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Concept explainers
Interpretation:
The nuclear binding energy and the nuclear binding energyper nucleon, in joules, for a given nucleus is to be determined.
Concept Introduction:
The nuclear binding energy is calculated by using the relation represented as follows:
Here,
The mass defect is defined as the difference between the given mass and the predicted mass. Thus, the formula of mass defect is as follows:
Here,
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Answer to Problem 20QP
Solution:
Explanation of Solution
a)
In the given nucleus,
The mass of
The predicted mass of
The mass defect is calculated by using the relation as follows:.
Substitute
The value of mass defect is converted into Kg by using the relation represented as follows:.
The nuclear binding energy is calculated by the relation as follows:
Substitute
The magnitude of binding energy is considered.
Now, the nuclear binding energy per nucleon is calculated as follows:
The number of nucleons is defined as the sum of protons and neutrons.
Thus,
Substitute
Therefore, nuclear binding energy per nucleon is
b)
In the given nucleus,
The mass of
The predicted mass of
The mass defect is calculated by using the relation as follows:
Substitute
The value of massdefect is converted into Kg by using the relation:
The nuclear binding energy is calculated by the relation as follows:
Substitute
The magnitude of binding energy is considered.
Now, the nuclear binding energy per nucleon is calculated as follows:
The number of nucleons is defined as the sum of protons and neutrons.
Thus,
Substitute
Therefore, the nuclear binding energy per nucleon is
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Chapter 20 Solutions
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