( 512. ) 



ni 



ost i>r(>l)al)le and tlie assuiiied values ot' r/ and A„, Z- /> the difference 

 Itetween the observed ]»ressnre and that (•aU'idat(Ml \\ith the aid of 

 Ihe li\'e assnnied constants, the normal e(|nations become: 

 ( ()p ) " l dp dn ) .dn 



\ ()a ] ■ { Ou db,, \ ' da 



[ dn d/> ] ( dn ) '^ dn 



[da db,,\ ^ ■' \dh,,\ ' dh,, 



\\\ solving- them for seven obser\ations bet\veen 100 and 400 ats. 

 (whei-e the intbience of the arbitrary vabies y, ,i and n is not vet 

 verv -reat), we find : ,i = 2410 : !>,, = Jl)0(5 '). 



Ill the third colnnui of table I the dilference between the observed 

 \alnes of /> and those calculated with these new Nabies of (( and A,, 

 liave been L>iven in per cents of j)-. the agreenicnt is satisfactory np 

 to lOtM) ats. In order to tind values of a, [i and y, which give a 

 better agreement for higher i>ressnres, 1 have calculated the b for 

 volumes 3209, 20(iO, 1()4.*) and 14()H (with corres[)oiiding pressures 

 of 400, 1000, 2000 and oOOO ats.-) from the equation of state with 

 Ihe aid of the Just found <i. Let us now write the correction formnla 

 of the /' ill this form : 



11 1 1 



b . ,- + - . a . b, - ^ . /? . A,/ + -- . 7 b,; = 1 

 b,i V I- r 



Then with the aid of those four sets of values of /y and r we niav 

 calcnlate from four linear (Mpiations \vitli four unknown quantities 

 a A,,, rf,,:? and y. which with >i = UH) for volumes 3209,2060,1643 

 and i4()() vield \alues for p, \n liich agree perfectlv with the observed 

 values. We tind h,, = 1(S(53. ^( — 0.3616, ,-?= 0,1330, y = 0,05176 ; 

 with the aid of these \alues of rr, /? and y we find now the values 

 of ti and A,/ NN Inch gix'e the best agreement with the ol)servation, by 

 apjd} ing the two noi-mal e(piations to ten observations between 100 

 and 1000 ats. The \alues found in this way and the de\iations of^> 

 calculated l>y means of them are gixeii in the foni-th colnmn of 

 table 1; now the agreement is satisfactory up to 2000 ats. Only by 

 changing j? and y \ve can obtain a better agreement for the highest 

 pressures. New values of jj' and y are no\\' found from the correction 

 formnla for the A w itii the aid of the just found \alues of '/, b,, and 

 a, and these new \alnes make the agreement at 2000 and 3000 ats. 

 satisfactor\-. 



^) The values given for a. b and /" iimsl be multiplied with 10 '. 



~) Tlie values of/*, given l)y Amahat tur dirrecenl values of /', liave I'een jjovrowed 

 U|) lo tOOO als. IVoni his '•inetliode ^U},^ I'egards",. those IVoni IdOO lo 3()00 ats. 

 trom his ■"luelhode des eonlracts éleeUi(jues". 



