CARNOT’S THEORY OF THE MOTIVE POWER OF HEAT. 563 
sumed temperature ¢. After the explanations of S§ 33, 34, 35, 36, it is only ne- 
cessary to add that ¢ is a quantity of which the value is very nearly unity, and 
would be exactly so were the capacity of water for heat the same at every tem- 
perature as it is between 0° and 1°; and that the value of c (S—2), for any assigned 
values of S and #, is found, by subtracting the number corresponding to ¢ from 
the number corresponding to s, in the column headed ‘“ Nombre des unités de 
chaleur abandonnées par un kilogramme d'eau en descendant de T° a 0°”, of the last 
table (at the end of the Tenth Mémoire) of Reanavuut’s work. By giving S the 
value 230°, and by substituting successively 220, 210, 200, &c., for z, values for 
X,Y, Z, y, have been found, which are exhibited in the following Table :— 
Volumes from the primi- 
tive position of the piston | Pressures of saturated 
Volumes to be de- 
scribed by the piston, 
to complete the 
fourth operation. 
to those occupied at steam, in pounds 
instants of the second on the square foot. 
operation. 
Temperatures. 
nae y=y =p 
w+ 6:409.H 12-832 
25:°567 
48°514 
88:007 
153°167 
256°595 
415-070 
650°240 
989-318 
1465-80 
2120°11 
2999-87 
4160:10 
5663°70 
758115 
9990-26 
12976-2 
16630°7 
21051°5 
26341°5 
32607-7 
39960°7 
; 48512-4 
°002643.H 58376-6 




