Calculate the binding energy per nucleon (in J) for ³He and He. The atomic masses are 3.016029 u for ³He, and 4.002603 u for "He. (Enter unrounded values. Assume that the mass of H= 1.007825 u, m₂ = 1.007275 u, m₁ = 1.008666 u, and me = 0.000549 u, respectively.) 3He 3/nucleon 4He J/nucleon

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Calculate the binding energy per nucleon (in J) for ³He and He. The atomic masses are 3.016029 u for ³He, and 4.002603 u for He. (Enter unrounded values. Assume that the mass of H = 1.007825 u,
1.008666 u, and me = 0.000549 u, respectively.)
= 1.007275 u, mn
mp
3He
4He
=
J/nucleon
J/nucleon
Transcribed Image Text:Calculate the binding energy per nucleon (in J) for ³He and He. The atomic masses are 3.016029 u for ³He, and 4.002603 u for He. (Enter unrounded values. Assume that the mass of H = 1.007825 u, 1.008666 u, and me = 0.000549 u, respectively.) = 1.007275 u, mn mp 3He 4He = J/nucleon J/nucleon
Expert Solution
Step 1: Binding Energy

Binding energy :- 

                     binding energy, amount of energy required to separate a particle from a system of particles or to disperse all the particles of the system. Binding energy is especially applicable to subatomic particles in atomic nuclei, to electrons bound to nuclei in atoms, and to atoms and ions bound together in crystals.

Binding energy is given by  

Eb = ∆m.C 

Where Eb = binding energy 

            ∆m = mass defect 

              C = speed of light  

Mass defect ∆m :- 

   Mass defect is the difference between the actual atomic mass and the predicted mass calculated by adding the mass of protons and neutrons present in the nucleus. The actual atomic mass is less than the predicted mass calculated by adding the masses of nucleons.

∆m = predicted mass - actual atomic mass 

       = (Zmp + Nmn + Zme) - mA 

Where Z = number of proton= number of electrons

N  = number of neutrons

mp = mass of proton

m = mass of neutron 

me  = mass of electron 

m = atomic mass  


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