534 Mr. E. Buckingham on the Thermodynamic 
Equations (14) and (15) may be treated in a similar way- 
For equation (15) the form of! the integral, assuming C p to 
be sensibly constant, is the same as for equation (11). For 
equation (14) it has one more term and is therefore slightly 
less convenient for computing. The values of the constants 
need not be given, as they follow from Table II. and equa- 
tions (14) and (15). 
5. Constant-Pressure Corrections for Nitrogen. 
If the foregoing methods be used to compute the thermo- 
dynamic corrections of the constant-pressure hydrogen scale, 
the results do not agree, except qualitatively, with those of 
D. Berthelot* and Callendar f. The two methods of com- 
putation used by Callendar also give very different results. 
All the computed corrections are small, and it seems probable 
that the true corrections are negligible except in work of 
the highest precision, but the absolute values cannot be 
determined with certainty from the data at present available. 
In the case of nitrogen the state of affairs is more satis- 
factory. In Table IV. are collected the results of Rose- 
Innes J, Callendar, Berthelot, and the writer for temperatures 
between the ice and steam points. The figures given by 
Bose-Innes and Callendar for atmospheric pressure have been 
multiplied by | to make them comparable with the others. 
The agreement of the four sets of corrections is satisfactory. 
Table IV. 
Thermodynamic corrections of the Constant-Pressure Nitrogen 
Scale between the ice and steam points, for 7r = 1000 mm. 
(The corrections are to "be subtracted from the constant-pressure readings.) 
t°G. 
Rose-Innes 
Callendar 
Berthelot 
Buckingham 
Mean. 
(1901). 
(1903). 
(1903). 
(1907). 
10 
0-0120 
0-0109 
0010 
00078 
0010 
20 
0-0205 
00188 
0017 
00137 
0-017 
30 
00261 
00236 
0022 
00179 
0-022 
40 
0-0288 
0-0260 
0-024 
00203 
0-025 
50 
0-0289 
0-0260 
0024 
00209 
0-025 
60 
00269 
0-0240 
0022 
0-0198 
0-023 
70 
0-0228 
0-0204 
0-019 
00172 
0020 
80 
00168 
00151 
0014 
0-0129 
0015 
90 
0-0092 
0-0081 
0-007 
00071 
0008 
* Trav. et Mem. Bur. Int. xiii. (1903). 
t Phil. Mag [6] v. p. 48 (1903). 
| Phil. Mag. [6J ii. p. 130 (1901). 
