TABLE 85 
Extension of the Thermodynamic Data 
From 40,000 Meters to 90,000 Meters. Balloon Ascension, Uccle, November 9, 1911 
z 
T 
P 
P 
Cp 
Ag(zi-zo) 
Wi-Wo 
Ui-Uo 
Kio 
log c 
a 
Height, 
Temper 
ature 
Specific 
Gravity 
External 
Inner 
Radiation 
Energy 
Coeffic. 
Exponent 
in 
Meters 
Pressure 
Density 
Heat 
Ratio 
Difference 
Check 
Work of 
Expansion 
Kinetic 
Energy 
in the 
Law 
in the 
Law 
90000 
0.0 
1.8459 XlO“ 18 
8.5774 XlO“ 17 
.07461 
+0.7 
1.0 
-9527.0 
-8.171 XlO- 13 
-12.550 
0.500 
89 
4.0 
1.8323 XlO“ 13 
3.0663X10- 13 
0.5179 
+1.8 
4.8 
-9527.8 
-3.507X10-° 
-10.090 
1.200 
88 
8.0 
5.7840 X10 -11 
1.8360 XlO” 11 
1.3653 
+2.3 
11.0 
-9528.0 
-1.925 XlO“ 7 
- 9.450 
1.820 
87 
12.0 
1.6773 XI0“° 
2.0088 XlO- 10 
2.4078 
+2.2 
18.9 
-9528.3 
-2.342X10“« 
- 9.902 
2.160 
86 
16.0 
1.8304 XlO -8 
1.0991X10-° 
S.6018 
+1.9 
27.9 
-9528.4 
-1.430 XlO“ 5 
- 8.252 
2.319 
85000 
20.0 
1.1691X10“ 7 
4.1087X10-° 
4.9237 
+2.1 
37.7 
-9527.7 
-5.935 XlO“ 5 
- 8.512 
2.436 
84 
24.0 
5.3219 XlO“ 7 
1.2072 XlO“ 8 
6.3567 
+2.0 
48.2 
-9526.9 
-1.924 XlO“ 4 
- 8.698 
2.522 
83 
28.0 
1.9177 XlO" 6 
3.0032X10-° 
7.8906 
+1.6 
59.3 
-9526.1 
-5.239 XlO“ 4 
- 8.881 
2.605 
82 
32.0 
5.8231X10-« 
6.6162X10-° 
9.5172 
+1.7 
71.0 
-9524.6 
-1.256X10-3 
- 7.020 
2.668 
81 
36.0 
1.5516 XlO- 5 
1.3282 XlO“ 7 
11.228 
+1.4 
83.2 
-9523.2 
-2.726X10-3 
- 7.143 
2.724 
80000 
40.0 
3.7297 XlO- 5 
2.4782 XlO- 7 
13.020 
+1.4 
97.7 
-9521.3 
-5.424X10-3 
- 7.251 
2.773 
79 
43.0 
8.3252 XlO“ 5 
4.3864 XlO“ 7 
15.273 
+1.5 
112.0 
-9516.0 
-1.046X10-2 
- 7.365 
2.825 
78 
46.0 
1.7606 XlO“ 4 
7.4717 XlO- 7 
17.726 
+1.5 
131.8 
-9514.3 
-1.708X10-2 
- 7.442 
2.860 
77 
49.0 
3.5522X10-* 
1.2308X10-« 
20.381 
+1.7 
151.0 
-9509.8 
-3.124X10-2 
- 7.543 
2.906 
76 
52.0 
6.8738X10-1 
1.9682X10-« 
23.241 
+1.8 
171.6 
-9504.8 
-5.224X10-2 
- 7.622 
2.942 
75000 
55.0 
1.2823 XlO“ 3 
3.0664X10-« 
26.310 
+1.7 
193.7 
-9499.4 
-8.568X10-2 
- 7.710 
2.982 
74 
58.0 
2.3148 XlO -3 
4.6672X10'« 
29.591 
+1.9 
217.0 
-9493.2 
- .13285 
- 7.776 
3.012 
73 
61.0 
4.0561 XlO- 3 
6.9643X10-« 
33.085 
+1.9 
242.1 
-9486.6 
- .20874 
- 7.851 
3.046 
72 
64.0 
6.9198X10- 3 
1.0169X10- 6 
36.796 
+1.9 
268.8 
-9479.2 
- .31699 
- 7.915 
3.075 
71 
67.0 
1.1521X10- 2 
1.4611X10-« 
40.725 
+1.7 
297.2 
-9471.6 
- .47209 
- 7.977 
3.103 
70000 
70.0 
.018766 
2.0671X10-5 
44.879 
+1.9 
326.6 
-9462.9 
- .69193 
- 6.036 
3.130 
69 
73.0 
.029943 
2.8817 XlO" 5 
49.254 
+1.9 
357.9 
-9453.7 
- .99724 
- 6.093 
3.156 
68 
76.0 
.046898 
3.9649X10-5 
53.856 
+1.5 
390.9 
-9444.3 
-1.4168 
- 6.144 
3.179 
79.0 
82.0 
85.0 
88.0 
91.0 
94.0 
97.0 
100.0 
102.0 
104.0 
106.0 
108.0 
110.0 
112.0 
114.0 
116.0 
118.0 
120.0 
123.0 
126.0 
129.0 
132.0 
135.0 
139.0 
144.0 
150.0 
158.0 
169.0 
.072212 
.109390 
.16333 
.24047 
.34957 
.50213 
.71307 
1.0021 
1.3965 
1.9336 
2.6622 
3.6417 
4.9551 
6.7064 
9.0252 
12.091 
16.111 
21.371 
28.189 
36.929 
48.084 
62.226 
80.076 
102.39 
129.93 
163.42 
203.42 
250.04 
5.3893X10-5 
7.2410X10-5 
9.6292X10-5 
1.2678X10-« 
1.6542X10-1 
2.1402X10-1 
2.7464X10-1 
3.4983X10-1 
4.4296X10-1 
5.5829X10-1 
7.0083X10-1 
8.7570X10-1 
1.0901X10-5 
1.3519X10-3 
1.6697X10-3 
2.0557X10-3 
2.5212X10-3 
3.0822X10-3 
3.7531X10-3 
4.5477X10-3 
5.4867X10-3 
6.5907X10-3 
7.8853X10-3 
9.3916X10-3 
1.1125X10-2 
1.3095X10-2 
1.5302X10-2 
1.7721X10-2 
58.691 
53.753 
69.053 
74.587 
80.360 
86.376 
92.650 
99.130 
106.97 
115.25 
124.02 
133.26 
143.00 
153.28 
164.08 
175.47 
187.41 
199.96 
211.34 
223.05 
235.12 
247.54 
260.34 
271.45 
280.69 
287.91 
291.19 
288.95 
424.9 
461.5 
498.7 
538.3 
579.5 
621.9 
666.7 
717.7 
773.5 
829.4 
895.4 
963.0 
1033.6 
1105.2 
1185.9 
1264.5 
1351.7 
1431.0 
1512.5 
1597.0 
1681.4 
1770.7 
1850.7 
1920.6 
1976.0 
2007.0 
1991.8 
1919.6 
-9433.1 
-9422.5 
-9410.3 
-9398.1 
-9375.5 
-9370.9 
-9356.7 
-9341.1 
-9321.7 
-9297.6 
-9289.2 
-9257.5 
-9233.6 
-9205.4 
-9181.1 
-9148.9 
-9119.7 
-9085.3 
-9057.2 
-9028.3 
-8996.1 
-8965.0 
-8931.0 
-8904.3 
-8881.7 
-8863.9 
-8845.8 
-8864.9 
- 1.9880 
- 2.7511 
- 3.7680 
- 5.1007 
- 6.8307 
- 9.0866 
- 11.956 
- 15.546 
- 19.987 
- 25.522 
- 32.594 
- 41.225 
- 51.979 
- 65.380 
- 81.660 
- 101.82 
- 126.33 
- 156.64 
- 194.98 
- 239.93 
- 294.67 
- 359.90 
- 439.09 
- 536.73 
- 656.63 
- 804.77 
- 991.80 
-1251.4 
6.197 
6.245 
6.291 
6.333 
6.377 
6.417 
6.456 
6.498 
6.540 
6.582 
6.621 
6.661 
6.698 
6.736 
6.773 
6.808 
6.843 
6.879 
6.905 
6.932 
6.961 
6.987 
5.012 
5.030 
5.043 
5.052 
5.050 
5.030 
3.203 
3.225 
3.246 
3.265 
3.285 
3.303 
3.321 
3.340 
3.359 
3.378 
3.396 
3.414 
3.431 
3.448 
3.465 
3.481 
3.497 
3.513 
3.525 
3.537 
3.550 
3.562 
3.573 
3.581 
3.587 
3.591 
3.590 
3.581 
The check equation is g (zi — Zo) = — 
Pi - Po 
|°10 
(Cp a — Cpio) {Ta — To) + A g (zi— zo) 
382 EXTENSION OF THERMODYNAMIC COMPUTATIONS THE THERMODYNAMIC TERMS 383