A 5 g sample of a radioactive element takes 102 days to reduce into 3 g. Calculate the half-life and identify the element.
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half-life and identify the element.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F440b7269-170b-4024-8d0e-4b8a2f594bf7%2Fac8d2750-53b7-4a60-926c-c1b13f72f506%2Fwjrl23r_processed.png&w=3840&q=75)
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- Radioactive decay takes place when an unstable nucleus becomes stable. The instability arises due to a mismatch between the number of neutrons and protons. Only a few configurations of neutrons and protons are stable.
- This decay will be exponential in nature and is given by,
Here N0 is the original number of radioactive nuclei present, t is the time, and t1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.
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