1)An unknown nucleus has twice the volume of a nucleus with 71 nucleons. What is

Question

1)An unknown nucleus has twice the volume of a nucleus with 71 nucleons. What is the atomic mass number of the unknown nucleus?

Number____Units No units


2)A copper penny has a mass of 3.6 g. Determine the energy (in MeV) that would be required to break all the copper nuclei into their constituent protons and neutrons. Ignore the energy that binds the electrons to the nucleus and the energy that binds one atom to another in the structure of the metal. For simplicity, assume that all the copper nuclei are (atomic mass = 62.939 598 u).

Energy required = ____ Mev

Explanation / Answer

radius of nuclues with 71 nucleons is R = 1.2*10^-15 *(71)^1/3

R = 4.96 *10^-15 m

volume V1 = 1.33*3.14*4.96^3*10^-45 = 512.36*10^-45 m^3

there fore volume of unknown nucleus is V2 = 1024*10^-45 m^3

radius of unknown nucleus is R^3 = 1024*10^-45/1.33*3.14

                                  R = 6.25 *10^-15 m

atomic mass A^1/3 = 5.21 ,    A = 141.897 nucleons

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