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