522 Mr. J. P. Dalton on the Saturation Constants 



with "fair approximation," and gave / (at low temperatures) 



a value = 3'4, when log7r is expressed in natural logarithms. 



In the following, the constant has been calculated for both 



ordinary and natural logarithms 



6- 



- logio 7r - 



-K)- 



/'• 



/. 



020 



5-9281 



40000 



1-4820 



3-4124 



•25 



4-4663 



30000 



1-4888 



34280 



•30 



3-4965 



23333 



1-4985 



34504 



•35 



2-8049 



1-8571 



1-5103 



3-4776 



•40 



22861 



1-5000 



15241 



3-5094 



•45 



1-8816 



1-2222 



1-5395 



35449 



•50 



1-5561 



10000 



15561 



3-5830 



•55 



1-2875 



•81818 



1-5736 



36234 



•60 



10611 



•66667 



1-5917 



3 6650 



•65 



•86697 



•53846 



1-6101 



3-7073 



•70 



•69797 



•42857 



1-6286 



3-7500 



•75 



•54904 



•33333 



1-6471 



37925 



•80 



•41640 



•25000 



1-6656 



3-8352 



•85 



•29715 



•17647 



1-6839 



38773 



•90 



•18910 



11111 



1-7019 



3-9188 



•95 



•09051 



•05263 



1-7197 



3-9597 



1-00 



•ooooo 



•ooooo 











Fig. 1 shows graphically the deviation of /from a constant. 



(2) The Law of Cailletet and Mathias. 



Onnes * found that for the saturation volumes determined 

 by him the law of the diameter held " very well up to quite 

 low temperatures," and A. Batschinski t obtained by plotting 

 mean density against temperature a line that did not " differ 

 much from a straight line." 



From the table of saturation constants given above, the 

 following figures were derived : — 





1 1 





1 1 



0. 



— + — . 



0. 



— + — . 





Wj u>„ 





w l w 2 



[0-00 



3-0000] 



•60 



2-3713 



0-20 



2-8103 



•65 



2-3191 



•25 



2-7584 



•70 



2-2685 



•30 



2-7040 



•75 



2-2196 



•35 



2-6492 



•80 



2-1724 



•40 



2-5928 



•85 



2-1268 



•45 



2-5363 



•90 



2-0831 



•50 



2-4802 



•95 



2-0407 



•55 



2-4251 



1-00 



2-0000 





* Loc. cit. 



t Loc. cit. 





