ME. W. CEOOKES ON TIIE ATOMIC WEIGHT OF THALLIUM. 
321 
To illustrate the application of this formula, I will reduce the weighings of one of the 
determinations (E). 
Substance 
Balance Weights, 
True value 
weighed. 
used. actual. 
in air. 
(H) 
(W) 
(w) 
Glass apparatus. 
Vac. 765-80S1 
765-814578 
(H) 
(y) 
in) 
Glass apparatus. 
Vac. 766-1133 
766-122626 
Weight of air displaced. 
Temperature. 
Bar. (reduced to 32° F.). 
(*) 
„ (*) 
Cp) 
0-044547 
65 c F. = 18°-5 C. 
29-848 
(vol. in water max. dcn- 
(758-125 millims.) 
sity = 36 -326) 
(O 
(*') 
0-044546 
63° F. = 17° C. 
1-173 in. 
(29 - 79 millims.) 
CALCULATION OF VACUUM-WEIGHT OF FLASK FROM ABOVE WEIGHINGS. 
Let A = true weight in vacuum of flask, 
^ = 765*814578, 
x= 0-044547, 
£=65° F. = 18°-33 C., 
j)— 29-848 in. = 758-12 millims., 
A= 36-326, 
^=766-122626, 
t'= 63° F.=17°-2 C., 
yj— 1-173 in. = 29-79 millims. 
lof 
density atmospheric air 
max. density water 
flog 758-12-4-00 + 4-204149- 10; 
= 2-8774430+4-204149-10; 
= 7-0815920-10. 
log J'=log 766-122626-log 765*814578 + log 36-326 ; 
.-. ^=2-8842970 — 2-8841230 + 1-5602176; 
.-. £'=1-5603916. 
log — — f rarC ; llI =log (29-79-3-63) + 4-204898-10 ; 
& max. den. water ° v ' 1 
= 1-4176377 + 4-204898-10; 
= 5-6225357-10. 
