change the 2.44 pounds of water, into steam at the atmospheric pressure requires 969.7 B.t.u. (heat of vaporization), practically 970 B.t.u. per pound of water. The heat required to vaporize 2.44 pounds of water is

2.44 × 970 = 2366.80 B.t.u.

The vapor is now raised in temperature, to that of the furnace, which we may assume is 1200°F. The furnace being at atmospheric pressure the vapor merely expands in volume as a gas. The specific heat of steam at atmospheric pressure is 0.464; that is, 1 pound of steam requires only 0.464 B.t.u. to raise it a degree, and 2.44 pounds of water will absorb

0.464 × 2.44 × 1200 = 1356.00 B.t.u.

Of this last amount of heat, approximately 50 per cent. is recovered as the gases pass through the furnace. The total loss of heat due to the evaporation of the water is

Raising temperature from normal to 212°395 B.t.u.
Evaporation2,366 B.t.u.
Changing temperature of vapor, less 50 per cent.678 B.t.u.
 —————
Total heat loss3,439 B.t.u.

In the 100 pounds of coal under consideration, there is 100 pounds, less 2.44 pounds of water, or 97.56 of dry coal, each pound of which contains 13,732 B.t.u. as given by the table on page 193. This gives

97.56 × 12,682 = 1,339,753 = practically 1,340,000 B.t.u.

From this quantity is subtracted the loss of heat, 3439.

1,340,000 - 3439 = 1,336,561 B.t.u.

This represents the total available heat in 100 pounds of coal. If this quantity is now divided by the cost of 100 pounds of coal at $7.25 per ton, the result, 3,564,000 B.t.u., will be the available heat bought for $1 as given in column 7 of the table.

CHAPTER X
ATMOSPHERIC HUMIDITY

The physical effect of atmospheric humidity has come to be recognized by all who deal in problems of house heating, sanitation and hygiene. The difference in effect of dry atmosphere, from that of air containing a desirable degree of moisture, is very noticeable in all buildings that are artificially heated. The effect of dry air is made apparent in the average home during the winter months by the shrinking of the woodwork and furniture. The absorption of the moisture from the building which is usually termed “drying out,” causes the joints in the floors and casements to open, doors to shrink until they fail to latch and drawers that have opened with difficulty during the summer then work freely.

Winter time is the season of prevalent colds, chaps and roughness of the skin, not so much on account of cold weather as because of dry air. The skin which is normally moist is kept dry by constant evaporation with the attending discomfort of an irritated surface and the results which follow.

The humidity of the air in which we live and on which we depend for life has much to do with the bodily comfort we derive in existence, and is suspected of being the cause of many physical ailments. Ventilation engineers not only recognize this condition but have found means of controlling it. It is possible to so control atmosphere temperature and humidity of buildings as to produce any desired condition.

Humidity of the Air.

—The amount of water vapor in the air is called the humidity of the air. It may vary from a fraction of a grain per cubic foot in extremely cold weather, to 20 grains per cubic foot during the occasional hot weather of summer.

Since the amounts of moisture that air will hold depends on its temperature, and as the air is ordinarily only partly saturated, the varying amount of moisture are expressed either as relative humidity and stated in per cent. saturation or in the actual weight of water in grains per cubic foot and known as absolute humidity.

The relative humidity of the atmosphere is the amount of moisture contained in a given space as compared with the amount the same air could possibly hold at that temperature. Warm air will hold more moisture than the same air when cold. Air absorbs water like a sponge to a point of saturation. When the air is filled with moisture, any change which takes place to reduce the temperature also reduces its capacity to hold the water vapor and the excess is deposited as dew. This supersaturation ordinarily takes place near things which lose their heat faster than the surrounding air and the nearest colder surface acts as a condenser to receive the drops of dew. Grass being in convenient position is the commonest receptacle for dew formation. If the dew forms in the air it falls as rain, but if the temperature of the dew-point is below freezing, the dew immediately freezes and snow is the result.

In the consideration of problems that involve atmospheric moisture, both relative and absolute humidity are factors of common use, that are capable of exact determination. The relative humidity of the air is most readily determined and as it expresses the state of the atmosphere in which plants and animals live and thrive, as opposed to other conditions of humidity in which they sometimes sicken and die, it is one of the indicators of the quality of atmospheric air.

In the subject of ventilation, which is undertaken later, it will be found that a definite knowledge of atmospheric humidity has much to do with the successful operation of ventilation apparatus. Most people recognize the “balmy air of June” without realizing just why at the same temperature other seasons are not so delightful. In reality it is the condition of atmospheric humidity combined with an agreeable temperature that gives the kind of air in which we find the greatest degree of comfort.

The effect of moderately warm humid air is that of higher temperature than the thermometer indicates. When the atmosphere is near the point of saturation, the evaporation which usually goes on, from the surface of the body, practically ceases. In summer time a temperature of 85°F. with relative humidity of 90 per cent. saturation seems warmer than a temperature of 100° at 40 per cent. saturation, because of the cooling effect produced by the increased evaporation due to the drier air.

In winter, when most of the time is spent indoors, in an atmosphere that is very dry, the sensation of discomfort produced by the lack of humidity oftentimes leads to physical derangements that would never appear under more desirable conditions. The cause of many ailments of the nose, throat and lungs during the winter months is attributed by physiologists to breathing almost constantly the dry vitiated indoor air. The cause of dry air in buildings is not difficult to explain; it is a great deal more difficult to realize that the lack of water breeds so much discomfort.

In order to express the condition of humidity that may exist in the average dwelling, office or school-room during the winter, it is most convenient to refer to the results of varying atmospheric conditions that are given in Table 1—Properties of Air—which appears below. In the second column of the table, under the heading “Weight of vapor per cubic foot of saturated air,” will be found the amount of moisture in grains per cubic foot that will be required to humidify air at different temperatures. It will be seen that at 10° the air will contain, when fully saturated, only 1.11 grains of water, while at 70° temperature the same air would hold 8 grains of water. These amounts will be found in the column opposite the temperature readings. It is at once evident that when saturated air at 10° is raised to normal temperature 70°, the original amount of moisture is contained in an atmosphere capable of holding 8 grains of water. Its relative humidity will therefore be 1.118, practically 14 per cent. saturated. Unless moisture is received by the air from some other source this condition will produce a very dry atmosphere.

The normal atmospheric temperature of 70°F. with a relative humidity of 50 to 60 per cent. saturation produces a condition that is one of agreeable warmth to the average person in health and is recognized as the atmosphere most desirable. To some, this state of temperature and humidity is that of too much warmth and a temperature of 68°, with the same humidity, is most agreeable. At the same temperature, a reduction of the humidity to 20 per cent. saturation will produce a feeling of discomfort and the sensation will be that of a lack of heat. The cause for this latter feeling is due to excessive evaporation of moisture from the body.

Table I.—Properties of Air

Temperature
of the air
Weight of vapor
per cubic foot
of saturated air
Weight of
cubic foot of
saturated air
FahrenheitGrainsGrains
10°1.11589.4
111.15588.1
121.19586.8
131.24585.5
141.28584.2
151.32582.9
161.37581.6
171.41580.3
181.47579.1
191.52577.8
201.58576.5
211.63575.3
221.69574.0
231.75572.7
241.81571.5
251.87570.2
261.93569.0
272.00567.7
282.07566.5
292.14565.3
302.21564.1
312.29562.8
322.37561.6
332.45566.4
342.53559.2
352.62558.0
362.71556.8
372.80555.6
382.89554.4
392.99553.2
403.09552.0
413.19550.8
423.30549.6
433.41548.4
443.52547.2
453.64546.1
463.76544.9
473.88543.7
484.01541.3
494.14542.5
504.28540.2
514.42539.0
524.56537.9
534.71536.7
544.86535.5
555.02534.4
565.18533.2
575.34532.1
585.51534.9
595.69529.8
605.87528.6
616.06527.0
626.25526.3
635.45525.2
646.65524.0
656.87522.0
667.08521.7
677.30520.0
687.53519.4
697.76518.3
708.00517.2

The evaporation of moisture is always accompanied with the loss of heat required to produce such change of condition. This is known as the heat of vaporization and represents a definite amount of heat that is used up whenever water is changed into vapor. No matter what its temperature may be—whether hot or cold—when water is vaporized, a definite amount of heat is required to change the water into vapor.

Water may be evaporated at any temperature; even ice evaporates. A common instance of the latter is that of wet clothes which “freeze dry” in winter weather when hung on the clothes line. The rate at which evaporation takes place depends on the dryness of the surrounding air and the rapidity of its motion. In dry windy weather evaporation is most rapid.

As before stated, whenever water evaporates—at no matter what temperature—a definite quantity of heat is necessary to change the water into vapor. The exact amount of heat required to produce this change varies somewhat with the temperature and atmospheric pressure but it always represents a large loss of heat. At the boiling point of water (212°F.) the heat of vaporization is 970 B.t.u. for each pound of water evaporated, but at a lower temperature it is greater than that amount. At the temperature of the body (98.6°) the heat necessary to evaporate a pound of moisture from its surface is 1045 B.t.u.

It is the absorption of heat due to evaporation that cools the air of a sprinkled street. The more rapid the evaporation the more pronounced is the decline of temperature in the immediate vicinity. The same effect is produced when moisture is evaporated from the surface of the body. The acceleration of evaporation caused by a breeze or the blast of air from an electric fan is that which produces the chilling sensation to the body. During winter weather the effect of the cold wind is rendered more severe by evaporation of moisture from the body. In health, the body being in a slightly moist condition, the evaporation which goes on from its surface is what keeps it cool in warm weather, but if on account of excessive dryness of the surrounding air the evaporation is very rapid, a sensation of cold is the result.

Not only does excessively dry air produce the sensation of chilliness but the loss of heat from the body due to sudden or long exposure effects the general health and is conducive to chills that are followed by fever. In health the temperature of the body is constant and normally 98.6°F.; any condition that reduces that temperature tends toward a lowering of vitality and the consequent inability to withstand the attack of disease. In a very dry atmosphere the skin, instead of being slightly moist, is kept dry, the result of which is the irritation that produces chaps and roughness of the surface.

Reports of the U. S. Weather Department show that the relative humidity of Death Valley, which is the driest and hottest known country, during the driest period of the year—between May and September—averages 15.5 per cent. saturation. In winter, many buildings, particularly offices and school buildings are not far from that atmospheric condition, constantly. Under the usual conditions of house heating, there is an almost absolute lack of means to give moisture to the air. Almost without exception steam-heating plants and hot-water heating plants in office buildings and dwellings are without any provision for changing the atmospheric humidity.

In school buildings that are not kept under a more desirable condition of temperature and humidity, the general health is impaired and the behavior of the pupils very markedly influenced. The tension of a school-room full of fidgety nervous children can be very promptly and greatly reduced by the introduction of water vapor into the air to 50 per cent. saturation.

All modern school buildings, auditoriums, etc., are provided—aside from the heating plants—with means of ventilating in which the entering air is washed and humidified to the desired degree, before being sent into the rooms.

The popular conception of the hot-air furnace method of heating is that it produces particularly dry air, when in reality it is the only type of house-heating plant in which any provision is made for adding water to the air. These furnaces are usually furnished with a water reservoir by use of which the humidity may be raised to a desirable point.

Much of the water which enters the air of the average home, during winter weather, comes from the evaporation that goes on in the kitchen. Usually on wash days the humidity is raised to a marked degree and that day is commonly followed by a short period of agreeable atmospheric condition. The arrangement of many houses is such that a much-improved condition of humidity might be obtained from the kitchen by continuous evaporation of water from a tea-kettle.

Relative Humidity
Depression of wet-bulb thermometer (t-t')

Air
temp.
t
1.0 2.03.04.0 5.06.07.0 8.09.010.0
3591827364554637292012
3691827365564839312314
3791837466584941332517
3891837567595143352719
3992847668605244372921
              
4092847668615346383123
4192847769625447403326
4292857770625548413428
4392857870635649433629
4493857871645751443731
              
4593867971655852453933
4693867972655953464034
4793867973666054474135
4893878073676054484236
4993878074676155494337
              
5093878174686256504439
5194878175696357514540
5294888175696358524641
5394888275706458534742
5494888276706559544843
              
5594888276716560554944
5694888277716661555045
5794888377726661565146
5894898377726762575247
5994898378736863585348
              
6094898478736863585349
6194898479746864595450
6294898479746964605550
6395908479747065605651
6495908579757066615652
Air
temp.
t
11.0 12.013.014.0 15.016.017.0 18.019.020.0
354         
366         
3791         
38124         
39147         
             
401692        
4118115        
42211470       
43231693       
442418125       
             
4526201482      
46282216104      
472923171261     
483125191483     
4932262115105     
             
50332822171272    
51352924191494    
5236302520151060   
5337322722171273   
54383328231814950  
             
553934292520151162  
564035312621171284
57413632272318141051
58423833282420151173
59433934302521171395
             
604440353127221814106
614540363228242016128
624641373329252117139
6347423834302622181411
6448433935312723201612

Relative Humidity (Continued)
Depression of wet-bulb thermometer (t-)

Air
temp.
t
1.02.03.0 4.05.06.0 7.08.09.0 10.0 11.0
6595 908580 757066 625753 48
6695 908580 767166 625853 49
6795 908580 767167 625854 50
6895 908581 767267 635955 51
6995 908681 777268 645955 51
               
709590 868177 726864 605652
719590 868277 736964 605653
729591 868278 736965 615753
739591 868278 736965 615854
749591 868278 747066 625854
               
759691 878278 747066 635955
769691 878378 747067 635955
779691 878379 757167 635956
789691 878379 757167 646057
799691 878379 757168 646057
               
809691 878379 767268 646157
829692 888480 767269 656258
849692 888480 777370 666359
869692 888581 777470 676360
889692 888581 787471 676461
               
909692 898581 787571 686562
929692 898582 787572 696562
949693 898682 797572 696663
969693 898682 797673 706764
989693 898683 797673 706764
               
1009693 908683 807774 716865
1029693 908683 807774 716865
1049793 908784 807774 726966
1069795 908784 817875 726966
1089793 908784 817875 727067