628 Mr. Rankine on the Centrifugal Theory of Elasticity , 



The values of the constants u, y9, 7, e, and of their logarithms, 

 are given, together with the mean temperatures above the free- 

 zing-point at which M. Regnault's experiments were made, for 

 atmospheric air, carbonic acid gas and hydrogen. 



Atmospheric Air. T=4°*75. 



Constants. Logarithms. 

 « = - 7 = - -000860978 49349920 

 /9= + -000011182 5-048514Q 



6= --000009700 6-9867717 



Carbonic Acid Gas. T = 3°-27. 



«= -7= --00641836 3-8074242 

 y9=: --0000041727 6-6204126 



€= + -0000865535 5-9372846 



Hydrogen. T=4°-75. 

 «= -7= + -000403324 4-6056546 

 ^=: + -0000048634 6-6869401 



€= - -0000044981 6-6530291 



The three substances above-mentioned are the only gases on 

 which experiments have yet been made, under circumstances 

 sufficiently varied to enable me to put the theory to the test I 

 have described in article 22. 



(25.) M. Regnault has determined the values of the coeffi- 

 cient of elasticity E for carbonic acid at four different densities, 

 and for atmospheric air at ten. By applying equations (23) and 

 (24) to those data, I have ascertained that the function A for 

 these two gases may be represented empirically, for densities not 

 exceeding that corresponding to five atmospheres, by the formulse 

 given below, which lead to formulae for the coefficient E, 



For Carbonic Acid, 

 where log a =0-3344538, and consequently 



nMPo C V''"C + 100' nM/ 

 log ^^j:^ =3-7608860. 



(25) 



