Chapter 1, Problem 39AP

A rough estimate of the radius of a nucleus is provided by the formula $r=k{A}^{\text{1}/\text{3}}$ , where k is approximately $\text{1}.\text{3}\times \text{1}{0}^{-\text{13}}\text{cm}$ and A is the mass number of the nucleus. Estimate the density of the nucleus of ${}^{\text{127}}\text{I}$ (which has a nuclear mass of $\text{2}.\text{1}\times \text{1}{0}^{-\text{22}}\text{g}$ ) in grams per cubic centimeter. Compare with the density of solid iodine, $\text{4}.{\text{93 g cm}}^{-\text{3}}$ .