some New Equations derived therefrom. 29 



and thus 



and 



p _ -Lt . ± e 



rc ~ 2V C ' 



or 



2P C .V C =R.T C , . 



• • (9) 



P- a - 



a 



2 = Pl c 



• • (10) 



As Pc=P, c , we can write (i») 2P lc . V C =R. T c . 



n c .Y c =R.T c , (11) 



which is the " gaseous law " for the critical state. 



Equation (10) shows that critical " Inward Pressure" and 

 critical pressure are equal, a deduction obtainable in an 

 entirely different and independent manner, as will be shown 

 later on. 



We will, however, first introduce yet another correc- 

 tion which, together with the preceding ones, leads up to 

 interesting results. 



III. 



Another factor influencing the number of molecules 

 per unit of volume is the temperature. 



In equations (A), (B) and (C) we consider V as a fraction 

 of the original volume at the temperature T. 



If, however, V is given as a fraction of V , i. e. of the 

 volume reduced to 0° C. and 760 mm. pressure, it is 

 necessary to introduce yet one other correction. 



At the temperature T and pressure P = -^— the number 

 of molecules contained by V is 



N 

 €=7p.273 (molecules of a perfect gas). 



Hence the factor of specific density v has to be corrected 

 in the same manner, and we obtain for equation (A) 



or 



p + (v^y 2 = v ; (Al) 



and instead of (0) we obtain 



