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A given coin has a mass of 3.0 g . Calcu...

A given coin has a mass of 3.0 g . Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other . For simplicity assume that the coin is entirely made of `._29^63C` atoms ( of mass 62.92960 u). The masses of protons and neutrons are 1.00783 u and 1.00867 u respectively.

Text Solution

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Binding energy = `[Zm_p + (A-Z)m_n-m(._29^63Cu)]xx931.5`
=0.59225 x 931.5 MeV
Numbers of atoms in 3 g of Cu=`(6.023xx10^23xx3)/63`
`therefore` Binding energy of 3 g of Cu `=(0.59225xx931.5xx6.023xx10^23xx3)/63`
`=1.58xx10^25` MeV
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