How Is the Mass Defect of the 7Li Nucleus Calculated?

In summary, the mass defect of a 7Li nucleus is the difference between its actual mass and the sum of its individual protons and neutrons. It is calculated using Einstein's equation, E=mc^2, and is caused by the strong nuclear force. The mass defect plays a crucial role in nuclear reactions and can be measured using mass spectrometry. This has helped to confirm the predictions of Einstein's equation and deepen our understanding of nuclear reactions.
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dvolpe
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Homework Statement



What is the mass defect of the 7Li nucleus (A = 7)?

Homework Equations


mass of 7Li nucleus per atomic table is 7.016004 u
N = A-Z or #neutrons = 7-3 = 4
computed mass of proton and neutrons in nucleus = 3 p*mass of p + 4n *mass of n
mass of proton = 1.00726 u
mass of neutron = 1.008665 u

mass defect = computed mass of protons + neutron - (atomic mass of nucleus per table)

The Attempt at a Solution



computed mass of p + n = 3(1.00726 u) + 4(1.008665 u) = 7.05644 u
mass defect of nucleus = 7.05644 - 7.016004 = .040436 u

Answer is .0421...help!
 
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  • #2


Hello! Your attempt at solving this problem is correct. The slight difference in the answer may be due to rounding errors in the atomic masses of protons and neutrons. The more accurate value for the mass defect of the 7Li nucleus is actually 0.040436 u, as you have calculated. So you were correct in your solution! Keep up the good work.
 

1. What is the mass defect of a 7Li nucleus?

The mass defect of a 7Li nucleus is the difference between the actual mass of the nucleus and the sum of the masses of its individual protons and neutrons. In other words, it is the amount of mass that is converted into energy during the formation of the nucleus.

2. How is the mass defect of a 7Li nucleus calculated?

The mass defect is calculated using Einstein's famous equation, E=mc^2, where E is the energy released, m is the mass defect, and c is the speed of light. By rearranging the equation, the mass defect can be calculated by dividing the energy released by the square of the speed of light.

3. What causes the mass defect of a 7Li nucleus?

The mass defect is caused by the strong nuclear force, which holds the protons and neutrons together in the nucleus. This force is stronger than the electromagnetic repulsion between positively charged protons, but it still requires a certain amount of energy to overcome. This energy is released as the mass defect.

4. How does the mass defect of a 7Li nucleus relate to nuclear reactions?

The mass defect plays a crucial role in nuclear reactions. When atoms undergo nuclear reactions, such as fusion or fission, some of the mass is converted into energy according to Einstein's equation. This energy is what powers nuclear reactors and nuclear weapons.

5. Can the mass defect of a 7Li nucleus be measured in experiments?

Yes, the mass defect can be measured in experiments using mass spectrometry. This technique measures the mass of particles with high precision and can detect the small differences in mass caused by the mass defect. This has been used to confirm the predictions of Einstein's equation and further our understanding of nuclear reactions.

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