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16,656 Hence work to be expected from the boiler: / 3,777 deg. - 849 deg. \ = 17,078 units X ( --------------- ) - 422 units \ 3,777 deg. / ---------------------------------------------- = 13.27 lb. 966 units of water evaporated from and at 212 deg., corresponding to 12,819 units. The actual result obtained was 11.83 lb.; hence the efficiency of this boiler was 11.83 ------- = 0.892. 13.27 I have already claimed for a boiler that it is a veritable heat engine, and I have ventured to construct an indicator diagram to illustrate its working. The rate of transfer of heat from the furnace to the water in the boiler, at any given point, is some way proportional to the difference of temperature, and the quantity of heat in the gases is proportional to their temperatures. Draw a base line representing -460 deg. Fahr., the absolute zero of temperature. At one end erect an ordinate, upon which set off T = 3,777 deg., the temperature of the furnace. At 849 deg. = _t_, on the scale of temperature, draw a line parallel to the base, and mark on it a length proportional to the heating surface of the boiler; join T by a diagonal with the extremity of this line, and drop a perpendicular on to the zero line. The temperature of the water in the boiler being uniform, the ordinates bounded by the sloping line, and by the line, _t_, will at any point be approximately proportional to the rate of transmission of heat, and the shaded area above _t_ will be proportional to the quantity of heat imparted to the water. Join T by another diagonal with extremity of the heating surface on the zero line, then the larger triangle, standing on the zero line, will represent the whole of the heat of combustion, and the ratio of the two triangles will be as the lengths of their respective bases, that is, as (T - _t_) / T, which is the expression we have already used. The heating surface was 220 square feet, and it was competent to transmit the energy developed by 41 lb. of coal consumed per hour = 12,819 u. x 41 u. = 525,572 units, equal to an average of 2,389 units per square foot per hour; this value will correspond to the mean pressure in an ordinary diagram, for it is a measure of the energy with which molecular motion is transferred from the heated gases to the boiler-plate, and so to the water. The mean rate of transmission, multiplied by
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