SPECIFIC GRAVITY AND DISPLACEMENT OF SOME SALINE SOLUTIONS. 183 



is also the value at w= 1/64. There is a slight rise to the value 17-86 at m= 1/128, 

 and a sudden fall to 8*27 at m= 1/256, with an equally sudden rise to 29-80 at m= 1/512. 

 The value at m= 1/1024 is 4-10. 



In the case of calcium chloride there is a steady decrease from the value of 25*81 at 



The value 

 1/512. The 



w=l/2 for %— to 8-13 where m=l/32, with a rise to 25-14 at m=l/64. 

 dm 



decreases to 2 TO 9 at m= 1/256, where there is a sudden fall to 9-11 at m = 



value at w= 1/1024 is 2294. 



The values for v/in for concentrations below m = 1 are on arithmetical grounds more 



dA 

 regular in all three cases than the corresponding values for -^. The value for 



beryllium chloride at m=l/2 is 28-04, and this value decreases regularly to 26-37 at 

 m= 1/16, where there is a rise to 38-39 at m= 1/128, after which the rate of increase is 

 greatly augmented, and reaches a value of 176'13 at m= 1/1024. 



The value oi v/m for magnesium chloride at to = 1/2 is 19-81, decreasing to a value 

 of 13-50 at m= 1/128, and rises to 18-74 at m= 1/256, with a sudden fall to 7-68 at 

 771=1/512, rising to 11-26 at w= 1/1024. 



Calcium chloride shows the least tendency to sudden variations in the values of 

 v/m, since the maximum amplitude is between 22*54 and 14*23 at m=l/2 and 

 m= 1/256 respectively. With the exception of the value 22'52 at m = 1/32, there is a 

 fairly regular decrease between the two values quoted above, the rate of decrease taking 

 place in two phases, the rate being greater between m= 1/32 and 1/256 than between 

 m= 1/2 and 1/32. 



There is a rise to a value of 19*35 at m= 1/512, and this decreases to 15*77 at 

 w= 1/1024. 



It is seen that the value of v/m at m = 1/2 is highest in the case of beryllium 

 chloride and lowest in the case of magnesium chloride, while that of calcium chloride 

 more nearly approaches that of magnesium chloride. The rise in the value of v/m for 

 calcium chloride, where m=l/2, over that of magnesium chloride is almost exactly 

 proportional to the rise in molecular weight. 



§ 102. The values of [dA — v) have been treated in the way fully set forth in 

 Section VIII. for the solutions of the salts of the enneads MR and MRO3. It is tliere- 

 fore sufficient to give here a table of the values of (dA — v) in the case of solutions of 

 wBeCl2, rnMgCl^, and ?nCaCl2 in 1000 grams of water, for which ot<1. 



MR 



BeCl2 

 MgCl^ 

 CaCl, 



1/2. 



1/4. 



1/8. 



1/16. 



1/32. 



1/64. 



1/128. 



1/256. 



1/512. 



1/1024. 



Values of {dA -v). 



1-557 

 1-638 



0-310 



0-098 



0-056 



-0-175 



-0-104 



-0092 



-0-159 



-0-169 



0-614 



0-208 



0-100 



0-026 



0-026 



0-034 



-0-041 



0-043 



0-413 



0-148 



0-074 



-0-137 



0-082 



0-035 



0-027 



-0-020 



-0-145 



-0-007 



0-007 



