Corrections of the Nitrogen Scale. 
and identify r with 6, we get 
T -^=n A (&-s ) +Bi ^^„---6)} 
where 
533 
(17) 
(18) 
In Table III. are given numerical values of the constants 
for use in computing, including the values of 6 found by 
carrying on the successive approximations until the last 
two values of 6 differed by less than 0°*001. The values 
of the coefficient of expansion a are from Chappuis's* de- 
terminations. The figures given for each gas form a consistent 
system of values which may be substituted in equation (17) 
for finding the relation of the constant-pressure scale of that 
gas to the thermodynamic scale. After finding the value T 
corresponding to a given value of 0, we form the differences 
6 — 6 and T— T . The quantity 6 — O is the centigrade 
thermodynamic temperature t e , while T — T is the centigrade 
constant-pressure temperature t p . The " scale correction/' 
or the amount by which the temperature on the constant- 
pressure scale lags behind that on the thermodynamic scale 
when both are made to agree at 0° and 100°, is then simply 
to — ip- 
Table III. 
Data for computing the Constant-Pressure Scale-corrections. 
Pressure, tc (mm.) 
h ! 
log 10 A 
l-f-100 a 
Air. 
1G01 
665 
236589 
450392 
1-367282 
:7< 
273-273 
JNitrogen. j Hydrogen. 
1002 
61 
241525 
4-50992 
1-367315 
272-246 
273-286 
1000 
16 
-"•22721 
4-98391 
1-366004 
273-221 
273019 
Carbonic 
Acid. 
998 
152-2 
2-45709 
4-23553 
1-374097 
267-310 
273-267 
Trav. et Mem. Bur. Lit. xiii. (1903). 
