•1821. ] Causes of Calorific Capacity, Latent Heat, fyc. 99 



Substituting in the equation of the preceding cor. the values of 



V 448 + F„ 



x and T, derived from these equations, we obtain v ^ + g 



/ / 448 + F, v 

 __ ^JV \448 + FJ (44g + F) x 



f / Z 448 + F - ) ") " 



1 "*" V U48 + F / V __ ^g^ t j ie game ag J ^yg gi ven [ a 



p. 403 of the first volume of the Annals, New Series. This 

 theorem, however, as it was then published, I obtained by a 

 very different process from a complex theorem on the mixture 

 of gases. 



Cor. 3. —When »W = W, r - ■ n+l • 



Cor. 4. — By pursuing the same course, as in the third corol- 



. / /448 + Fa 



lary, we get ^ (gi£) = ' *" " V (fiTTr) ^^ 



v n + 1 



therefore, F lt = (448 + F) x {^-lll^^Kltl} 



— 448, which is the other theorem I have given in the same 

 p. 403, and which I also deduced from a theorem on the mixture 



of gases. 



Scholium. 



These theorems being investigated without any reference to 

 the law of expansion of the body experimented with, should 

 hold good whatever body we use, whether it be a solid, fluid, or 

 air, as long as we can make the experiments correctly with it, 

 and whatever be its relative rate of expansion to other bodies, 

 provided, however, the portions of the body be mixed in the 

 same state, that is, either in the solid, or fluid, or aeriform. 

 Unfortunately, we have no extensive series of experiments to 

 compare these formulae with. De Luc has made two with 

 water within the temperatures of ice melting and water boiling ; 

 and I have made several others, including a much greater range, 

 with mercury. 



De Luc mixed water at 200-7° with an equal weight at 45° of 

 Fahrenheit, and found the temperature of the mixture 122*8° — 

 2-5° = 120-3°. 



By the preceding tables, 



200*7° give T = H62-6 



and 45° give T 1 = 1013-5 



2)2176-1 



and, therefore, by Cor. It ....... = 1088*05 



h2 



