...led Newton to an erroneous value, c2=p/g=gff. Laplace corrected this to c2 = yp/g, where y denotes the ratio of the specific heat of air at constant pressure to that at constant volume; this factor allowed for the adiabatic changes of air temperature in such rapid...

...velocity of sound is equal to the product of the velocity which is given by the Newtonian formula, by the square root of the ratio of the specific heat of air under constant pressure, to its specific heat under constant volume”¿. Since this period, although...

...necessary correction follows from the heat generated in the compressions of sound waves and is equal to the square root of the ratio of the specific heat of air...pressure to its specific heat at constant volume. With this correction, Newton's analysis remained valid. That scarcely helped Newton as he prepared...

...equipartition theorem for average energies, which he had stated before. He applied this theorem to the ratio of the specific heat of air at constant pressure to that at constant volume and remarked, with reference to the disparity between the theoretical and the...

...than timat actually observed. He has also given a formula by which the velocity may be determined when the ratio of the specific heat of air at constant pressure to timat at constant volume is known. The determinatiorm of the elevation of temperature in air by compression...

...the law of non-transmission of heat, according to which 1 where ; is the number 1-41 which expresses the ratio of the specific heat of air at constant pressure to its specific heat at constant volume. On this supposition, the energy required would be Boyle's law expresses what actually takes place,...

...velocity of sound is equal to the product of the velocity which is given by the Newtonian formula, by the square root of the ratio of the specific heat of air under constant pressure, to its specific heat under constant volume"J. Since this period, although...

...compression took place rapidly in a well insulated chamber, we would have Zf_/Zi Pi I Vf (3) where 7 is the ratio of the specific heat of air at constant pressure to that at constant volume. A plot of Pf/Pi is given as a function of V^/Vf for each process in figure...

...p0 , the relation between p and p in the waves is » /«\ = k, ..................... (2) where y is the ratio of the specific heat of air at constant pressure to that at constant volume, and k is constant for the particular adiabatic described. Then, for adiabatic...

...theoretical calculation may be found in the Transactions of the Royal Society of Edinburgh, vol. xx. p. 192. The ratio of the specific heat of air at constant pressure to that at constant volume, as determined from the velocity of sound, is there taken as approximately...