Full text: A meteorological treatise on the circulation and radiation in the atmospheres of the earth and of the sun

372 
EXTENSION OF THERMODYNAMIC COMPUTATIONS 
Illustrations of the Use of Erroneous Densities 
In order to illustrate the amount of divergence between 
p a and p, we have for this balloon ascension— 
TABLE 83 
The Difference Between p (Non-adiabatic) and p a (Adiabatic) 
Density 
z 
P 
Pa 
50000 
0.0000 
0.0000 
45000 
0.0035 
0.0033 
40000 
0.0180 
0.0057 
35000 
0.0324 
0.0099 
30000 
0.0551 
0.0203 
25000 
0.0929 
0.0426 
20000 
0.1586 
0.0935 
15000 
0.2754 
0.2073 
10000 
0.4760 
0.4190 
5000 
0.7730 
0.7151 
surface 
1.1485 
1.1485 
Since p is greater than p a it follows that, 
, v Pi- Po. „ , Pi- Po 
(782) — is smaller than 
P10 
PaO 
and this is compensated in the gravity equation by the terms 
for the circulation and radiation. It has been tested by numerous 
Pi — Po 
computations that g (zi — z 0 ) = — Cp a (Ta — T 0 ) — — ' 
PaO 
without important residuals from the surface to the vanish 
ing plane, and that — Cpw (T a — T 0 ) ^ holds true 
throughout the atmosphere. No system of meteorology 
k 
founded on R a = ^P a = constant is applicable in prac 
tical studies of atmospheric conditions. 
There is another important matter in which erroneous den 
sities have been introduced into studies of radiation phenomena.
	        
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