A dry current of air or any other gas is passed at a constant rate
through a long metal tube _TL_. After passing through a quantity of
cotton-wool to remove dust particles, the current of air passes over a
vessel _T_ containing a radio-active body such as uranium, which does
not give off a radio-active emanation. By means of insulated electrodes
_A_ and _B_, charged to a suitable potential, the current between the
tube and one of these electrodes can be tested at various points along
the tube.
A gauze screen, placed over the cross-section of the tube at _D_, serves
to prevent any direct action of the electric field in abstracting ions
from the neighbourhood of _T_.
If the electric field is sufficiently strong, all the ions travel in to
the electrodes at _A_, and no current is observed at the electrode _B_.
If the current is observed successively at different distances along the
tube, all the electrodes except the one under consideration being
connected to earth, it is found that the current diminishes with the
distance from the active body. If the tube is of fairly wide bore, the
loss of the ions due to diffusion is small, and the decrease in
conductivity of the gas is due to recombination of the ions alone.
On the ionization theory, the number _dn_ of ions per unit volume which
recombine in the time _dt_ is proportional to the square of the number
present. Thus
_dn_
---- = α_n²_,
_dt_
where α is a constant.
Integrating this equation,
1 1
--- − --- = α_t_,
_n_ _N_
if _N_ is the initial number of ions, and _n_ the number after a time
_t_.
The experimental results obtained[51] have been shown to agree very well
with this equation.
In an experiment similar to that illustrated in Fig. 6, using uranium
oxide as a source of ionization, it was found that half the number of
ions present in the gas recombined in 2·4 seconds, and that at the end
of 8 seconds one-fourth of the ions were still uncombined.
Since the rate of recombination is proportional to the square of the
number present, the time taken for half of the ions present in the gas
to recombine decreases very rapidly with the intensity of the
ionization. If radium is used, the ionization is so intense that the
rate of recombination is extremely rapid. It is on account of this
rapidity of recombination that large voltages are necessary to produce
saturation in the gases exposed to very active preparations of radium.
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