80 
THERMODYNAMIC METEOROLOGY 
Example 7. Pressure of Vapor in Contact with Water and Ice 
P12 = 4.57 vapor-water. 
Vi = 205000. 
Pis = 760 vapor-ice. v 2 = 1.00 
P 2 3 = . water-ice. v 3 = 1.09 
T = 0.0074° C., the fundamental temperature. 
(295) Vapor on water. 
d P i2 
~dT 
r 12 41851000 760 
T (»! - Vi) 1 1013235' 
606.5 3.1391 X 10 4 
273 ’ 204999 
0.3402 mm. 
(295) 
Vapor on ice. 
dPu 
dT 
go r n 
A T (vi - v 3 ) 
(606.5 + 80) 3.1391 X 10 4 
273 ’ 204999 
0.3851 mm. 
(296) 
Water on ice. 
d P23 _ go r 2 3 
dT AT (v 2 — v 3 ) 
80.066 3.1391 X 10 4 
273 ’ (-0.09) 
102294. mm. 
Compare Planck’s “Thermodynamik.” 
Application of the Thermodynamic Formulas to the N on-Adiabatic 
Atmosphere 
The foregoing formulas would apply to an adiabatic atmos 
phere, using the constants of Table 3, wherein Cp, Cv, R are 
constants, but they do not apply to the existing non-adiabatic 
atmosphere, because it is not an ideal gas, rather a mixture of 
gases which are undergoing rapid changes of condition through 
variations in the heat contents by insolation and radiation. 
They can, however, be adapted to the earth’s atmosphere by 
suitable modifications, which depend upon the formulas de 
veloped under static meteorology. The following summary is 
sufficient for working purposes.