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trobbie817
02.03.2020 •
Chemistry
Nuclear decay is a first-order kinetics process. What is the half-life of a radioactive isotope if it takes 233 minutes for the concentration of the isotope to drop from 0.500 M to 0.0125 M? Give your answer in minutes.
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Ответ:
The half life of the given radioactive isotope is 43.86 minutes
Explanation:
Rate law expression for first order kinetics is given by the equation:
where,
k = rate constant = ?
t = time taken for decay process = 233 minutes
[A] = amount left after decay process = 0.0125 M
Putting values in above equation, we get:
The equation used to calculate half life for first order kinetics:
where,
k = rate constant =![0.0158min^{-1}](/tpl/images/0530/8019/56876.png)
Putting values in above equation, we get:
Hence, the half life of the given radioactive isotope is 43.86 minutes
Ответ: