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For lead (atomic mass = 205.974440 u) obtain (a) the mass defect in atomic mass

ID: 1475744 • Letter: F

Question

For lead (atomic mass = 205.974440 u) obtain (a) the mass defect in atomic mass units, (b) the binding energy (in MeV), and (c) the binding energy per nucleon (in MeV/nucleon). For lead (atomic mass = 205.974440 u) obtain (a) the mass defect in atomic mass units, (b) the binding energy (in MeV), and (c) the binding energy per nucleon (in MeV/nucleon). For lead (atomic mass = 205.974440 u) obtain (a) the mass defect in atomic mass units, (b) the binding energy (in MeV), and (c) the binding energy per nucleon (in MeV/nucleon).

Explanation / Answer

Solution: We have given For lead (atomic mass = 205.974440 u)

Pb has 82 protons and 124 neutrons

(a) the mass defect in atomic mass units
So the mass defect = (82*1.007825 + 124*1.008665 - 205.97440) = 1.74171u

b) the binding energy (in MeV)

=> EB = 1.74171*c^2 = 1.74171*931.5MeV/u = 1622MeV

c)the binding energy per nucleon (in MeV/nucleon).

=>EB/206 = 7.876MeV/u