272 
Count Rumford’s Experiments to determine 
Table II. General Results of the Experiments in Table I. on 
the Force of fired Gunpowder. 
The Charge of 
Powder. 
Value of the 
Exponent 
1+0.0004*. 
Computed Elasticity of the ge- 
nerated Fluid, or Value of y, 
according to the Theorem 
^,+0.0004 x = y 
Actual Elasti- 
city, 2s shown 
by the Experi- 
ments. 
Difference of the 
computed and the 
actual Elasticities. 
In Grains. 
In equal 
Parts. 
In equal Parts. 
In 
Atmospheres. 
In 
Atmospheres. 
In Atmospheres. 
I 
39 
I.OI56 
41.294 
76.822 
77.86 
+ 
I.838 
2 
78 
I. 0312 
89-357 
164.506 
182.30 
+ 
17.794 
3 
H 7 
I.0468 
146.210 
269.173 
228.2 
— 
40.973 
4 
156 
I.0624 
213.784 
393-577 
382.4 
— 
II . 177 
5 
I 9 S 
I.0780 
294.209 
541.640 
561.2 
+ 
19.560 
6 
234 
1.093 6 
389.919 
7 i 7 - 84 i 
685.6 
— 
32.241 
7 
273 
1. 1092 
503-723 
927-353 
811.7 
— 
1 I 5-653 
8 
312 
1.1248 
638.889 
1176.19 
1164.8 
— 
1 2.390 
9 
35 1 
1. 1404 
799.223 
I 47 I -37 
I 55 I .3 
+ 
79.930 
10 
39 o 
1.1560 
989.169 
1821.06 
1884.3 
+ 
63.240 
11 
429 
1.1716 
1213.91 
2234.81 
2219. 
— 
15 8lO 
12 
468 
1.1872 
1479.50 
2723-77 
2573-7 
— 
150.07 
13 
507 
1.2028 
1 793 - 
3300.9 1 
3283.3 
— 
17.61 
14 
546 
1.2184 
2162.69 
3980.52 
4008. 
+ 
27.48 
*5 
585 
1.2340 
2598.18 
4783.26 
4722.5 
— 
60.76 
16 
624 
1.2496 
3 1 10.73 
5726.83 
7090. 
+ 1363-17 
l 7 
663 
1.2652 
3713.46 
6836.46 
18 
702 
1.2808 
4421.69 
8140.34 
10977. 
+ 2836.66 
19 
741 
1.2964 
5253-3 
9 6 7 i .33 
20 
780 
1.3120 
6229.14 
11467.8 
25.641 
1000 
1.4000 
15848.9 
29177.9 
The agreement of the elasticities computed from the theo- 
rem x i + o -°° o 4* y } with the actual elasticities as they were mea- 
suredin the experiments, maybe seen in the foregoing table; but 
this agreement may be seen in a much more striking manner 
by a bare inspection of the figure (Tab. VI.); for the line AD 
in this figure having been drawn from the computed elasticities, 
its general coincidence with the line AC shows how nearly the 
computed and the actual elasticities approach each other. And 
