SOLUTION: 150 grams of plutonium-239 are produced. How many grams would remain after one million years. The half life of plutonium-239 is 24,400 years.

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Question 1011108: 150 grams of plutonium-239 are produced. How many grams would remain after one million years. The half life of plutonium-239 is 24,400 years.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y=pe%5E%28-kt%29
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ln%28pe%5E%28-kt%29%29=ln%28y%29
ln%28p%29%2B%28-kt%29ln%28e%29=ln%28y%29
-kt%2Aln%28e%29=ln%28y%29-ln%28p%29
kt%2A1=ln%28p%29-ln%28y%29
k=%281%2Ft%29ln%28p%2Fy%29
Half Life gives you enough for the value of k.
k=ln%282%29%2F24400
k=2.841%2A10%5E%28-5%29


150 grams becomes after 1000000 years:
highlight%28y=150%2Ae%5E%28-0.00002841%2A10%5E6%29%29------compute this.