27° Count Rumford’s Experiments to determine 
nerated fluid to their corresponding densities, in a clear and 
satisfactory manner. 
Without increasing the length of this paper still more (it 
being perhaps already too voluminous), by giving an account 
in detail of all the various computations I made, in order, from 
the results of the experiments in the foregoing table, to ascer- 
tain the real value of z, and the rate at which it increases as x 
is increased, I shall content myself with merely giving the ge- 
neral results of these investigations, and referring for farther 
information to the following table II, where the agreement of 
the law founded on them, with the results of the foregoing ex- 
periments, may be seen. 
Having from the results of the experiments in table i. 
computed the different values of 2, corresponding to all the 
different densities, or different charges of powder, from 1 grain, 
or 39 thousandth parts , to 18 grains, or 702 thousandth parts of 
the capacity of the barrel, I found that while the density of 
the elastic fluid = x, expressed in thousandth parts , is increased 
from o to 1000 (or till the powder completely fills the space in 
which it is confined), the variable part £ of the exponent of x , 
(1 -f %) is increased from o to And though some of the 
experiments, and particularly those which were made with 
large charges of powder, seemed to indicate that while x is 
increased with an equable or uniform motion, z increases with 
a motion continually accelerated ; yet, as the results of by far 
the greatest number of the other experiments showed the velo- 
city of the increase of z to be equable , this circumstance, added 
to some other reasons drawn from the nature of the subject, 
have induced me to assume the ratio of the increase of 2 to the 
increase of x as constant. 
