The nuclear mass of 37cl is 36.9566 amu. calculate the binding energy per nucleon for 37cl.

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 = 17

Number of neutrons = 37 - 17 = 20

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

where,

= number of protons  = 17

= mass of one proton  = 1.00728 amu

= number of neutrons  = 20

= mass of one neutron = 1.00866 amu

M = nuclear mass = 36.9566 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 = 37

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

This in turn determines whether the substance exists in the solid, liquid, or gaseous state. Molecules in the solid phase have the least amount of energy, while gas particles have the greatest amount of energy. The temperature of a substance is a measure of the average kinetic energy of the particles.

Explanation: