Answer: (a) BE = 1.112 MeV
(b) BE = 7.074 MeV
(c) BE = 7.767 MeV
(d) BE = 8.112 MeV
Explanation: Binding energy per nucleon is the average energy necessary to remove a proton or a neutron from the nucleus of an atom. It is mathematically defined as:
Where
Δm is a difference in mass known as <u><em>mass</em></u><em> </em><u><em>defect</em></u>
A is atomic mass of an atom.
Mass Defect is determined by:
where:
Z is atomic number
is mass of proton
is mass of neutron
is mass of the nucleus
Mass of proton is 1.007825u.
Mass of neutron is 1.008665u.
The unit u is equal to 931.5MeV/c².
(a) 2H(deuterion): Given: Z = 1; A = 2; = 2.014102u
BE = 1.112MeV
(b) 4He (Helium): Given: Z = 2; A = 4; = 4.002603
BE = 7.074MeV
(c) 18O (Oxygen): Given: Z = 8; A = 18; = 17.999160
BE = 7.767MeV
(d) 23Na (Sodium): Given: Z = 11; A = 23; = 22.989767
BE = 8.112MeV