M. R. Bunsen on the Law of Absorption of Gases. 121 



If y and y' represent the same values for the gas 2 which x 

 and of did for the gas 1, the pressure of the unabsorbed gas 2 is 



y 



v' + /3h' 

 As P' is the pressure of the mixture, we get 



p/- _jl , y 



v'+*h~ r v'+ph m 



If P is the pressure under which the mixture originally occu- 

 pied the volume V, we have 



(also obtained when ^ = 0). We have then 



i=,, * +-y 



{v' + «h)P' + (v' + l3h)Y' 



a? y 



If we place 



we obtain 



1- VP + VP' 



VP=W 



(V' + «A)P'=A 

 (V' + /3A)P'=B, 



#_W_B A 

 y ~ A-W ' W 



or the volumes of the first and second gases in the unit volume 

 of the mixture are 



x _ W-B A 



x + y~ A-B ' W ' ( 14 ) 



y _ A-W jB_ 



x + y~A — B'W ( 15 ) 



For the case in which n gases are to be determined, n equa- 

 tions are required, easily obtained by observing for particular 

 temperatures / t v t q ... t n - u the corresponding gaseous volumes 

 V V„ V 2 ... V„_„ at various pressures P, P„ P 2 ... p^_- r for 

 different volumes of liquid h, h u h a ... h n _ ,. Thus for a mixture 

 of three gases whose volume is oc + y + z, the following equations 

 are obtained : — 



i — -fL a. y z 



VP + VP + VF 



i= g , y , * 



(V, +« I A,)P, T (V, +/9 1 A 1 )P I + (V.+yjAJP"/ 



2 = J? y z 



(V 2 + « 2 /* 2 )P 2 + (V 2 + /3 2 ,4 2 )P 2 + (V 2+72 /4 2 )PV 



