Density of Water with the Temperature. 



131 



density of water with an increase of pressure equal to one 

 atm. The numbers in this column are calculated by formula 

 No. 7, and only represent a first rough approximation on 

 this subject, and none at all for temperatures above 100°. 

 Nevertheless I considered it useful to cite these figures in 

 order to point to the necessity, when making accurate deter- 

 minations of the variation of the density of water, of paying 

 attention to the pressures at which these determinations are 



ds 

 made. If /n t be given, then -=- will be found by multiplying 



(c) The values of <j>(t) or \ — s 1000, because these num- 

 bers, as explained above, served chiefly in deciding the pro- 

 posed formula for expressing the expansion of water. 



Table III. 

 The Variation of the Specific Gravity of Water S^ from —10° 



to + 200°, taking 



s*=i 



at 4°, according to the formula 



B =1- ft~^ 



' ioooft(«)' 





where 0(0 = 1*9 (94*1 + (703*5 — t) at a pressure of 1 atm. 









Pressure 



Temperature 









Calculated 



Possible error of 



Differential 



Differential 



Value 





t°c. 



specific 



existing deter- 



Coefficient 



Coefficient 



of 



Volume, 



gravity, 



minations in 



dsjdt per 



dsjdp per 



<p(t). 



v r 





S . 



millionths. 



degree Celsius 



atmosphere in 







t 





in millionths. 



millionths. 







-10 



0-998281 



+ 49 



+ 264 



+54 



114-01 



1001722 



- 5 



999325 



29 



4- 157 



+52 



11994 



1-000676 







0-999873 



12 



+ 65 



+50 



125-78 



1-000127 



+ 5 



0-999992 



3 



- 15 



+48 



131-52 



1-000008 



10 



0-999738 



15 



- 85 



+47 



137-17 



1-000262 



15 



0-999152 



26 



- 148 



+46 



14272 



1-000849 



20 



0-998272 



35 



- 203 



+45 



148-18 



1-001731 



25 



0-99712 8 



43 



- 254 



+44 



15354 



1*002880 



30 



0-995743 



49 



- 299 



+43 



158-81 



1-004276 



40 



0-992334 



53 



- 380 



+41 



16906 



1-007725 



50 



0-988174 



65 



- 450 



+40 



178-93 



1-011967 



60 



0-983356 



72 



- 512 



+39 



188-42 



1-016926 



70 



0-977948 



80 



- 569 



+39 



197-53 



1-022549 



80 



0-971996 



92 



- 621 



+40 



206-26 



102881] 



90 



0-965537 



109 



- 670 



+41 



214-61 



1 035692 



100 



0-958595 



133 



- 718 



+ 42 



222-58 



L 043194 



120 



0-943314 



600 



- 810 



+ 43 



287-38 



t-060098 



140 



0-926 211 



650 



- 901 



+48 



260-66 



1-079667 



160 



0-907263 



700 



- 995 



+i)i> 



262-42 



1*102216 



180 



0-886393 



750 



-1093 



+ 64 



272*66 i-i-Mbi 



200 



0-863473 



800 



-1200 



+ 73 



281*88 1-158114 



K2 



