The half-life of the radioactive isotope of iron is 2.9 years. How long will it take for the number
| September 5, 2021 | education
The half-life of the radioactive isotope of iron is 2.9 years. How long will it take for the number of non-decayed atoms to decrease by a factor of four?
The half-life of the radioactive isotope of iron is 2.9 years, knowing this, we find in how many years the number of non-decayed atoms will decrease by 4 times, that is, it will be equal to 25% of the initial amount.
After a first half-life of 2.9 years, 50% of the iron isotopes will decay.
After a second half-life of 2.9 years, 25% of the iron isotopes have decayed.
75% of iron isotopes decayed in 2 half-lives or 5.8 years, that is, 25% remained.
Answer: 5.8 years.
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