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

A given coin has a mass of 3.0g . 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)^(63)Cu` atoms (of mass 62.92960 u)

Text Solution

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Rest , mass of 29 protons and `(63-29)=34` neutrons.
`=29xx2.00728+34xx1.00867`
`=29.21112+34.29478`
`=63.5059 u`
Mass defect `Delta _(m) =63.5059-62.9296=0.5763 u`
BE`=0.5763xx931 MeV =536.5353 MeV`
`=8.58xx10^(-10) J/atom`.
Number of atoms in 3g of copper is `(3xx6.023xx10^(23))/(63)=0.2868xx10^(23)`
Energy required to separate these atoms `=0.2868xx10^(23)xx8.58xx10^(-10) J=2.461xx10^(13) J`
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