ON THE ENERGY OF STORMS MARGULES 565 



§(25) Second analysis: approximate method for the case when 

 the masses i and 2 are each initially in stable equilibrium and the 

 entropy of the highest layer of 1 is smaller than that of the lowest 

 layer of 2. 



Since it is again assumed that every particle of the mass behaves 

 adiabatically, therefore the layers in 1 retain their relative positions 

 when they become i'; similarly for the layers of 2 when they become 

 2'. We will designate the areas of the floors of the chambers by 

 B x and B 2 so that B x + B 2 = B. 



If p\ is the pressure in the final stage of any layer of i' which 

 had the pressure ^when it was in the initial stage, then we have the 

 relation 



P\ = Ph+Jf (Pi ~ Ph) + £ 2 (P02 ~ Ph) = Px + -£ (P02 ~ Pi) 



Similarly when p\ and p 2 refer to another equal mass in the 

 chambers 2 r and 2 in fig. 1 we have 



P 2 = Ph + B 2 (P2 ~ Ph) = P2 --g(P* ~ Ph)- 



Hence the temperatures T\ and T' 2 of these masses in the final 

 stage are to be computed from their initial temperatures T t and 

 T 3 by the following equations: 



= 7\ ( 1 + k-j^ . ) approximately. 



> + 2 \pJ 2 \ B- p 2 



= T 2 i 1 — k— . — ) approximately. 



The approximate formulae hold good for every p t and p 2 when 

 Poi ~ Ph i s sma ll relative to p h . 



In the computation of the integrals that occur in the expression 

 for the available kinetic energy we take layers of 1 and 2 as the 



