244 APPENDIX B. 



We will not enter into the details of the calcula- 

 tion necessary to determine these quantities. It 

 is sufficient to say that the following values, 



A' = 19.64, 

 B= -1000, B' = 3.30, 



satisfy fairly well the prescribed conditions, so that 

 the equation 



_ 2268 - 1000 log v 

 ' 19. 64 + 3.30 log v 



expresses very nearly the relation which exists be- 

 tween the volume of the vapor and its tempera- 

 ture. We may remark here that the quantity B' 

 is positive and very small, which tends to confirm 

 this proposition that the specific heat of an elastic 

 fluid increases with the volume, but follows a slow 

 progression. 



NOTE E. Were we to admit the constancy of 

 the specific heat of a gas when its volume does not 

 change, but when its temperature varies, analysis 

 would show a relation between the motive power 

 and the thermometric degree. We will show how 

 this is, and this will also give us occasion to show 

 how some of the propositions established above 

 should be expressed in algebraic language. 



Let r be the quantity of motive power produced 

 by the expansion of a given quantity of air passing 



