TABLE 14. Example of the Non-Adiabatic Computations for Pi, pi, Pi 
Or 
Lindenburg, Germany, April 27, 1909 
116 
21.4 
T, To 
lr.fr (T. TA 
Pa - To 
log W rrr rrr 
1 1 1 0 
n k 
k -1 
294.4 
2.46894 
Ino- ” * floe- P, loe Po).... 
log P ' 
p 
4.99775 
99482 
9.87286 
0.7462 
B c — Bo 
log n 
k - 1 
500 
1000 
1500 
2000 
2500 
3000 
4000 
5000 
384 
500 
500 
500 
500 
500 
1000 
1000 
17.1 
13.5 
10.3 
8.0 
5.7 
2.7 
-3.9 
-10.1 
-4.3 
-3.6 
-3.2 
-2.3 
-2.3 
-3.0 
-6.6 
-6.2 
fl RQWfi 
-0.99429 
U.Oi OUii 
-0.63347 
-0.55630 
-0.50515 
-0.36173 
-0.36173 
-0.47712 
-0.81954 
-0.79239 
9.94515 
0.13696 
0.18811 
0.33153 
0.33153 
0.21614 
0.17475 
0.20190 
0.88136 
1.3707 
1.5421 
2.1455 
2.1455 
1.6449 
1.4954 
1.5919 
0.48442 
0.67623 
0.72738 
0.87080 
0.87080 
0.75541 
0.71402 
0.74117 
290.1 
286.5 
283.3 
281.0 
278.7 
275.7 
269.1 
262.9 
2.46255 
2.45712 
2.45225 
2.44871 
2.44514 
2.44044 
2.42991 
2.41979 
-.00639 
-.00543 
-.00487 
-.00354 
-.00357 
-.00470 
-0.1053 
-.01012 
-7.80550 
-7.73480 
-7.68753 
-7.54900 
-7.55267 
-7.67210 
-8.02243 
-8.00518 
-8.28992 
-8.41103 
-8.41491 
-8.41980 
-8.42347 
-8.42751 
-8.73645 
-8.74635 
-.01950 
-.02576 
-.02600 
-.02629 
-.02651 
-.02676 
-.05451 
-.05576 
4.97825 
4.95249 
4.92649 
4.90020 
4.87369 
4.84693 
4.79242 
4.73666 
95115 
89638 
84428 
79470 
74763 
70296 
62004 
54532 
9.85336 
9.82760 
9.80160 
9.77531 
9.74880 
9.72204 
9.66753 
9.61177 
0.7135 
0.6724 
0.6333 
0.5961 
0.5608 
0.5273 
0.4651 
0.4090 
0.714C 
0.6730 
0.6340 
0.5970 
0.5620 
0.5290 
0.467C 
0.4110 
-.0005 
-.0006 
-.0007 
-.0009 
-.0012 
-.0017 
-.0019 
-.0020 
0.33636| 0.52817 
0.57932 
0.72274 
0.72274 
0.60735 
0 56596 
0.59311 
log yzT\ (log Pi - log Po).... 
-8.14186 
-8.26297 
-8.26685 
-8.27174 
-8.27541 
-8.27945 
-8.58839 
-8.59829 
log pi — log po 
-.01386 
-.01832 
-.01849 
-.01870 
-.01885 
-.01903 
-.03876 
-.03965 
log p 
0.07088 
0.05702 
0.03870 
0.02021 
0.00151 
9.98266 
9.96363 
9.92487 
9.88522 
P 
1.1773 
1.1403 
1.0932 
1.0476 
1.0035 
0.9609 
0.9197 
0.8411 
0.7678 
Pa* = P/Ra T 
1.1773 
1.1423 
1.0900 
1.0383 
0.9853 
0.9346 
0.8883 
0.8028 
0.7227 
P ~ Pa 
log (n - 1) 
.0000 
- .0020 
-9.07423 
+ .0032 
9.56902 
+ .0093 
9.73408 
+ .0182 
0.05899 
+ .0263 
0.05899 
+ .0314 
9.80949 
+ .0383 
9.69496 
+ .0451 
9.77225 
log (» — 1) ( log Pi - log Po) . . 
6.87973 
-7.30382 
-7.42161 
-7.60799 
-7.61166 
-7.48159 
-7.71739 
- 7.77743 
log Pi — logPo 
+ .00076 
-.00201 
-.00264 
-.00406 
-.00409 
-.00303 
-.00522 
-.00599 
log P 
2.45793 
2.45869 
2.45668 
2.45404 
2.44998 
2.44589 
2.44286 
2.43764 
2.43165 
P 
287.03 
287.53 
286.21 
284.47 
281.82 
279.18 
277.24 
273.93 
270.18 
Check log P = log (P P P) 
4.99775 
4.97826 
4.95250 
4.92650 
4.90020 
4.87369 
4.84693 
4.79242 
4.73666 
Equations. (182) log Pi — log P 0 = r ” (log Pi — log P 0 ). 
k — 1 
(183) log pi - log po = (log Pi - log To). 
(184) log Pi -logPo = (n - 1) (log Pi - log P 0 ). 
(173) log P = log P + log p + log P. 
Constants, log = 0.53927. log = 0.39121. loggoPm = 5.12489 
Comparison of p (non-adiabatic) and p a (adiabatic). 
p (non-adiabatic) 
1.1773 
1.1403 
1.0932 
1.0476 
1.0035 
0.9609 
0.9197 
0.8411 
0.7678 
p a (adiabatic) 
1.1773 
1.1423 
1.0900 
1.0383 
0.9853 
0.9346 
0.8883 
0.8028 
0.7227 
* The adiabatic density Pa is computed for R a = constant 287.03, and it is generally smaller than the true density p. All 
discussions depending on p a , Ra, in the atmosphere are incorrect. 
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THERMODYNAMIC METEOROLOGY