96 Mr. J), L, Chapman on the 



The condition for maximum entropy is 



= dcj> = mC v f+£dv; 



w 





mC v dt = —pdV) 

 or dt _ p 



do mC v ' 



By differentiating (3), 

 but from (a) and Riemann's equation 



therefore the condition of minimum velocity is equivalent to 

 the condition of maximum entropy*. 



The following method of arriving at the approximation 



v= r ^ v was suggested by Prof. Schuster, who has 



shown that the method by which I arrived at the same result 

 is inconclusive. 



Equation (4) arranged differently runs 



TJ^jv-VoY gV* _., r , , b 



where H does not contain v. 

 Or putting R = C-C W , 



v )v=p v I 1 + q-J — H, 



^v^-t?o) rc P -c a/ . -i c P 



H— p v 



c 



~ ^c! 



The complete expression ~r- =0 leads to a quadratic ex- 

 pression for v. Hence there are two minima or maxima. 



* In any adiabatic change the entropy cannot decrease, and therefore 

 it tends to become a maximum. 



