Solved: (a) Describe Rutherfords experiment and how it led

Chapter 2, Problem 2.78

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(a) Describe Rutherfords experiment and how it led to the structure of the atom. How was he able to estimate the number of protons in a nucleus from the scattering of the particles? (b) Consider the 23Na atom. Given that the radius and mass of the nucleus are 3.04 3 10215 m and 3.82 3 10223 g, respectively, calculate the density of the nucleus in g/cm3 . The radius of a 23Na atom is 186 pm. Calculate the density of the space occupied by the electrons in the sodium atom. Do your results support Rutherfords model of an atom? [The volume of a sphere of radius r is (4/3)r 3 .]

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