FOUNDATIONS OF THE KINETIC THEORY OF GASES. 1041 



Thus equations (1') and (3') of § 42 become, respectively, 



h' P /5 p p \ PC g' 

 a ~ Jh 6 6vps\ 2 x ^V 8wphs* ' 

 and 



^^/25 \ 3PC 2 a' 5P(V 



* ~ Jh 5 67rs 2 W 2 °^ 3 + ^ 5 / "*" 8 ,rft S 2 " 16 tt/w 2 ' 



Thus we have finally to deal with the new forms of (1") and (3") of § 43, viz. : — 



«=-^0-06-^'0-12, 



Jh? p ph 



E = -^ 5/0 \0-45+' ) ~0-44. 



When similar methods are applied to the diffusion equations, they become hopelessly 

 complicated. 



VOL. XXXV. PART IV. (NO. 22). 7 T 



