To determine the \(K_{s p}\) value of \(\mathrm{Hg}_{2} \mathrm{I}_{2}\), a solid
sample is used, in which some of the iodine is present as radioactive I-131.
The count rate of the sample is \(5.0 \times 10^{11}\) counts per minute per
mole of \(\mathrm{I}\). An excess amount of \(\mathrm{Hg}_{2} \mathrm{I}_{2}(s)\)
is placed in some water, and the solid is allowed to come to equilibrium with
its respective ions. A 150.0-mL sample of the saturated solution is withdrawn
and the radioactivity measured at 33 counts per minute. From this information,
calculate the \(K_{s p}\) value for \(\mathrm{Hg}_{2} \mathrm{I}_{2}\).
