360 KEYES ART. J 



Taking the first we find, using (VII), 



/*" amiH^ /dBi\ ^ , , 



€l = 



where f(t) is a pure temperature function. The integral may be 

 taken from v = oo to y, resulting"^, if 5 is a pure temperature 

 function, in 



n amiH^ /dBA 



., = »,j_^o.'d<-„-^^_(-) + mA, (59) 



where Ei is a constant of reference for energy, and c* is the heat 

 capacity for constant volume at infinitely low pressures, — a pure 

 temperature function. 



The other equation of the pair gives for e 



«i = mi I Ci*dt + / 



J to J to 



since 



J ' 



— tfao 



(S) n '" "^ '"'^" '®*" 



(g)/v, m = c*, 



where c* is the heat capacity of a gas at infinitely low pressure 

 and is known to be a pure temperature function. But 



'(S). = mKI).-p]' 



whence the second integral above becomes 



