296 M. Avogadro on the Relation, 6fC. 



But 316.16, quadrupled = 1265, not very different from 

 1160, and 57.45, taken 16 times = 919, not very different 

 from— 1160. 



By taking a new value of a for sulphuret of carbon, we ob- 

 tain 1075, which approaches still nearer to 1160 than 919 

 does. 



In the transformation of the formula for the purpose of 

 comparing it with that for solid bodies, which occupies the 



second section, M. Avogadro, taking D = „. . , obtains 



/TIT 



A = 1.475 v jj, almost exactly the same as A = 1.472 



3 /M . . . . 



V j5~, which he obtained for solid bodies. 



The formula for solid bodies, thus connected with the for- 

 mula for liquids, is obviously inexact for bodies which undergo 

 a dilatation in place of a condensation, when they become 

 solid. In order to apply the formula to such bodies, we 

 must determine their dilatation by experiment. In this case, 

 and in general for all bodies of which we know immediately 

 the condensation and dilatation, we may make it enter into the 



formula, in place of the supposed relation of D' = -j^ and 

 calling the ratio «, we have D — nD' or D' = — , n being 



a number greater than unity or a fraction, according as there 

 is condensation or dilatation. The formula will then be, 



3 /M ..r.- 



A - 1.449 V ^ = 1.449, V~^ V^" 



n 



And there will remain in this formula no other hypothetical 

 approximation, than that which results from the supposition, 

 that the coefficient really variable in the formula for liquids, 

 is constant and equal to that which takes place in alcohol, ac- 

 cording to our calculations. 



The general formula, free of every supposition, for solid 

 bodies, taken with their density, D, at the temperature zero, 

 will be, 



A = 1.1555'/ 1+ ^ T 3 /M 3 ,— 



