662 Mr. W. H. Gibson on Influence of Volume Change 



Again, the summation o£ the given series might be effected 

 by a method similar to the above but without the use of 

 integration. 



The given series can be written 



S = ^2(-lW°) 2 — -£- n , (16) 



Letting ?i + /c + l =^, we have 



wherein 



Therefore 



t=l t 



S=l!(-l)fU^-ls(-l)f^.^ . (18) 



=-^( i -'y i °^ i -^5Mi ( - i)A ^ • ' (l9) 



I s ) 



= ( 4^iog(i-^)-^-^ s(-i) K ^4 ( 2 °) 



Which is the same result as obtained in (14). 



University of Pennsylvania, 

 Philadelphia, U.S.A. 



LXXV. The Influence of Volume Change on the Fluidity of 

 Mixtures of Miscible liquids. By William Howieson 

 Gibson *. 



SEVERAL formulae have been used for the calculation of 

 the fluidities or viscosities of mixtures of pairs of 

 chemically indifferent, non-associated, completely miscible 

 liquids from the fluidities or viscosities of the constituents, 



* Communicated by Sir William Ramsay, K.C.B., F.R.S. 



