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How long will it take for half of Bismuth-214 to decay to lead? (Refer to the Uranium-238 decay chain series.)
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Yeah, tough. You should be able to see that Bi-214 doesn't decay directly to lead, but instead has 20 minute half-life to Po-214. So, how long does it take half the Bi to become Po? next, the Po-214 does alpha decay almost immediately (1/6 millisec) after it becomes Po.
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