# Problem: The nuclear masses of 7Be, 9Be, and 10Be are 7.0147, 9.0100, and 10.0113 amu, respectively.Which of these nuclei has the largest binding energy per nucleon?

🤓 Based on our data, we think this question is relevant for Professor Harman's class at UVA.

###### FREE Expert Solution

We’re being asked to identify the nuclei with the largest binding energy per nucleon.

The binding energy is given by:

where Δm = mass defect and c = speed of light

The mass defect of nuclei is given by:

The theoretical mass of nuclei is given by:

where

Z is the number of proton

mp is the mass of a proton = 4.002604 amu

N is the number of neutron

mn is the mass of a neutron = 1.008665 amu

For each nuclei, we will do the following steps to calculate their binding energy then compare them:

Step 1: Calculate the theoretical mass

Step 2: Calculate the mass defect (Δm).
Step 3: Calculate the binding energy.
Step 4: Calculate the binding energy per nucleon.

###### Problem Details

The nuclear masses of 7Be, 9Be, and 10Be are 7.0147, 9.0100, and 10.0113 amu, respectively.

Which of these nuclei has the largest binding energy per nucleon?