Energy released in nuclear fission problem

In summary, nuclear fission is a process where the nucleus of an atom is split, releasing a large amount of energy that can be used to generate electricity. On average, one fission reaction can release around 200 million electron volts (MeV) of energy. This process differs from nuclear fusion, which involves combining smaller nuclei to release energy and is the process that powers the sun. The main dangers of nuclear fission include the release of radiation and the proper disposal of radioactive waste. Its applications include electricity generation, nuclear weapons, and medical treatments.
  • #1
unscientific
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Homework Statement



21b10ci.png


Homework Equations





The Attempt at a Solution



(a) Shown.

(b) W = 975 MeV

(c) Initially nucleus has volume V. Splits into two smaller particles each with charge Q/2, and volume V/2. So for each particle, Q/2 and R*(1/2)1/3

So, W' ~ 2 * [(0.5)2/(0.5)1/3] = (0.5)2/3

ΔW = 360 MeV


I'm not sure if the volume of each is halved or not by their phrasing..
 
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  • #2
Both spheres get V/2, right. The density of nuclei is roughly constant, so volume is conserved in nuclear reactions.
 

1. What is nuclear fission and how does it produce energy?

Nuclear fission is a process in which the nucleus of an atom is split into two smaller nuclei, releasing a large amount of energy in the form of heat and radiation. This energy is harnessed to generate electricity in nuclear power plants.

2. How much energy is released in nuclear fission?

The amount of energy released in nuclear fission varies depending on the type of nucleus being split, but on average, one fission reaction can release around 200 million electron volts (MeV) of energy.

3. What is the difference between nuclear fission and nuclear fusion?

Nuclear fission involves splitting a larger nucleus into smaller ones, while nuclear fusion involves combining smaller nuclei to form a larger one. Both processes release energy, but fusion is the process that powers the sun and other stars.

4. What are the potential dangers of nuclear fission?

The main danger of nuclear fission is the release of large amounts of radiation, which can be harmful to living organisms. The radioactive waste produced by nuclear fission can also be hazardous if not properly stored and disposed of.

5. What are the applications of nuclear fission?

Nuclear fission is primarily used to generate electricity in nuclear power plants. It is also used in the production of nuclear weapons and in some medical treatments, such as cancer therapy.

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