( B91 ) 



while ut I' = 0,002 the product is diiuiuishcd to \ /)'■>('> and at 

 tj^OjOl it descends still niofo down to 1,021. From the formci' 

 series of values we might still be in doubt whether this mixture 

 also possibly follows the law of Boyle, but the value at r==0,01, 

 which has perceptibly decreased, decides, and shows convincibly, 

 that this mixture still deviates in the direction of carbonic acid. 

 My conclusion is therefore that for the mixture for which ^i ^= 1 

 the value of .r cannot descend below 0,8. 



In such a mixture the product pv =^ {1 -{- a t) , or (t^l8°) 

 py= 1,01)606. For this value we found above 1,074. This would 

 lead to the conclusion that if Mr. Yjjrschaffelt equates the volume 

 to 0,03, it is in reality no more than 0,02983. As a similar diffe- 

 rence is also found for the following volumes, it would point to 

 the fact that he has taken the unity of volume in this mixture 

 ± V2 pCt. too large, an error which surpasses the amount of the 

 above discussed corrections. If Ave would not acknowledge this error, 

 wc should have to take as the mixture for which pv:=l-\-at one 

 for which x is smallei', which is contradicted by the experiments 

 on compression, as has been shown before. 



Put 35,80 as the value of the pressure, which a gas would exer- 

 cise, if it should follow the law of Boyle. For every series of 

 observations if the volume .(• = 0,02983, we find in Table XII, 

 p. 334 indicated the pressure which is to be subtracted from 35,8, 

 to find the influence of the deviations. 



If we put 



(35,8 — ;j) = , 



the value of «.r— fé(l+«0 may be calculated for every mixture from 

 this approximated equation. If we calculate öj— ^^(l + ai) (for 

 carbonic acid) we find 0,00614 and —0,000454 for «3— i-^Cl +«<) 

 (hydrogen). By means of these values we may determine the 

 constants for ij ^ a -\- b.v + «"^ if we make also use of the circum- 

 stance that the value of // = 1 is to be found for .(- = 0,8. Then 

 we find: 



y — 0,999546 + 0,001189 (1— .r) + 0,005405 {l—sf , 



an equation which closely resembles that one, which Mr. Versciiaf- 

 FELT thought, that he ought not to make use of, and which yet 

 has been deduced from his own observations only. In the following 

 table we find the value of y for values of ;t=:ü,l, 0,2 etc. 



