Calculating Spontaneous Fission Rate of 238U and Its Half-Life

In summary, spontaneous fission is a type of nuclear decay where an unstable atom splits into smaller atoms without external interference. Unlike other types of nuclear decay, it does not require an external trigger. The resulting products can vary and may include smaller atoms, neutrons, photons, and other particles. While it can be dangerous in certain situations, spontaneous fission occurs at a low rate in nature. It can be controlled in nuclear reactors but cannot be completely prevented due to its natural occurrence.
  • #1
matt222
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Homework Statement



Spontaneous fission rate of 238U is one fission per 100s per g show that it is equal to half life of 5.5x10^15year

Homework Equations





The Attempt at a Solution



I tried so many different ways, one of them was to use avogadro number with weight mass 238 and then multiply it by the fission rate but it does not work, any idea
 
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  • #2
If [tex]N_0[/tex] is number of atoms in 1 g.

The main formula is

[tex]
N=N_02^{-t/T}
[/tex]

After [tex]t=100 s [/tex] we get

[tex]
N_0-1=N_02^{-t/T}
[/tex]
 

What is spontaneous fission?

Spontaneous fission is a type of nuclear decay in which an unstable atom spontaneously splits into two or more smaller atoms, releasing energy and particles in the process.

How is spontaneous fission different from other types of nuclear decay?

Unlike other types of nuclear decay, such as alpha or beta decay, spontaneous fission does not require an external particle or energy to trigger the splitting of the atom. It occurs naturally due to the instability of the nucleus.

What are the products of spontaneous fission?

The products of spontaneous fission can vary, but they typically include two or more smaller atoms, as well as neutrons, photons, and other particles. The specific products depend on the type of atom undergoing fission.

Is spontaneous fission dangerous?

Spontaneous fission can be dangerous in certain situations, such as in a nuclear reactor or a nuclear weapon. However, in nature, spontaneous fission occurs at a very low rate and is not a significant source of radiation exposure.

Can spontaneous fission be controlled?

Yes, spontaneous fission can be controlled to some extent in nuclear reactors by using control rods to absorb excess neutrons and regulate the rate of fission. However, it cannot be completely prevented as it is a natural process inherent to certain types of atoms.

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