There are three naturally occurring stable isotopes of magnesium: 24Mg, 25Mg, and 26Mg, which have relative abundances on Earth of 79%, 10 %, and 11% respectively. Note that the atomic number of magnesium is 12. a) i) A magnesium-24 nucleus can be considered as nucleons uniformly distributed in a spherical volume. Calculate the energy required to construct a uniformly charged sphere, using the following 20² equation: U 1 , where Q is the total charge and R is the radius. 20πε, R ii) Calculate the binding energy (in eV) of magnesium-24, which has an atomic mass of 23.9850 AMU. The mass of a neutron is 1.0087 amu and the mass of a proton is 1.0073 amu. Using your results from parts (i) and (ii) discuss how the nucleus is held together.

There are three naturally occurring stable isotopes of magnesium: 24Mg, 25Mg, and 26Mg, which have relative abundances on Earth of 79%, 10 %, and 11% respectively. Note that the atomic number of magnesium is 12. a) i) A magnesium-24 nucleus can be considered as nucleons uniformly distributed in a spherical volume. Calculate the energy required to construct a uniformly charged sphere, using the following 20² equation: U 1 , where Q is the total charge and R is the radius. 20πε, R ii) Calculate the binding energy (in eV) of magnesium-24, which has an atomic mass of 23.9850 AMU. The mass of a neutron is 1.0087 amu and the mass of a proton is 1.0073 amu. Using your results from parts (i) and (ii) discuss how the nucleus is held together.