45° SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 5 1 



In this equation £ again indicates the quantity of moisture in the 

 air which is now composed of vapor (x), ice (2) and snow (s) so that 

 f has the same meaning as (x t ) in the first stage, since we assume 

 that all the water has remained suspended in the air after conden- 

 sation. If this is not the case then c has a smaller value in propor- 

 tion to the quantity of precipitation that has fallen away from the 

 air. 



The integration of this equation gives us 



]oa P' = (S + i O ! T _M (x(r + r e ) _ x (r, + r e ) 

 g p' AR T AR \ T T, 







If we adopt the notation 



c n + CC c lt / , c 



p 



AR .1 R \ 



and consider that 



there results 



I + _e * \ = 3 441 ( , + 2.105 £) = m n 



X = e , 



p 



p' M r + r e ee _ M r + r e e T 



og £ " ar ~T~" p' Zr' 7^" ^" " /u ' og r 



If we substitute 



M r + r. 

 AR T 



we then obtain the adiabatic equation for the snow stage in the 

 same form as in previous cases, viz: 



p' T a a 



log ±-r = m„ log - + — — — r- 

 which also may be written 



log p' — — — m ly log 7 = constant (11) 



P' 



The humidity factor m lv = / (£) is determined by the quantity 

 of moisture or the mixing ratio £ and is computed as given in 

 table 4, column 6, for values of £ from o up to 30 grams. Thus, 



