It can be shown that a 1.0-mg sample of 232 Th decays at the rate of 4.1 a emissions per second. Set up a mathematical equation for the rate of AN =-kN, where N is the number of nuclei in the 1.0-mg sample and - is 4.1 dps. Solve this equation for the rate constant for At AN decay, At this process. k= Then calculate its half-life.

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Chapter1: Chemical Foundations
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years,
You might wonder how it is possible to determine the half-life of long-lived radioactive isotopes, such as 232 Th. With a half-life of more than 10¹0.
the radioactivity of a sample of thorium will not measurably change in your lifetime. In fact, you can calculate the half-life using the mathematics
governing first-order reactions.
AN
It can be shown that a 1.0-mg sample of 232 Th decays at the rate of 4.1 a emissions per second. Set up a mathematical equation for the rate of
AN
kN, where N is the number of nuclei in the 1.0-mg sample and - is 4.1 dps. Solve this equation for the rate constant for
decay,
this process.
At
At
k =
-1
Then calculate its
half-life.
Transcribed Image Text:years, You might wonder how it is possible to determine the half-life of long-lived radioactive isotopes, such as 232 Th. With a half-life of more than 10¹0. the radioactivity of a sample of thorium will not measurably change in your lifetime. In fact, you can calculate the half-life using the mathematics governing first-order reactions. AN It can be shown that a 1.0-mg sample of 232 Th decays at the rate of 4.1 a emissions per second. Set up a mathematical equation for the rate of AN kN, where N is the number of nuclei in the 1.0-mg sample and - is 4.1 dps. Solve this equation for the rate constant for decay, this process. At At k = -1 Then calculate its half-life.
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