# 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?

###### 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.

82% (217 ratings) ###### 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?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Mass Defect concept. If you need more Mass Defect practice, you can also practice Mass Defect practice problems.

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