ADIABATIC CHANGES OF MOIST AIR NEUHOFF 455 



From this equation by integration we obtain 



S + ^ c i.„ 7 2 Af . f T *dT ,_/> 2 ' i M ( x 2 r 2 x\r x 



log -' ~ — c 



C 2 dT . p' M I 



A/? T, AR J T p{ AR\ T 2 7\ 



By substitution of 



* = £ -^ 

 P' 



and by the abbreviated notation* 



M ee m r c + £ c 



— — = a and -? = m 



we finally obtain 



To 



a 2 , a t . T l M r dT 



log p 2 - — = log A -- / - m log - 1 - __ c y 



Pi Pi T 2 AR J l 



r, 



which is the rigorous equation of the pseudo-adiabat where m = / (£) 

 is a constant and corresponds to the initial quantity of moisture. 

 The last term in this equation 



M % dT 



J 



is a corrective term that is not integrable since y is also variable 

 with the temperature. If now y is assumed constant for any 

 small range of temperature, which is true in proportion as the 

 limiting temperatures 7\ and T 2 are near together then the integra- 

 tion would give 

 t. 



AR C I •" T 



*a and m are essentially the same as in the previous pages. — C. A. 



