ON THE ENERGY OF STORMS — -MARGULES 



563 



lower entropy is separted from it by the level sufaee i; at this level 

 the temperature changes suddenly from T'& to T' i2 . Each of the 

 two masses is individtially in neutral equilibrium. At the upper 

 surface of 2' the pressure is p h , consequently the temperature is 

 T h2 . Since >the entropies S t and 5 2 remain unchanged therefore 

 the values of the pressures at i and at the base (p' 2 and p' ) are to 

 be computed from the weight of the mass and thus we completely 

 know the final stage, as follows: 



We thus obtain all the quantities that enter into the expression 

 for the total energy of the final stage 



(P + I). = C. 



I 



p • 



B {T'oP'o-T'xPl + T'aPl- 



1 + K 



— T h2 p h I + Constant 



except only the arbitrary constant which will itself disappear when 

 the difference is taken. 



We assume that the available kinetic energy, viz., 



1 - d (p + I) = (P + I) a - (P + I) e , 



belongs specifically to the mass M below the piston, and that this 

 therefore may be written J MV 2 . 



In frictionless motion if the final stage be attained simultaneously 

 by all the masses, then \V Z is their average kinetic energy. Since 



M = B I — — — - ) therefore V is independent of the area of the 



base. 



Finally we compute the heights of the strata 1' and 2' from the 

 temperatures by the formulae 



< = 7 (n-n,) 



s 



K -yC^-rj 



