29 SSM The uranium ore mined today contains only 0.72% of fissionable 235U, too little to make reactor fuel for thermal-neutron fission. For this reason, the mined ore must be enriched with 235U. Both 23U (Tu2 = 7.0 x 10° y) and 238U (T12 = 4.5 x 10° y) are ra- dioactive. How far back in time would natural uranium ore have been a practical reactor fuel, with a 23$U/23$U ratio of 3.0%?

Modern Physics
3rd Edition
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
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29 SSM The uranium ore mined today contains only 0.72% of
fissionable 235U, too little to make reactor fuel for thermal-neutron
fission. For this reason, the mined ore must be enriched with 235U.
Both 23U (Tu2 = 7.0 x 10° y) and 238U (T12 = 4.5 x 10° y) are ra-
dioactive. How far back in time would natural uranium ore have
been a practical reactor fuel, with a 23$U/23$U ratio of 3.0%?
Transcribed Image Text:29 SSM The uranium ore mined today contains only 0.72% of fissionable 235U, too little to make reactor fuel for thermal-neutron fission. For this reason, the mined ore must be enriched with 235U. Both 23U (Tu2 = 7.0 x 10° y) and 238U (T12 = 4.5 x 10° y) are ra- dioactive. How far back in time would natural uranium ore have been a practical reactor fuel, with a 23$U/23$U ratio of 3.0%?
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Step 1

The exponential decay expression can be,

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Step 2

 Thus, the t will be,

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