the Transparent Liquids by Increase of Temperature. 353 



The figures in the Table, it will be seen, are carried to seven 

 places of decimals ; but the differences between the observed and 

 calculated volumes of alcohol commence only in the fourth place 

 of decimals when largest, and generally with only small num- 

 bers. We may conclude that alcohol is subject to the law of 

 hyperbolic expansion ; and in the theory of the spirit thermometer 

 this point must be remembered. 



For ether (oocyde d'ethyle), specific gravity =0-73581, taking 

 the experimental volumes at the temperatures — 15 0, 36C, 0°C, 

 and + 38°-14 C, that at 0° C. being unity, the values of the 

 constants were found as follows : — 



a = -1969908, 



b = 530-8687, 



c 2 = 426-2927, 



and they give the results in the third column of the Table. 



Temperature 



Volumes of 



Volumes 





by Centigrade 



ether observed, 



calculated by 



Differences. 



thermometer. 



being 1 at 0° C 



the formula. 





-15-36 



0-9774193 



0-9774195 



+ -0000002 



-14-60 



•9785231 



•9785068 



- -0000163 



-13-25 



•9803646 



•9804458 



+ -00008 12 



-12-19 



•9818079 



•9819751 



+ •0001672 



-11-51 



•9828267 



•9829590 



+•0001323 



-10-11 



•9847827 



•9849932 



+ 0002105 



- 7-36 



•9889160 



•9890195 



+ 0001035 



- 5-54 



•9916470 



•9917068 



+•0000598 



+ 771 



10116393 



10118347 



+•0001954 



10-26 



10155083 



1-0158258 



+ -00031 75 



13-04 



10197512 



1-0202218 



+•0004706 



1509 



1 0233022 



1 0234937 



+•0001915 



18-98 



10294103 



1-0297746 



+•0003643 



20-64 



10318251 



10324837 



+ -0006586 



23-36 



1-0365665 



1-0369618 



+ -0003953 



2616 



10412668 



10416218 



+ -0003550 



28-83 



10458173 



10461138 



+ -0002965 



31-86 



1-0508910 



1-0512698 



+•0003788 



31-99 



10512383 



10514922 



+•0002539 



3407 



1-0548987 



10550700 



+•0001713 



35-85 



1-0581201 



10581556 



+•0000355 



3814 



10621575 



10621578 



+ -0000003 



The differences in the Table commence when largest only 

 in the fourth place of decimals, and generally with small num- 

 bers. With one exception they are positive; and by redu- 

 cing the value of a by unity in the fourth place of decimals, 

 several would have become negative but small, and the remain- 

 ing positive differences would have been reduced in value. Ether 

 evidently follows the law of hyperbolic expansion. 



