ON THE ENERGY OF STORMS— MARGULES 567 



call barometric temperatures as determined by the barohypsometric 

 relations* 



po- / ** 1/ gh V\ 



Poi = Ph<> ' = Ph \ 1 + ^T + 2 \ ^o" / / a PP roximatel y- 



s|- / g h 1 I i h Y\ 



Po2 = Ph e 2 = Ph^ 1 + j^ +2\ rqI J ) approximately. 



In the serial development of these exponentials we have stopped at 

 the terms of second degree in accordance with a preceding remark. 

 With these values our integrals become f 



J 



k SB gh 



J 



, T* gh I T* 



O, R\Q 2 2©; 



k B t B 2 gh 



(T 2 - T t )dm 2 = -. B p h .—_x 



y fT t * ghT 2 * 



X l0 2 " 1+ ^20l 



Now in the actual applications to our atmosphere the quantities 



sh 

 r* — © are always very small relative to — . For the value ^ = 3000 



* The e is the base of the napierian logarithms, 

 j- T = temperature of air at any time or place. 



7"* = true average temperature of a mass of air as determined by the 

 mass-relation, 



P° Tdp 

 T*= Jph 



Po ~ Ph 



= Approximate average temperature of mass of air as determined by 

 the barohvpsometric relation 



Pa = Ph e° h / R ° 

 whence 



log — = Modulus X g 

 Ph RQ 



gh 1 

 © = Mod. S - - 



R , Po 

 log — 



Ph 



