Mr. J. J. Waterston on Liquid Expansion. 



351 



points for sulphurous acid were computed (Ann. de Chim, vol. lvi. 

 p. 35):- 





Tempera- 

 ture. 



Volume. 





Tempera- 

 ture. 



Volume. 



No. 1 



o 







10000 



No. 8 



82-5 



1-2058 



2 



12-6 



10230 



9 



91-0 



1-2393 



3 



26-4 



1-0509 



10 



1000 



1-2796 



4 



35 



1-0698 



11 



108-5 



1-3238 



5 



49-5 



1-1048 



12 



115-5 



1-3664 



6 



62-5 



1-1403 



13 



1220 



1-4133 



7 



72-5 



11710 



14 



126-8 



1-4538 



The computed differentials are in the following Table 

 Sulphurous Acid, 



Couples. 



t. 



dt . 



dv 



vdt 

 ~dv' 



1 & 4 



17-5 



498 



518 



2 „ 5 



310 



452 



481 



3 „ 6 



44-5 



402 



442 



4 „ 7 



53-7 



371 



416 



5 „ 8 



66-0 



327 



377 



6 „ 9 



76-7 



288 



342 



7 „ 10 



86-2 



254 



312 



8 „ 12 



99-0 



205 



264 



9 „ 14 



108-9 



167 



225 



By laying a straight edge along the line b b, it will be found 

 that all the points except the lowest and two highest are very 

 exactly in a straight line, which, produced downwards, crosses 

 the zero vertical at 564 on the scale, and which, produced upwards 

 (/3 /3), intersects the axis of temperature in 157*5, which is y s , the 

 upper limiting temperature of sulphurous acid. Now 



157*5 s ' 



and the integral of the differential equation gives 



which is reduced to common logarithms by dividing P s by 2*3026. 

 A straight edge laid along dd shows that the points range tole- 

 rably in a line h h that passes through 663 on scale of zero ver- 

 tical and 187° of the axis, which is y m> the upper limiting tempe- 



fifiO 



rature of muriatic ether, and =-ss? = 3*545 = P TO . 



? 187 



The faint dotted lines « a and e e are the computed loci of 



