32 R. Clausius on the Application of the 
place, instead of the constant factor, which has according to 
Joule the value already cited, 423°5 5, the other constant. 
423° 
1 55 
—— gmat 152 
(46) Ak 13596 bes 
: Ween ar 
and besides, in place of the work W, the quantity >- 1s first 
found, which must then be multiplied by & 
47. Let us now return to equations (xvit) and first consider 
the second of them. 
“his equation may be written in the following form: 
(47) T,93=C+4(t,—t,)—3(p,— 
in which the quantities C, a, and b are independent of ¢,, namely, 
[oat ater (24 aie =") +p,~Po)| 
eV 
any 4 A) 
” —~ Ak(e V—1o) 
anh A Beet hg 
~ eV—la 
Of the three terms on the right side of (47) the first prepon- 
derates by far, and hence it becomes possible to determine the 
prone Y’, g,, and thereby at the same time the temperature 
t, by successive approximation. 
“In order to obtain the first approximate value of the product 
which we may call 7"g’, substitute on the right side ¢, in the 
place of ¢,, and in like manner p, in place of ; p,, then we have 
(48) a a 
he temperature ¢’ belonging to this caine of the product is to be 
looked for in the table. In order to obtain the second approx- 
imate value of the product, put the value ¢ just found and the 
corresponding value p’ of the pressure on the right side of G7), 
for p, and ¢,, whereby we obtain, taking the previous equatio 
into consideration, 
(482) Tg! =T'¢ +a(t,-—t)- —b(p,—p’). 
The temperature belonging to this value of the product ¢” may 
be determined as before from the table. If this do not uaa 
vu ifs temperature ¢, with sufficient accuracy, repeat the 
me process. Substitute on the a side of ait 82 i and ei ua 
plies of ¢, and p,, by which w obtain, taki oe a abe 
equations into consideration, 
(48, ) Tg" = "9! +a(t—t")—8(p,—P" 
and can find the new value of the temperature ¢”” in the table. 
