Find the average binding energy per nucleon of `._7N^14` and `._8O^16`. Their atomic masses are 14.008 u and 16.000 u. The mass of `._1H^1`atom is 1.007825 u and the mass of neutron is 1.008665 u. Which is more stable?

Explanation

The average binding energy per nucleon
`=[[Zm_H+(A-Z)m_n-._zM^A]]/A`
The average binding energy per nucleon of `._7N^14`
`=([7xx1.007825+7xx1.008665-14.008]uxxc^2)/14`
`=[[14.115430-14.008]931.5)/14` MeV
`=(0.10743xx931.5)/14` MeV = 7.148 MeV
The average binding energy per nucleon of `._8O^16`
`=([8xx1.007825+8xx1.008665-16.000]uxxc^2)/A`
`=(0.131920xx931.5)/16` MeV= 7.680 MeV
`therefore ._8O^16` is more stable than `._7N^14` .