[ i:74 ] 



XXII. On some Effects of Dissociation on the Physical Pro- 

 perties of Gases. By W. M. Hicks, M,A.^ Fellow of St. 

 Johns College, Camhriclge. 



[Continued from vol. iii. p. 418.] 



[Plate III.] 



lY. 



22. "WT^E must now consider the case of a compound gas 

 ▼ T whose molecule is diatomic, and which is formed 

 by the combination of two elementary gases A and B. We 

 will denote the atoms of A and B by the letters A, B, and the 

 molecules of the three gases by AA, BB, AB. The constants 

 required will be eighteen — viz. the three blows required to 

 break up AA, BB, and AB, and the mean effective distances 

 between every pair of AA, BB, AB, A, B, the number of 

 which is fifteen. 



Let Ci, Co, c be the respective blows required to break up 

 AA, BB, AB, and let the mean effective distances be given 

 by the following Table, where the arrangement is obvious: — 





AA 



BB 



AB 



A 



B 



AA 



^11 



-^12 



•?io 



^^13 



'^14 



\^\^ 



S\2 



^^22 



«20 



^23 



^24 



AB 



«10 



^^20 



^^00 



-^30 



''^40 



A 



^^13 



^23 



<^30 



^^33 



^^34 



B 



Su 



^24 



^^^40 



-^34 



^44 



Let also the numbers of A A, BB, AB, A, B be jj, y, z, x' ,y' . 



Then, remembering that the masses are "Im 

 mi, m^, 



dx 



I, z?«2, mi-tvi2, 



— = gain of molecules of A per unit of time 



do 



= number of collisions of A with A with blow < c^ 

 — number of collisions of AA with blow > ci 



X Exp ( 



2mi???3 



6mim2 Q } * J 



