How Do You Calculate the Decay Constant from Radioactivity Measurements?

In summary: Can you provide the specific equations and values you're working with?In summary, the conversation discusses finding the decay constant of a sample of radioactive isotope based on its initial and final activities. The equations used include 1Bq = 1 decay/sec and ln(2)/k = t(half-life). The relationship between Coulomb force and potential energy is also briefly mentioned.
  • #1
GTBuzz42
3
0

Homework Statement


A sample of radioactive isotope is found to
have an activity of 120 Bq imediately after it
is pulled from the reactor that formed the iso-
tope. Its activity 1 h 55 min later is measured
to be 85.8 Bq.
Find the decay constant of the sample. An-
swer in units of h^-1.


Homework Equations



1Bq= 1 decay/sec ln(2)/k= t(half-life)

The Attempt at a Solution



120-85.8/(115*60)?
 
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  • #2
Not even close. You'll also want the equation that B0*exp(-k*t)=B1, where B0 in the initial activity, B1 is the final activity, t is the time elapsed and k is the decay constant.
 
  • #3
Then the half life should just be ln(2)/lambda?
 
  • #4
That's what you've already said, isn't it? Except for some reason you switched k to lambda.
 
  • #5
thanks

If I have solved for a Coulomb force between an alpha particle and a carbon nucleus, is there any relations that get to potential energy? I thought energy from that would just be Fr
 
  • #6
GTBuzz42 said:
thanks

If I have solved for a Coulomb force between an alpha particle and a carbon nucleus, is there any relations that get to potential energy? I thought energy from that would just be Fr

That's pretty vague.
 

1. What is nuclear physics?

Nuclear physics is a branch of physics that studies the properties and behavior of atomic nuclei, including their structure, interactions, and transformations.

2. What is nuclear energy?

Nuclear energy is the energy released during a nuclear reaction, such as fission or fusion. It is harnessed to generate electricity in nuclear power plants.

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

Nuclear fission is the process in which a heavy nucleus splits into smaller nuclei, releasing energy. Nuclear fusion is the process in which two or more smaller nuclei combine to form a larger nucleus, also releasing energy.

4. What are the potential risks and benefits of nuclear energy?

The benefits of nuclear energy include its high energy output, low carbon emissions, and reliability. However, the potential risks include accidents, nuclear waste disposal, and the potential for nuclear weapons development.

5. How is nuclear physics used in other fields?

Nuclear physics has applications in various fields such as medicine (radiation therapy and imaging), industry (radiation processing and nuclear gauges), and agriculture (mutation breeding). It also plays a crucial role in understanding the origin and evolution of the universe.

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