Copper-64 and aluminium-27 are two stable nuclides used in medical and industrial…

CHEMISTRY · Multi-part · ISC · Chemistry · Physics · Atoms and Nuclei

Problem

Copper-64 and aluminium-27 are two stable nuclides used in medical and industrial applications. (a) Calculate the ratio of their nuclear radii

\dfrac{R_{\text{Cu}}}{R_{\text{Al}}}

. Take

R_0=1.2\times10^{-15}\,\text{m}

. (b) Find the corresponding ratio of their nuclear surface areas

\dfrac{S_{\text{Cu}}}{S_{\text{Al}}}

. Express your answer as a decimal number correct to three significant figures. (c) If the radius of an aluminium-27 nucleus is

3.6\,\text{fm}

, determine the numerical value of the copper-64 nuclear radius in femtometres.