Calculate the average binding energy per nucleon

In summary, the average binding energy per nucleon in the deuterium nucleus is 1.112 MeV/c^2. The energy required to bind an electron to the hydrogen nucleus is 13.4 eV, which is much stronger than the binding energy of a neutron. However, it is important to be careful with unit conversions and consider the factor of c-2 when calculating binding energy.
  • #1
salsabel
17
0
a) Calculate the average binding energy per nucleon in the deuterium nucleus.
b) The energy that binds an orbiting electron to the hydrogen nucleus is 13.4 eV. Calculate the ratio of the binding energy per nucleon to the binding per electron in deuterium. Which particle is held more tightly, the electron or the neutron?

I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.

1 eV = 1.0*10^6 MeV/C^2, so wouldn't that make the binding energy of an electron much stronger than that of a neutron?
 
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  • #2
Be careful, ask yourself - does that seem reasonable?
I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.

That is not an energy, it is a mass.
 
  • #3
salsabel said:
I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.
Careful, what you have actually calculated there is the mass deficit per nucleon, notice the factor of c-2.
salsabel said:
1 eV = 1.0*10^6 MeV/C^2, so wouldn't that make the binding energy of an electron much stronger than that of a neutron?
You need to be careful with your units here, an extra factor of c-2 has just popped up from nowhere. Again, you have quoted units of mass. You also need be careful when converting from eV to MeV.

1eV = 1x10-6MeV
 

Related to Calculate the average binding energy per nucleon

What is binding energy per nucleon?

Binding energy per nucleon is the amount of energy required to break apart the nucleus of an atom into its individual nucleons (protons and neutrons). It is measured in units of energy per nucleon, typically in MeV (mega-electron volts).

What is the significance of calculating average binding energy per nucleon?

Calculating the average binding energy per nucleon is important in understanding the stability and structure of atomic nuclei. It can also provide information about the amount of energy that can be released in nuclear reactions.

How is average binding energy per nucleon calculated?

The average binding energy per nucleon is calculated by dividing the total binding energy of an atom's nucleus by the total number of nucleons in the nucleus. This can be calculated using the mass defect of the nucleus and the speed of light according to Einstein's famous equation, E=mc².

What factors affect the value of average binding energy per nucleon?

The value of average binding energy per nucleon is affected by the number of protons and neutrons in the nucleus, as well as their arrangement and interactions with each other. It is also affected by the strong nuclear force, which holds the nucleus together, and the electromagnetic force, which can cause repulsion between like-charged protons.

Why is the average binding energy per nucleon higher for heavier nuclei?

The average binding energy per nucleon is higher for heavier nuclei because as the number of nucleons increases, the strong nuclear force has a greater overall effect on holding the nucleus together. This results in a higher binding energy per nucleon and a more stable nucleus.

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