of Water and other Liquids. 



407 



Table IV. — Volume of Water at Temperatures from 0° 



to 39°. 



Differentiation of the Smoothed Curve representing Kopp's 

 results. Volume at 0° = 1. 



t°. 



v. 



dv 

 dt' 



t°. 



t°. 







19 



v. 



dv 

 dt' 



t°. 



39 



1-007147 







1-001367 











•000382 



38-5 







•000187 



18-5 



38 



1-006765 







18 



1-001180 











•000365 



37-5 







•000168 



175 



37 



1-006400 







17 



1-001012 











•000355 



36-5 







•000159 



16-5 



36 



1-006045 







16 



1-000853 











•000350 



35-5 







•000150 



15-5 



35 



1-005695 







15 



1-000703 











•000340 



34-5 







•000141 



14-5 



34 



1005355 







14 



1000562 











•000332 



33-5 







•000122 



13-5 



33 



1005023 







13 



1-000440 











•000323 



325 







•000113 



12-5 



32 



1004700 







12 



1-000327 











•000320 



31-5 







•000102 



11-5 



31 



1-004380 







11 



1-000225 











•000300 



30-5 







•000095 



10-5 



30 



1-004080 







10 



1-000130 











•000297 



29-5 







•000080 



9-5 



29 



1-003783 











1-000050 











•000282 



28-5 







•000067 



8-5 



28 



1003501 







8 



0999983 











•000276 



27-5 







•000055 



7-5 



27 



1003225 







7 



0999928 











•000262 



265 







•000033 



6-5 



26 



1-002963 







6 



0-999895 











•000253 



25-5 







•000022 



5-5 



25 



1-002710 







5 



999873 











•000248 



24-5 







+•000001 



4-5 



24 



1002462 







4 



0-999872 











•000235 



235 







- -000010 



35 



23 



1-002227 







3 



0-999882 











•000227 



22-5 







-•000025 



2-5 



22 



1002000 







2 



0-999907 











•000225 



215 







-•000038 



1-5 



21 



1-001775 







1 



0-999945 











•000210 



20-5 







-■000055 



0-5 



20 



1-001565 



•000198 



19-5 







1-000000 







19 



1-001367 















Rosetti's results (Pogg. Ann. Erg.-Bd. v. p. 268) give a 

 differential which suggests a change at about 60° and another 

 at 18° (fig. 7) ; but the determinations at the higher tempe- 

 ratures are not very numerous 5 and those from 3° to — 6° 



