﻿604 l3r. A. Ferguson on the Boiling-Points and 



we obtain, after giving to the various constants their numerical 

 values. 



a 68-80 i/M /_ >> 



Vc= ttoq \^-y 



11 iwu 



Similarly, using Ramage's equation (ii.), we find that 



0,= ?™V(i-2-;)]*- • • (-•) 



As Young's formula is a difference formula, a different 

 method has to be followed in effecting the elimination. 

 Assuming n to be a continuous variable and differentiating 

 (ix.) with respect to n, we have 



7 dd „d6 c n „ ^ / •• \ 



^="^ + ^ (xu ° 



Eliminating -j- between (xii.) and (iv.), writing -— as 



A c in accordance with Young's notation, and substituting 

 the numerical values of the constants in the resulting equation, 

 we obtain 



_1 f 266-7 -120^1 > .-:.. 



Ac is the difference between the critical temperature of any 

 given paraffin and that of its homologue next higher in the 

 series ; 6 C% 6, and n refer to the given paraffin. So that, 

 knowing the boiling-point and critical temperature of any 

 given paraffin, the critical temperature of its next higher 

 homologue can be calculated from (xiii.). In fact, the 

 method of use of (xiii.) for calculating critical temperatures is 

 strictly analogous to that of (iii.) for calculating boiling- 

 points. 



If we take equation (v.) as our boiling-point formula, 

 then, taking logarithms of (ix.), and eliminating log 6 

 between this and (v.), we find that 



log & = log k + /i'(log M) s — g log n, . . (xiv.) 



a relation which is equivalent to 



AM *(logM)-' 



ft " n* (XV>) 



Substituting the numerical values of the constants in (xiv.), 



