The electron, its isolation and measurement and the determination of some of its properties
John Stuart Mill · en
This cloud-laden air then passes through a channel in an electrical
insulator—a paraffin block —into the tubes , , ,
which contain concentrated sulphuric acid. These drying tubes remove
all the moisture from the air and also such part of the charge as is
held on ions which in the process of bubbling through , ,
have actually touched the sulphuric acid. The dry air containing
the rest of the charge passes out through a channel in the paraffin
block into the flask . (If the gas being studied was
lighter than air, e.g., hydrogen, was of course inverted.) The
outside of is covered with tin foil which is connected to one of
the three mercury cups held by the paraffin block . If the air in
contained at first no charge, then an electrical charge exactly
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equal to the quantity of electricity which enters the flask will
appear by induction on the tin-foil coating which covers this flask
and this quantity can be measured by connecting the mercury
cup 2 to cup 3 which is connected to the quadrant electrometer ,
and observing the deflection per minute. Precisely similarly the total
quantity of electricity which is left per minute in the drying tubes
, , is exactly equal to the quantity which appears by
induction on the outer walls of the hollow metal vessel , which
surrounds the tubes , , . This quantity can
be measured by connecting mercury cup 1 to cup 3 and observing the
deflection per minute of the quadrant electrometer. The number of cubic
centimeters of gas which pass through the apparatus per minute is
easily found from the number of amperes of current which are used in
the electrolysis apparatus and the electro-chemical equivalent of
the gas. By dividing the quantities of electricity appearing per minute
in and by the number of cubic centimeters of gas generated
per minute we obtain the total charge per cubic centimeter carried by
the cloud.
The increase in weight of the drying tubes , , per
cubic centimeter of gas passing, minus the weight per cubic centimeter
of saturated water vapor, gives the weight of the cloud per cubic
centimeter. This completes the measurements involved in (2) and (3),
p. 47.
As to (4), p. 48, the average size of the droplets of water Townsend
found by passing the cloud emerging from into a flask and
observing how long it took for the top of the cloud to settle a
measured number of centimeters. The radius of the drops could then be
[Pg 267]
obtained from a purely theoretical investigation made by Sir George
Stokes,[198] according to which the velocity of fall of a
spherical droplet through a gas whose coefficient of viscosity was
is given by
in which is the density of the droplet. From this Townsend
got the average radius of the droplets and computed their
average weight by the familiar formula .
He was then ready to proceed as in (5), see p. 48.
[Pg 268]
APPENDIX C
THE BROWNIAN-MOVEMENT EQUATION