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 mathematicsgoverning first-order reactions.ANIt 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 ofANkN, 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 fordecay,this process.AtAtk =-1Then calculate itshalf-life.

Answered: Image /qna-images/answer/467b0235-f59d-442a-b1c2-a43df4614536.jpg

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.

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.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Concept explainers

Writing and Balancing Nuclear Equations

A nuclear equation is a symbolic representation of a nuclear reaction using certain symbols. It is studied in nuclear chemistry and nuclear physics.

Question

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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