Question
Asked Nov 1, 2019
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The experimentally measured mass of the 200Hg atom is 199.968316 u. Find the binding energy
per nucleon predicted by the semiempirical binding energy formula and compare with the actual
value of e for this nucleus
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The experimentally measured mass of the 200Hg atom is 199.968316 u. Find the binding energy per nucleon predicted by the semiempirical binding energy formula and compare with the actual value of e for this nucleus

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Expert Answer

Step 1

Mass of proton = 1.007825 u

Mass of neutron = 1.008665 u

Mass of Hg = 199.968316 u

Mass of 80 protons = 80 × 1.007825 u = 80.626 u

Number of neutrons = 200 – 80 = 120

Mass of 120 neutrons = 120 × 1.008665 u = 121.0398 u

Total mass of 200 nucleons = 80.626 u + 121.0398 u = 201.6658 u

Mass defect of Hg, ∆m = 201.6658 – 199.968316 u = 1.697484 u

Step 2

The relation to calculate binding energy is shown as follows:      

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total binding energy = Amx931.5MeV

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Step 3

On substituting the value of mass defect in the above rela...

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total binding energy 1.697484x931.5MeV 1581.20635MeV

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