A small quantity of $\mathrm{NaCl}$ containing radioactive $_{11}^{24} \mathrm{Na}$ is added to an aqueous solution of $\mathrm{NaNO}_{3}$. The solution is cooled, and $\mathrm{NaNO}_{3}$ is crystallized from the solution. Would you expect the $\mathrm{NaNO}_{3}(\mathrm{s})$ to be radioactive? Explain.