This section is from the book "The Elements Of The Science Of Nutrition", by Graham Lusk. Also available from Amazon: The Elements of the Science of Nutrition.
Roughly speaking, one-quarter of the heat eliminated by a man is present in the water vapor which is absorbed by the first sulphuric acid bottle on the absorber table. At 20º C. 0.586 calories are contained as latent heat in 1 gram of vaporized water.
The rest of the heat loss takes place by radiation and conduction. It is this heat which is measured by the calorimeter itself. The mechanism of the calorimeter is essentially twofold. In the first place, there is no heat loss through the walls of the apparatus, and, secondly, the heat produced by a man within is removed from the chamber by a current of cold water flowing through copper tubes suspended from the upper wall of the chamber. If the walls allowed no heat to pass, it is obvious that without the cooling effect of the water-pipes the temperature of the air in the box would soon attain the temperature of the human body instead of being about 230 C, at which it is usually held. The apparatus is therefore a constant-temperature, water-cooled calorimeter. It is evident that if no heat is allowed to pass through the walls of the calorimeter, then the heat produced within the chamber will be removed in the current of cold water flowing through the heat-absorbing pipes inside the chamber of the apparatus. If the temperatures of the ingoing and of the outgoing water are known and the quantity of water which has passed through the heat-absorber during an hour is measured, the quantity of heat carried away in the current of water can be accurately determined. For example, if the difference between the temperature of the ingoing and outgoing water is 2.50 degrees, and 20 liters of water have passed through the heat absorber in one hour, then 50 calories of heat have been carried away from the apparatus during the period. If the temperature of the walls within the apparatus has undergone a change this value is subject to corrections, but otherwise the total heat elimination of the person is measured by the 50 calories so determined plus the heat value of water vaporized during the hour.
To obtain an even flow of water through the heat-absorber the water is supplied from a constant-level tank placed above the calorimeter. To obtain ingoing water of an even temperature Williams passed the previously ice-cooled water current through a Gouy temperature regulator and then through a current regulator designed by himself. These improvements allow the ingoing water to enter the calorimeter at a temperature which may not vary more than 0.020 C. during hours of experimentation and, for the first time, permit the exact measurement of small quantities of heat in this type of apparatus. The temperatures of the ingoing and outgoing water are taken every four minutes by electric resistance thermometers and are read in connection with a galvanometer and Kohlrausch bridge on an observer's table. The quantity of the water-flow is determined by weighing; the water is diverted at the call of "time," so that the exact quantity for the hour is collected in a previously weighed receptacle.
Having learned how the heat produced within the apparatus is carried away, the problem of how to prevent loss of heat through the walls of the chamber remains to be discussed. This was accomplished through a device introduced by Rosa. The calorimeter is constructed of three walls, an inner copper wall which has already been described as the lining of the respiration chamber, an outer copper wall separated from the inner wall by a space of dead air, and an insulating wall (made of two layers of "compo-board," the space between them being filled with cork), which insulating wall is separated from the outer copper wall by a second space containing dead air. It is obvious that if the inner and outer copper walls of the calorimeter have the same temperature there will be no exchange of heat between them. Therefore, to prevent a gain or loss of heat by the inner wall, it is necessary to maintain the outer wall always at exactly the same temperature as the inner wall, under which circumstances the latter cannot gain or lose heat to its neighbor.
In order to detect differences in temperature between the outer and inner walls Rosa arranged thermo-couples in series between the two walls. In this fashion the top, sides, and bottom of the box are successively tested every four minutes by an operator at the observer's table to determine whether there is any difference in temperature between the outer and inner walls. If the outer wall is found to have a different temperature from the inner wall, its temperature is brought to that of the inner wall by the following device: A cooling current of water runs through pipes between the insulating and outer copper wall, and in this same space, along the line of the pipes, run "Therlo" resistance wires carrying an electric current for the warming of this interspace (see Fig. 2). By varying the intensity of the electric currents which severally supply the spaces to top, sides and bottom, the temperature of these spaces can be so controlled as to heat or cool the outer copper wall and maintain it at exactly the same temperature as the inner copper wall. This is the effective system which prevents a loss or gain of heat through the wall of the calorimeter.

Fig. 2. - This figure shows a small respiration calorimeter built by H. B. Williams for the Physiological Laboratory, Cornell Medical College, New York City. A dog, wearing a bandage which holds a rectal thermometer in place, is shown lying on a cot suspended from a frame which may at any time be slid into the open chamber of the calorimeter. This accomplished, the front is then sealed. The animal respires within the chamber; the water and carbonic acid which he eliminates are removed by circulating the air through absorbing chemicals, and fresh oxygen is admitted automatically to replace the oxygen absorbed by the animal. The heat produced by the dog is removed by a current of water flowing through a system of pipes within the calorimeter.
Resistance thermometers are attached to the inner walls of the calorimeter, and if the temperature of the walls rises or falls between the beginning and end of the experiment, a correction must be made. It has been found that 19 calories are absorbed by the Sage calorimeter when the inner wall rises 1 degree. Conversely, 19 calories are given up by a fall of 1 degree. This is the hydrothermal equivalent of the box.
The temperature of the air entering the box from the absorbing table is always heated to exactly the same temperature as the air leaving the box.
Finally, an electric resistance thermometer inserted 10 or 12 cm. into the rectum of the person in the calorimeter gives information regarding the retention or loss of heat in his organism. The specific heat of a man is assumed to be 0.83, that is to say, 0.83 calorie raises 1 kilogram 1 degree. If, therefore, the body temperature of a man weighing 70 kilograms rises or falls 1 degree, the quantity of heat lost or gained by the body will be 70 X 0.83, or 58.1 calories. This is on the assumption that the rise of body temperature is everywhere the same as takes place in the rectum, a supposition which, unfortunately, is not always true (see p. 132).
The accompanying scheme (on p. 68) gives the details regarding the employment of the three individuals who conduct a calorimeter experiment.
It may be added that special care has been taken to make the appearance of the calorimeter attractive to the eye, and that the spirit of the small ward in connection with the calorimeter work has been such that the patients have considered themselves especially fortunate when chosen for the diversion offered by a morning's occupancy of the apparatus.
Period of Observation. | Observer i, at Electric Control Table. | Observer 2, in Charge of Experiment. | Observer 3, Calculator. |
Eight minutes before. | Brings walls into exact thermal equilibrium. | Signals subject to lie absolutely quiet. | Starts passing first 10-liter sample of residual air through U tubes. |
Five minutes before. | Starts kymograph record of movements of spirometer. | ||
Four minutes before. | Finishes first and starts second residual. | ||
One-half minute before. | Takes final reading of air, walls, and rectal temperature. | Sets barometer. | Finishes second residual. |
At "Time". | Presses button which diverts stream of water from weighing tank. | Shuts spirometer off from box. Fills to standard level from oxygen tank. | Stops ventilating current of air. Turns valve to pass air through newly weighed absorbers. Starts ventilating current. |
Immediately after "Time". | Starts taking readings every four minutes of ingoing and outgoing water, of air, walls, rectal, and surface thermometers. Reads and adjusts temperature of top, sides, and bottom of calorimeter, of the ingoing air and water every four minutes, or oftener if necessary. | Records and sets work-adder. Signals to subject that he may move. Weighs oxygen tank and connects with box again. Weighs sulphuric and soda lime bottles. Connects them up again and tests for leaks. During remainder of hour counts pulse, inspects valves for leaks, adjusts temperature of room, watches subject, etc. | Weighs water tank which has received all the water from the heat absorber during the past hour. Diverts stream of water to this tank again. Records barometer. Weighs residual. Calculates results of the hour just finished. |

Fig. 3. - Showing the respiration calorimeter of the Russell Sage Institute of Pathology which is affiliated with the Second (Cornell University; Division of Bellevue Hospital, New York City. From left to right, observer 3 is at the "absorber table"; the residual U tubes and the 10-liter meter are on top; the "absorbers" of C02 and H2O are on the middle shelf, and the "blower" on the lower shelf. Observer 1 is at the electric control table. Observer. 2 is filling the spirometer with his right hand from an oxygen cylinder he is touching with his left.
 
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