Calculating Half-Life of Radioactive KCl

In summary, the half-life of radioactive KCl is approximately 1.3 billion years. It can be calculated using the formula t<sub>1/2</sub> = ln(2)/λ, where t<sub>1/2</sub> is the half-life, ln(2) is the natural logarithm of 2, and λ is the decay constant. The decay constant of radioactive KCl is 5.32 x 10<sup>-11</sup> per year. The half-life of radioactive KCl is a constant value that does not change over time or under different conditions. It is important to calculate the half-life of radioactive KCl for understanding its decay rate and potential risks, as well
  • #1
abrowaqas
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Homework Statement


2.71g sample of radioactive KCl is decaying at a constant rate of 400Bq into the isotope 40K. which constitutes 1.17% of normal K. calculate the half life of this nuclide.


Homework Equations


we have dn/dt = n * lamda and t-1/2 = 0.693/lamda.


The Attempt at a Solution



how i put the value of N... which is not clear in question
 
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  • #2
You have a differential equation, so you need to find your boundary conditions
 

Related to Calculating Half-Life of Radioactive KCl

1. What is the half-life of radioactive KCl?

The half-life of radioactive KCl is approximately 1.3 billion years.

2. How is the half-life of radioactive KCl calculated?

The half-life of radioactive KCl can be calculated using the formula t1/2 = ln(2)/λ, where t1/2 is the half-life, ln(2) is the natural logarithm of 2, and λ is the decay constant.

3. What is the decay constant of radioactive KCl?

The decay constant of radioactive KCl is 5.32 x 10-11 per year.

4. Can the half-life of radioactive KCl change?

No, the half-life of radioactive KCl is a constant value that does not change over time or under different conditions.

5. Why is it important to calculate the half-life of radioactive KCl?

Calculating the half-life of radioactive KCl is important for understanding the rate at which it decays and the potential risks associated with its use in various applications, such as in nuclear power plants or medical treatments. It also helps in determining the appropriate handling and disposal methods for radioactive KCl.

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