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Calculate the binding energy per nucleon...

Calculate the binding energy per nucleon of nucleus.`_(6)C^(12)` Given mass of `_(6)C^(12)` nucleus = 12.000000 a.m.u., mass of proton = 1.007825 a.m.u., mass of neutron= 1.008665 a.m.u. and 1 a.m.u.= 931.5 MeV

Text Solution

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Mass of Carbon (C) nucleus = `M_(N)` =12.000000 a.m.u.
Mass of Proton = `m_(p)`=1.007825 a.m.u.
Mass of neutron = `m_(n)` = 1.008665 a.m.u.
In carbon (C) nucleus, there are six protons and six neutrons.
`=6xx1.007825+6 xx 1.008665-12.000000`
`= 6.04695+6-05199-12-000000` `=0.09894 a.m.u.`
=92.16261 MeV
Binding energy per nucleon
`("B.E")/(A ("Atomic Number"))`
=7.68 MeV/nucleon.
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