G74 Dr. R. D. Kleeman on the Equation of Continuity 



where a u a 2 , a 3 are the coefficients of <r\ cr 3 , er° in equation (7). 

 From equations (b) and (c) we obtain 



70o- 9 + 28a 1 cr 6 = 0, 

 which, on making the necessary substitutions, reduces to 



Equations (a) and (A) give the equation 



7o- 10 + 4a 1 (7 7 -3a 3 = 0, 

 which becomes 



riA, kj 



^= 2-5 



=Jb©'W^, 



where K2 is the value of K 2 at the critical state and is the 

 same for all liquids. We have already found a relation of 

 this nature connecting the critical constants *. It is there- 

 fore one of the conditions for the correctness of the equation 

 of state that it should lead to this equation or to equations 

 from which it can be deduced. 



From equations (/>) and (c) we also have . . 



30a 9 - ^a 2 = 0, 



which, with the help of the results just obtained, reduces to 



P = 5S* 



Fc m2'l 



This is the well-known law of Young and Thomas. The 

 constant 2*1 is, however, too small, the mean value according 

 to the facts is 3'7. 



The proposed equation of state thus leads to two known 

 relations between the critical constants, but the numerical 

 eonstants involved do not agree with the facts. It will 

 therefore be necessary to introduce some modifications into 

 the equation. These should first of all take into account that 

 b is not a constant. Since we know nothing as to the exact 

 nature of the variation of b, let us assume 



b = (>!- 7*2/>)» 



* Loc. cit. 



