Thorium and uranium behave quite differently with regard to the action
of ammonia and ammonium carbonate. Ur X is completely precipitated with
the uranium in an ammonia solution and the filtrate is inactive. Ur X is
separated by ammonium carbonate, while Th X under the same conditions is
completely precipitated with the thorium. The Ur X and the Th X thus
behave like distinct types of matter with well-marked chemical
properties quite distinct from those of the substances in which they are
produced. The removal of Ur X by the precipitation of barium is probably
not directly connected with the chemical properties of Ur X. The
separation is probably due to the dragging down of the Ur X with the
dense barium precipitate. Sir William Crookes found that the Ur X was
dragged down by precipitates when no question of insolubility was
involved, and such a result is to be expected if the Ur X exists in
extremely minute quantity. It must be borne in mind that the actual
amount of the active constituents Th X and Ur X, separated from thorium
and uranium, is probably infinitesimal, and that the greater proportion
of the residues is due to impurities present in the salt and the
reagents, a very small amount of active matter being mixed with them.
=132. Rate of production of Th X.= If the recovery of the activity of
uranium or thorium is due to the continuous production of new active
matter, it should be possible to obtain experimental evidence of the
process. As the case of thorium has been most fully investigated, a
brief account will be given of some experiments made by Rutherford and
Soddy[228] to show that Th X is produced continuously at a constant
rate. Preliminary experiments showed that three successive
precipitations were sufficient to remove the Th X almost completely from
the thorium. The general method employed was to precipitate a solution
of 5 grams of thorium-nitrate with ammonia. The precipitate was then
redissolved in nitric acid and the thorium again precipitated as before,
as rapidly as possible, so that the Th X produced in the time between
successive precipitations should not appreciably affect the results. The
removal of the Th X was followed by measurements of the activity of the
residues obtained from successive filtrates. In three successive
precipitations the activities of the residues were proportional to 100,
8, 1·6 respectively. Thus two precipitations are nearly sufficient to
free the thorium from Th X.
The thorium freed from Th X was then allowed to stand for a definite
time, and the amount of Th X formed during that time found by
precipitating it, and measuring its radio-activity. According to the
theory, the activity _I_{t}_ of the thorium formed in the time _t_ is
given by
$$ \frac {I_t} {I₀} = 1 − e^{–λt} $$,
where _I₀_ is the total activity of Th X, when there is radio-active
equilibrium.
If λ_t_ is small,
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