2H is a loosely bound isotope of hydrogen, called deuterium or heavy hydrogen. It is stable but relatively rare — it form only 0.015% of natural hydrogen. Note that deuterium has Z = N, which should tend to make it more tightly bound, but both are odd numbers. Required:
Calculate BE/A, the binding energy per nucleon, for 2H in megaelecton volts per nucleon

0.88 MeV/nucleon

Explanation:

The binding energy (B) per nucleon of deuterium can be calculated using the following equation:

Where:

Z: is the number of protons = 1

N: is the number of neutrons = 1

: is the proton's mass = 1.00730 u

: is the neutron's mass = 1.00869 u

M: is the nucleu's mass = 2.01410

A = Z + N = 1 + 1 = 2    

Now, the binding energy per nucleon for ²H is:

Therefore, the binding energy per nucleon for ²H is 0.88 MeV/nucleon.

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