§ 13 



OF ARTS AND SCIENCES. 



409 



the free path, latent heat, elasticity, expansion, critical 

 temperature, specific heat, and capillarity; and It is evident 

 that we may completely eliminate the free path, and have 

 five equations connecting the remaining constants, or. If 

 we choose to leave out the surface tension, which alone 

 Involves the doubtful factor /, have left four equations 

 connecting the five most Important physical constants. 

 It follows that. If the value of a single one of these 

 is given, that of all the rest will be determined; If two are 

 given, .then the others may be determined. Independent 

 either of the molecular distance or 'of the principal ratio; 

 if three are given, all may be determined, independent of 

 any theoretical consideration. 



It is not proposed to work out a multitude of equations 

 which can evidently arise from the various combinations 

 of these quantities; it will be sufficient to deduce a few 

 which will be found convenient for actual use, and others 

 by which the Theory may be thoroughly tested. 



For instance, from (i), (4) and (5), 



Zwe = (5-922 -f- 7.89667") 



From (i) we have 



LJD = EeT\i — ^'"-^ 1 

 L 2o%m J 



From II. and (2) we have 



/Z//>=3.i5.sTi- -'"-^1 



L 26%'in J 



From II. and III. we have 



From III. and (3), 



/(a- II')JB = 3.is Se [i 





L 



II. 





III. 



IV. 



V. 



