Observed mass of 16O is 15.9956112 amu. Calculate its binding energy, if masses of each neutron and proton are 1.008665 amu and 1.007825 amu respectively.
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Given info : Observed mass of ¹⁶O is 15.9956112 amu. the masses of each neutron and proton are 1.008665 amu and 1.007825 amu respectively.
To find : The binding energy of oxygen is...
solution : in the nucleus of an oxygen atom, 8 protons and 8 neutrons.
so, mass of an oxygen atom = 8 × mass of proton + 8 × mass of neutron
= 8 × 1.007825 amu + 8 × 1.008665 amu
= 16.13192 amu
now ∆m = calculated mass - observed mass
= 16.13192 - 15.9956112
= 0.1363088 amu
we know, 1 amu = 93.5 MeV
= 0.1363088 amu × 93.5 MeV/amu
= 12.7448728 ≈ 12.75 MeV
Therefore the binding energy of oxygen atom is 12.75 MeV
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