JAMES PRESCOTT JOULE 183 was exhausted. When the temperature of the water had become uniform and constant, the stop-cock was opened, and the air allowed to rush from the filled into the empty receiver. The tank water was stirred and its temperature again measured. No nett change in temperature could be observed, so Joule deduced that "no change of temperature occurs when air is allowed to expand in such a manner as not to develop mechanical power " He repeated the experiments with the two copper receivers and the connecting tube in three separate water tanks. He found that 2-36° of cold was produced in the water surrounding the receiver which had contained air at pressure, and 2-38° was produced in the previously empty receiver, while 0-31° appeared in the water surrounding, the stop-cock tube. After allowance for conduction of heat into the cold receiver, these figures satisfactorily balanced, One of the copper receivers, containing air at high pressure, had a spiral leaden pipe attached to the stop-cock. The receiver and spiral were put in a water tank, and the air allowed to escape through the pipe into a jar by which its volume could be measured. The cold produced was equal to the quantity required to decrease the temperature of i Ib. of water by 4-085° F, The work needed to compress the gas was 3,352 foot-pounds, giving 820 as the mechanical equivalent of heat. Joule writes that these results are inexplicable on the assumption that heat is a substance, but are "such as might have been deduced a -priori from any theory in which heat is regarded as a state of motion among the constituent particles of bodies." He concludes the paper by commenting that his results appear to be in contradiction with the views of Carnot and Clapeyron, who suppose no heat is lost in the working of the steam-engine. "The theory here advanced demands that the heat given out in the condenser shall be less than that communicated to the boiler from the furnace, in exact proportion to the equivalent of mechanical power developed." By these experiments Joule proved to a high accuracy