The calculation of the heat developed in the apparatus is made by means
of the formula C × E × _t_ × 0.2385 = calories, in which C equals the
current in amperes, E the electromotive force, and _t_ the time in
seconds. This gives the heat expressed in calories at 15° C. This
procedure we have followed as a result of the recommendation of Dr. E.
B. Rosa, of the National Bureau of Standards. In order to convert the
values to 20°, the unit commonly employed in calorimetric work, it has
been necessary to multiply by the ratio of the specific heat of water at
15° to that of water at 20°. Assuming the specific heat of water at 20°
to be 1, the specific heat at 15° is 1.001.[16]
Of the many electrical check-tests made with this type of apparatus, but
one need be given here, pending a special treatment of the method of
control of the calorimeter in a forthcoming publication. An electrical
check-experiment with the chair calorimeter was made on January 4, 1909,
and continued 6 hours. The voltmeter and mil-ammeter were read every few
minutes, the water collected in the water-meter, carefully weighed, and
the temperature differences as measured on the two mercury thermometers
were recorded every 4 minutes.
The heat developed during the experiment may be calculated from the data
as follows: Average current = 1.293 amperes; average E. M. F. = 109.15
volts; time = 21,600 seconds; factor used to convert watt-seconds to
calories = 0.2385. (1.293 × 109.15 × 21600 × 0.2385) × 1.001 = 727.8
calories produced.
During the 6 hours 237.63 kilograms of water passed through the
absorbing system.
The average temperature rise was 3.04° C., the total heat brought away
was therefore (237.63 × 3.04) × 1.0024[17] = 724.1 calories.
Thus in 6 hours there were about 3.7 calories more heat developed inside
the apparatus than were measured by the water-current, a discrepancy of
about 0.5 per cent.
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