Polonium-210, an alpha emitter, has a halflife of \(138.4\) days. Suppose you
were to collect the helium gas originating from the alpha particles. How many
milliliters of helium gas at standard temperature and pressure would you
collect from \(1.000 \mathrm{~g}\) of polonium dioxide, \(\mathrm{PoO}_{2}\), in a
period of \(138.4\) days? [Assume all the polonium in the sample is \({ }^{210}
\mathrm{Po}\), molar mass \(209.98287 \mathrm{~g} / \mathrm{mol}\). Alpha
emission from polonium- 210 yields the nonradioactive isotope lead-206; see
Problem 16.103.]