The nuclear mass of 56fe is 55.9207 amu. calculate the binding energy per nucleon for 56fe.

The binding energy per nucleon is

Explanation:

Nucleons are defined as the sub-atomic particles which are present in the nucleus of an atom. Nucleons are protons and neutrons.

We are given a nucleus having representation:    

Number of protons = 26

Number of neutrons = 56 - 26 = 30  

To calculate the mass defect of the nucleus, we use the equation:

where,

= number of protons = 26  

= mass of one proton  = 1.00728 amu

= number of neutrons  = 30  

= mass of one neutron = 1.00866 amu

M = nuclear mass = 55.9207 amu  

Putting values in above equation, we get:  

To calculate the binding energy of the nucleus, we use the equation:

   (Conversion factor:    )

  (Conversion factor:  )

Number of nucleons in atom = 56

To calculate the binding energy per nucleon, we divide the binding energy by the number of nucleons, we get:  

Hence, the binding energy per nucleon is

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