BY IIEAT OF WATEE AND MERCURY. 



241 



Table VII. 



To express the volumes in one formula would require too many terms, as it was found 

 by calculation that the following formulae did not express the results with sufficient 

 accuracy between 4° and 100°, 



Nt=a-\-U-^ct^-^dt\ 



I therefore employed two formulae to express the expansion of water between 4" and 

 100", the first for temperatures between 4° and 32°, being 



V,=l-0-0000025300(iJ-4)+0-00000083890(^-4)^-0-00000007173(^-4)\ 



the second for temperatures between 32° and 100°, 



V,=0-999695+0-0000054724f-0-000000011260f. 



In calculating the first formula, the observations at 19°-75 and 20°-90 were omitted, 

 as by previous calculations they were found to be faulty. To prove that the impurities 

 contained in the water used for the foregoing experiments have no influence on the 

 results, a short series was made with common water. I do not, however, intend to 

 convey the idea that the water was not pure in the ordinary acceptation of the word, 



MDCCCLXVI. 2 L 



