of the Liquid and Gaseous States of Matter. 687 



contains the mean values of E o£ each liquid in Table II., 

 and the sixth column contains the values of 



258-8^- 



m 4/Sp2,3 





It will be seen that the two sets of values agree approxi- 

 mately with one another. The constant 258'8 was obtained 

 by dividing the values of E in Table III. by the corre- 



sponding values of v — 4 3 ^ and taking the mean of the 

 values obtained. l Pc 



In the equation expressing the equality of the work done 

 in passing from b to d in the figure either along the straight 

 or curved part, if we substitute for p from equation (6) and 

 integrate we obtain, assuming that the sum of certain terms 

 in the equation is zero, in a similar way as before, that 



80>f-ff)=Tlog& .... (12) 



where 



m 4J3 



and d is a numerical constant. This equation should be in 

 approximate agreement with the facts, since it is simply 

 the left-hand side of equation (11) expressed in a different 

 way. The-lef t hand sides of both equations (11) and (12) are, 

 according to equations (3) and (9), it will be observed, 

 equal to Lm multiplied by a numerical constant. K 2 we have 

 seen is a function of the temperature only and is approxi- 



T 



mately given by (7222-4422 ~r). Its exact form will be 



c 



investigated in a subsequent paper. 



At the critical point the value of E given by equation (11) 

 is an indeterminate fraction, and it will therefore be of 

 interest to determine its limiting value at that point. Let 

 p 2 = xpi and we have 



2-3E 



Pt 



1 x Jx=i P c L^u; J z=1 



changing in the beginning the logarithm from the base 10 



