A sample of a radioactive isotope contains nuclei of the isotope at time
. At time (
), the sample contains (
) nuclei of the isotope. The time interval
is short. Use the symbols
,
,
and
to give expressions for:
the average activity of the sample during the time ,
the probability of decay of a nucleus in the time ,
the decay constant of the isotope.
The isotope polonium-208 () is radioactive and decays to form lead-204 (
). The nuclear equation for this decay is
Data for nuclear masses are given in the table below.
Determine, for the decay of one nucleus of polonium-208:
the change, in , of the mass
the total energy, in , released.
The polonium-208 nucleus is initially stationary. The initial kinetic energy of the nucleus (
-particle) is found to be less than the energy calculated in (i) part 2. Suggest two possible reasons for this difference.