How Much Energy Is Needed to Separate Nucleons in a Gold-197 Nucleus?

In summary, to separate the nucleons completely in a gold-197 nucleus, you must supply the binding energy of the nucleus, which can be calculated by subtracting the mass of the nucleus from the mass of the nucleons and then multiplying by 931.5 MeV/u. The binding energy per nucleon can also be calculated from this value.
  • #1
matt72lsu
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Homework Statement


The atomic mass of gold-197 is 196.96654 u.

How much energy is required to completely separate the nucleons in a gold-197 nucleus?

Homework Equations



E = 196.96654 u x 931.5

The Attempt at a Solution


I did the above calculation and got 1.83e5 MeV but I am pretty sure I did this completely wrong. help?
 
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  • #2


Does gold-197 have 196.96654 nucleons? How many does it really have?
 
  • #3


To separate the nucleons completely, you must supply the binding energy of the nucleus:

Eb = [m(nucleons) - m(nucleus)]c^2 (Note that mass is in kg).

Alternatively, use 931.5MeV / u to simplify the calculation (and use only atomic mass units):

Eb = [m(nucleons) - m(nucleus)] x 931.5 MeV/u

If the binding energy is Eb, what is the binding energy per nucleon?Also, remember that the atomic mass includes electrons, so you will have to subtract the mass of these in order to obtain the mass of the nucleus only.

BTW, I think you did the calculation to find the mass-energy of the gold atom, rather than the energy required to separate its nucleons.
 
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FAQ: How Much Energy Is Needed to Separate Nucleons in a Gold-197 Nucleus?

What is energy?

Energy is the ability to do work or cause change. It can take many forms, such as heat, light, sound, and motion.

What are the different types of energy?

There are several types of energy, including kinetic (energy of motion), potential (stored energy), thermal (heat energy), electrical, chemical, nuclear, and electromagnetic (energy of light and other forms of radiation).

How is energy measured?

The standard unit of measurement for energy is the joule (J). Other commonly used units include calories (cal) and kilowatt-hours (kWh).

How does energy transfer and transform in different systems?

Energy can be transferred from one system to another, such as from a battery to a light bulb, or transformed from one type to another, such as from electrical energy to thermal energy in a toaster.

What are some examples of renewable and non-renewable energy sources?

Renewable energy sources, such as solar, wind, hydro, and geothermal energy, can be replenished and will not run out. Non-renewable energy sources, such as fossil fuels (coal, oil, and natural gas) and nuclear energy, will eventually be depleted and cannot be easily replaced.

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