14 



PROCEEDINGS OF THE AMERICAN ACADEMY 



that I unhesitatingly lay it aside. I thus obtain by the method of 

 least squares fer measurements 1 to 22 on dry air, 5th series, 



= 1 + 0.002751 i — 0.00000034 t\ 



between the temperature limits of 0° and 100°C. The last col- 

 umn of the table, headed d, gives the deviations of the observed 

 means from tlie values of — , computed for the same temperatures <., 



by the preceding equation and given in the ninth column. The 

 average deviation of the means from the equation is thus only 0.0003, 

 or about 0.03 per cent, for the first five means, the deviation of the 

 sixth mean being ten times the next greatest deviation. The average 

 deviation of the individual observations from their respective means, 

 disregarding the correction corresponding to the slight differences of 

 the observed temperatures from the mean, is 0.0012 or about 0.1 

 per cent. 



Carbonic Acid. CO^. 



First Series. — 21 measurements were made in January, 1879, after 

 the close of the fourth series on air, and with the same apparatus, 

 with the addition of the necessary apparatus for holding the gas. 

 The precision of the results was less than in the fourth series for air, 

 chiefiy because of the somewhat greater complication of the appara- 

 tus for the supply of the gas. The results are of little value, but are 

 given as a check on the second series. The pressures were about the 

 same as in Nos. 49 to 98 of the fourth series on air. The temperature 

 ^j of the first capillary was always 0° C. The following Table V. 

 gives the mean results. The coefficient of expansion used was 

 0.003G99, a value taken from Regnault's work by interpolation for 

 the actual pressure p.-^ , under which the expansion occurs. 



The column headed n gives the number of measurements going to 

 make up the corresponding means. 



TABLE V. — CO.,. First Series. 



