There are three naturally occurring stable isotopes of magnesium: 24MB, 25MG, and 26MB, which haverelative abundances on Earth of 79%, 10%, and 11% respectively. Note that the atomic number ofmagnesium is 12.a) ) A magnesium-24 nucleus can be considered as nucleons uniformly distributed in a sphericalvolume. Calculate the energy required to construct a uniformly charged sphere, using the following2Q220πεο Requation: Uwhere Q is the total charge and R is the radius.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 resultsfrom parts (i) and (ii) discuss how the nucleus is held together.b) The radioisotope of magnesium with the longest half-life is magnesium-28, with a half-life of 20.9hrs. Magnesium-28 decays through B- decay into aluminium-28. With reference to fundamentalparticles, describe the process which occurs in beta minus decay. Hence determine the equation forthe decay of magnesium-28 into aluminum-28.

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