( 402 ) 



Then tlie space of the sum of the volumes R = i n n .v~ d,v of all 

 the splierical shells S tog-ether, which is enclosed in the distance 

 spheres, would be to this total space R, as the whole space 2 Gb 

 occupied by the distance spheres of all the molecules of the gas to 

 the whole volume of the vessel F, which was to be expected a priori. 



In every spherical shell -S, however, a molecule is found, so that 

 the centre of another molecule cannot come closer than at a distance 

 a from the centre of the spherical shell. Therefore we have to 

 subtract from the value (10). 



4 jT^ n~ J- (/.r / a^ „ 4o^ 



f 4 jT'' n- J- d.r ( i'' „ 4(7'* \ 



I CO Jr = 1;; (^— — ^r e~ + — - j = 4 ;!?( T~ (hr y, 



in whicli 



Instead of the last term l)ut one in the pro])i)i'linn (2) we have 

 therefore to put 



Anv :v^ d.i' ( 1 



2 Gb 



('--r + '')- 



As we ought to substitute V (\ --j for the last term, it 



comes to the sauK! thing as if tl'.e last term were left as it is, 

 and as if 



A n 1^ ;(" (/.'■ (1 -j- /') 



were substituted for the last term but one, at least if terms of still 

 higher order are neglected. 



We obtain therefore for dn the correction term 



dy = y dn 

 and for Z the correction term 



2 It 



I = j^Ky dr = ^^^-y- p-^ da- (.r3_i2 o"^ ,. + IG o^- = 



_ 2357 7iS,i3 ö9_2357 G^ b^ ^ 

 ~ '22CS0 ■ K'' ~ü7lÖ T^ ' 



