The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 90% of the lead to decay?

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Applications of Differential Equations
1. A certain radioactive material follows the law of exponential growth. If between noon and 2 pm
the population triples, at what time should the population become 100 times what it was at
noon?
2. The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at
time t and has a half – life of 3.3 hours. If 1 gram of this isotope is present initially, how long will
it take for 90% of the lead to decay?
Transcribed Image Text:Applications of Differential Equations 1. A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the population triples, at what time should the population become 100 times what it was at noon? 2. The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half – life of 3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 90% of the lead to decay?
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