The atomic mass of `.^(16)O` is `15.995` amu while the individual masses of proton and neutron are `1.0073` amu and `1.0087` amu respectively. The mass of electron is `0.000548` amu. Calculate the binding energy of the oxygen nucleus.

Answer

`12.38xx10^(-13)J`

Explanation

`._(8)O^(16)` contains 8 protons, 8 electrons, and `16-8=8` neutrons.
Mass defect `=Deltam=[Zn_(H)+(A-Z)m_(n)]-M`
` Deltam=[8xx1.0073+8xx1.0087]-15.595`
`=[8.0584+8.0696]-15.995`
`=16.128-15.995`
`0.133am u`
Total binding energy
`=0.133xx931.5 MeV`
`=123.8895MeV`
Binding energy per nucleon
`=(123.8895)/(16)`
`=7.743MeV`
`=7.743xx10^(6)eV` ltbr. `=7.743xx10^(6)xx1.6xx10^(-19)J`
`=12.38xx10^(-13)J`