PAPER BY PKOF. BEZOLD. 



275 



In the accompanyiiig: Fig. 43, ?/i is represented by Ti Fj, and fi is rep- 

 resented by Fi jP,, but the remaining lettering certainly needs no fur- 

 ther explanation. 



However, one thing may be especially noted, that the lines which rep- 

 resent the liquid or frozen * water are limited by two arrow points di- 

 rected away from each other, since this 

 facilitates a quick comprehension. 



If now w?i and niz are the quantities of 

 the two components that enter into the 

 mixture and we assume here also again 

 that at first both the vapor and also the 

 water are uniformly distributed in the 

 mixture, and that evaporation of the 

 water first occurs afterwards insofar as 

 the saturation of the mixture with vapor 

 allows of any such evaporation, then, just 

 as before, we attain to a state of transition 

 for which the corresponding quantities are 

 appropriately indicated by the subscripts. 



The difference between this transition state and the air that is sat- 

 urated by mixture consists in this, that in the present, case the air 

 actually passes through the transition state, whereas in the preceding 

 article it was only imagined for convenience of computation. 



In this transition state the quantities y^ of vapor and ^3 of water 

 exist in one kilogram of the mixture before fhe dissolution occurs as 

 is given by the equations 



Fig. 43. 



and 



y 3—1/1 _ h—ti _ W2 

 2/2—1/3 4—^3 nil 



yi—ih _ U—t\ _m2 

 ys ~t2—t~mi 



which equations lose their apparent want of symmetry when we remem- 

 ber that J/2=i/2 and that 2/2=0. 

 Moreover, just as before, we have 



y\—y2_h—ti_m2 

 y3—y2 ti—ts nil 



In Fig. 43, ^3 is leprcseiited by the line T3 P3 and ^3 by the line 

 -F3 F3. 



* lu geueral I assume iu what follows that the temperature is above zero, since it is 

 not difficult to modify the considerations appropriately for lower temperatures. But 

 if we would also consider those cases in which water aud ice exist alongside of each 

 other or where water is present at temperatures below zero, then the investigation 

 would become inordinately complicated. 



