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Concept explainers
Interpretation:
The nuclear binding energy per nucleon for the given nucleus is to be calculated.
Concept introduction:
The nuclear binding energy is calculated by using the following relation:
Here,
Mass defect is defined as the difference between the given mass and predicted mass. Thus, the formula for the mass defect is as follows:
Here,
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Answer to Problem 68AP
Solution:
Explanation of Solution
a)The mass of
In the given nucleus,
The mass of
The predicted mass of
The mass defect is calculated by using the relation given below:
Here,
Substitute
The value of mass defect is converted into kg by using the following relation:
The nuclear binding energy is calculated by the relation given below:
Here,
Substitute
The nuclear binding energy per nucleon is calculated as follows:
The number of nucleons is defined as the sum of the protons and neutrons.
Thus,
Substitute
Therefore, the nuclear binding energy per nucleon is
b)The mass of
In the given nucleus,
The mass of
The predicted mass of
The mass defect is calculated by using the relation given below:
Here,
Substitute
The value of mass defect is converted into kg by using the following relation:
The nuclear binding energy is calculated by the relation given below:
Here,
Substitute
The nuclear binding energy per nucleon is calculated as follows:
The number of nucleons is defined as the sum of the protons and neutrons.
Thus,
Substitute
Therefore, the nuclear binding energy per nucleon is
c)The mass of
In the given nucleus,
The mass of
The predicted mass of
The mass defect is calculated by using the relation given below:
Here,
Substitute
The value of mass defect is converted into kg by using the following relation:
The nuclear binding energy is calculated by the relation given below:
Here,
Substitute
The nuclear binding energy per nucleon is calculated as follows:
The number of nucleons is defined as the sum of the protons and neutrons.
Thus,
Substitute
Therefore, the nuclear binding energy per nucleon is
d)The mass of
In the given nucleus,
The mass of
The predicted mass of
The mass defect is calculated by using the relation given below:
Here,
Substitute
The value of mass defect is converted into kg by using the following relation:
The nuclear binding energy is calculated by the relation given below:
Here,
Substitute
The nuclear binding energy per nucleon is calculated as follows:
The number of nucleons is defined as the sum of the protons and neutrons.
Thus,
Substitute
Therefore, the nuclear binding energy per nucleon is
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Chapter 20 Solutions
Chemistry
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