Boiling-point as related to Chemical Composition. 179 



Sum of errors, +'08 ; probable error of one comparison, '22. 

 Renesse (Watts, viii. i. p. 379) gives y 8 = 16°-17°. By the 

 above equation it is 17°*55. 



No members of this series are known below # = 20. Tho 

 above four equations have been deduced in each case from all 

 determinations of x. 



Summary of Results. 



12. The following table comprises all values of the factors 

 of condition /3, of the number of degrees 0. corresponding to 



CH 2 ft. e. -J, of the melting-points y^ of the infinite defines, 



and of the quotients of y x by certain integral divisors. 



Series. 





JSL 



1 

 Y 



yoc- 



Divisor. 



Quotient. 



C x H 2 a:-404 



Normal paraffins I 

 Ketones j 



fi 



Ketates -J -r, 



u 



Even. 473-28 



92-707 

 134-18 

 140-56 

 135-51 

 141-40 

 14121 

 15207 

 159-00 

 167-56 



14 

 20 

 21 

 20 

 21 

 21 

 23 

 24 

 25 



6-6219 

 6-7090 

 6-6933 

 6-7755 

 6-7330 

 67243 

 6-6117 

 6-6250 

 6-7024 



Odd. 



Even. 



Odd. 



Even. 



Even. 



Odd. 



Odd. 



Even. 



8-012 

 7-518 

 9-996 

 8-75 

 7'933 

 8-9247 

 10-08 

 9-8 



16-747 

 19-236 

 13-557 

 16-160 

 17-800 

 17-039 

 15-774 

 17-098 



The above numbers lead to some interesting conclusions, 

 among which the following seem of greatest importance: — 



(a) The general (mean = 8*8767) value of 6 tends to be about 



one half the general (mean =16*676) value of t, or -. From 



1 V 



these means the first values of B and - have been excluded, 



7 

 on account of the evidently peculiar character of the series to 

 which they belong. 



(b) The series of odd normal paraffins and odd ketones end 

 probably in the same olefine. The series of even normal 

 paraffins, even ketones, and even ketates A end probably in 

 the same olefine. 



Thus, on the whole, there have been traced the melting- 

 points of six infinite olefines. 



(c) The melting-points of these infinite olefines are all inte- 

 gral multiples of a fundamental constant, which may be 

 termed the "modulus of melting-point" in the fatty series. 

 The direct mean of the nine determinations of this modulus is 

 6*6885, the geometric 6*6883. The probable error of a single 

 determination of the latter is '038349; of the result of nine 

 determinations, "012783. Thus the modulus is established 



N2 



