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

Explanation

Mass of `._(8)O^(16) = 15.995` amu
Mass of 8 protons `= 8xx1.0073 = 8.0584`
Mass of 8 neutrons `= 8xx1.0087 = 8.0696`
Mass of 8 electrons `= 8xx0.000548 = 0.0044`
`:.` Mass defect `= [8.0584 + 8.0696 + 0.0044] - 15.995`
`= 0.137` amu
`:' Delta E = mc^(2)`.
`:. Delta E = 0.137xx1.66057xx10^(-27)xx6.02xx10^(23)xx(2.998xx10^(8))^(2)J`
`= 12.32xx10^(12)J mol^(-1)`