Calculating Half-Life of Radioactive KCl

AI Thread Summary
To calculate the half-life of radioactive KCl, a 2.71g sample decaying at a rate of 400Bq into isotope 40K, which is 1.17% of normal K, is analyzed. The relevant equations include dn/dt = n * lambda and t-1/2 = 0.693/lambda. The challenge lies in determining the initial quantity (N) for the calculations. Boundary conditions must be established to solve the differential equation effectively. Understanding these parameters is crucial for accurately calculating the half-life of the nuclide.
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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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You have a differential equation, so you need to find your boundary conditions
 

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