Now, in the experiment, the electrometer readily measured a current of
10⁻³ electrostatic units. Taking the charge on an ion as 3·4 × 10⁻¹⁰
electrostatic units, this corresponds to a production in the testing
vessel of about 3 × 10⁶ ions per sec., which would be produced by about
40 expelled α particles per second. Each radiating particle cannot expel
less than one α particle and may expel more, but it is likely that the
number expelled by an atom of the thorium emanation is not greatly
different from that expelled by an atom of the radium emanation.
In section 133 it has been shown that, according to the law of decay,
λ_N_ particles change per second when _N_ are present. Thus, to produce
40 α particles, λ_N_ cannot be greater than 40. Since for the thorium
emanation λ is ¹⁄₈₇, it follows that _N_ cannot be greater than 3500.
The electrometer thus detected the presence of 3500 particles of the
thorium emanation, and since in the static method the volume of the
condensing spiral was about 15 c.c., this corresponded to a
concentration of about 230 particles per c.c. An ordinary gas at
atmospheric pressure and temperature probably contains about 3·6 × 10¹⁹
molecules per c.c. Thus the emanation would have been detected on the
spiral if it had possessed a partial pressure of less than 10⁻¹⁷ of an
atmosphere.
It is not surprising then that the condensation point of the thorium
emanation is not sharply defined. It is rather a matter of remark that
condensation should occur so readily with so sparse a distribution of
emanation particles in the gas; for, in order that condensation may take
place, it is probable that the particles must approach within one
another’s sphere of influence.
Public-domain text, read in full here on John Shaqi.
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