A radium source contains 1.00 mg of 226Ra, which decays with a half-life of 1600 y to produce 222Rn, a noble gas. This radon isotope in turn decays by alpha emission with a half-life of 3.82 d. If this process continues for a time much longer than the half-life of 222Rn, the 222Rn decay rate reaches a limiting value that matches the rate at which 222Rn is being produced, which is approximately constant because of the relatively long half-life of 226Ra. For the source under this limiting condition, what are (a) the activity of 226Ra, (b) the activity of 222Rn, and (c) the total mass of 222Rn?

Modern Physics
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ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter13: Nuclear Structure
Section: Chapter Questions
Problem 32P
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A radium source contains 1.00 mg of 226Ra, which decays with
a half-life of 1600 y to produce 222Rn, a noble gas. This radon isotope
in turn decays by alpha emission with a half-life of 3.82 d. If
this process continues for a time much longer than the half-life of
222Rn, the 222Rn decay rate reaches a limiting value that matches
the rate at which 222Rn is being produced, which is approximately
constant because of the relatively long half-life of 226Ra. For the
source under this limiting condition, what are (a) the activity of
226Ra, (b) the activity of 222Rn, and (c) the total mass of 222Rn?

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