(45 ) 



again from R^. In R^ the pressure is already negative, and it 

 becomes again = — 27 pi in A. (See § 4 at b). 



Wlien (f = 2, we find easily from the equations derived in § 3, 

 that then t,/t, = 2'/\ and ^1/7;,= ""/.j. So if T, is again =1, then 

 T, = 2,37 and 7\ = 5,33. Now T, is higher than T,. 



b. Some mathematical and numerical details. 



Much having already been derived in § 4, it will suflice to give 

 some few values. 



Of the two plaitpoint curves the following points were calculated 



71 = —27 —17,3 —7.90 —5,16 —4,62 —3,98 49 and oo 



The separation between the negative and positive pressures on the 

 spinodal curves is given by 



ü>= 1 0,9 0,894 0,606 0,6 0,5 



_ I 0,31 0,40 0,40 0,31 

 '^ ~ i 1 0,50 0,40 0,40 0,50 1 



The places where x has here two equal values, are easily found 

 from the value of x given in § 4. Evidently we must have then 

 <9 =: (1 — to) (2 to — 1) =z Vi,. This gives to = 0,894 and 0,606, = 

 \/^ (3 ±7, 1/3). For (f = l 6 would have to be V,, and there are 

 no values of co which satisfy this condition. 



For the calculation of the different spinodal curves it is convenient 

 to know the limiting values of t again. We find for x^=0: 

 Vö=V- = l 1'25 1,50 1,75 2 2,25 2,50 2,75 3 



T = 0,51 1,19 1,68 2 2,20 2,30 2,36 2,37 

 For x^l these values are all l^j^ times greater. 

 For X = 7j we find with the same values of to : 



T = l 1,60 2,53 3,20 3,63 3,88 3,99 4,04 4,04 

 to = 1 yields the same values as in ^ 4 for (pz=l. 

 CO = V» yields : 



