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A copper coin has a mass of 63.0g. Calcu...

A copper coin has a mass of 63.0g. Calculate the nuclear energy that would be required to separate all the neutrons and protons form each other. The coin is entirely made of `""_(29)^(63)Cu` atoms.
Mass of `""_(29)^(63)Cu` atom = 62.92960u
mass of proton = 1.00727u
Mass of neutron = 1.00866u
Avogadro's number = `6.022 xx 10^(23)`

Text Solution

Verified by Experts

`N= (6.023 xx 10^(23))/(63) xx 63 = 6.023 xx 10^(23)` atoms
Mass defect, `Delta m= Zm_(p) + (A-Z)m_(n)-M`
`=29 xx 1.00727 + 34 xx 1.00866-62.92960`
`Delta m= 0.5759` amu
Binding energy `= Delta m xx 931 MeV`
`=0.5759 xx 931= 536.1629 MeV`
Total energy required to separate the nucleons from each other
`E xx N= 536.1629 xx 6.023 xx 10^(23)`
`=3229.309 xx 10^(23)MeV`
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