320 Intelligence and Miscellaneous Articles. 



equation (5) is changed into 



mc\ 



£- = % (7) 



p 2 mci 



2 * 2 



From equations (6) and (7) we have 

 mc\ 



T < 8 > 



mci 1 2 



In mixing- at the same temperature (e. g. T 2 ) different gases which 

 do not act on each other, this temperature remains unchanged, 

 independently of the ratio of the quantities of the mixed gases and 

 their volumes. Hence at the same temperature the vis viva of the 

 molecular motion must be equal even in different gases ; that is, 



W2£l = MC| > ^ 



From equations (8) and (9) we have 



mc\ 



JL =5 1 (io) 



MCI T 2 



Replacing in equation (5) the ratio of the vis viva of the molecules 

 according to equation (10) by the ratio of the absolute temperatures, 

 we have 



£ = wV L (ii) 



. . P NvT 2 V ; 



Putting finally in equation (11) 



/>=P, T X =T 2 , v=V, 

 we have also 



rc = N; 



that is, for the same pressure and temperature equal volumes of differ- 

 ent gases contain the same number of molecules. — Berichte der Deutschen 

 chemischen Gesellschaft , December 24, 1869. 





