Substances in the Solid State and in Aqueous Solution. 411 



Table F contains the results of our calculations. We have 



chosen the same numbers for A that Marignac employed in 



his experiments upon the solution of sugar: and we have 



placed in the table the direct results of his observations, for 



the purpose of comparison. We see that the results of the 



two investigators, Gerlach and Marignac, very nearly agree. 



Gerlach'' s figures are a little high • but this little difference 



may be attributed to the difference of temperatures t° 9 which 



were 17°-5 C. for Gerlach* and 20° C. for Marignac. We have 



still to multiply all the densities observed by Marignac by 



the number 1*001731, because he has expressed them with 



20° 

 water at 4° C. taken as unity; his densities d— — have then 



20° 4 



been converted into d ^75, to render them, as nearly as pos- 

 sible, comparable with Gerlach's densities, 17 0, 51/17 0, 5. 

 The two interpolation-formulas are not applicable to the 



f 

 densities djp See Table G. In this table we have applied 



our formula to two of Marignac's series of densities, the 

 densities 20°/ 4° and the densities 20°/ 20°. 



Table G. 



Marignac's experiments on Solutions of Sugar. Application 



of the Interpolation -formulas to d 20°/ 4° and to d 20°/ 20°. 



A. 



d20°l 4° 

 (observed). 



Density 



calculated 



by the 



formula. 



Difference 



between 



observed and 



calculated 



density. 



25 



1-19242 





50 



1-11506 



1-11071 



0-00435 



100 



106333 



1-05986 



0-00347 



200 



103265 



1-03120 



000145 



400 



1-01594 







A. 



,20° 



converted to 

 d 20°/ 20°. 



Density 

 calculated 



by the 

 formula. 



Difference 



between 



observed and 



calculated 



density. 



25 



1-19448 







50 



111099 



1-11674 



0-00025 



100 



1-06517 



1-06488 



0-00029 



200 



103444 



1-03435 



000008 



400 



101770 







2E2 



