Changes in DieleGtric Constants and ^?^ Volumes. 71 



((K,"+2r~^r"-[((K;'+2r-T»"+(K;"+2r-^J_ 



Here K/^ is the dielectric constant of the saturated solution 

 and v^" is the volume of the saturated solution produced from 

 1*=° of the solute, K/^ is the dielectric constant of the solvent 

 and 'y/' the volume of the solvent needed to make a saturated 

 solution with l^'^ of the solute, 'KJ" is the dielectric constant 

 of the solute, Q is the heat of solution in small calories of 1^^ 

 of solute in the necessary quantity of solvent to make a satu- 

 rated solution at t\ the temperature of solution. 



These quantities, together with those needed to get them, are 

 given in the following table, in which the additional symbols 

 are used of J" for pure solute, of /^ for pure solvent, of /' for 

 solution : — 



d^" =. density of solute 



d^' = " solvent 



d^' — " solution 



n = per cent, grammolecules of solute 



N= 100 ^n 



wj' — weight of solvent = (NM/nm)d^"' 



v^" = volume of solvent :=:toJ' / dj' 



v^" = " fio\ution = Uc J' + dj")d'' 



/;" = i-9/(K;" + 2r 

 /;' = i-9/(K;'+2r 



//'=l-9/(K/' + 2r 

 e = the numerator of 6. 



An absence of a ± quantity implies a corresponding absence 

 of uncertainty. 



