Plutonium-240 decays according to the function where Q represents the quantity remaining after t years and k is the decay consta
nt, 0.00011... How long will it take 24 grams of plutonium-240 to decay to 20 grams?
2 answers:
Note: a radioactive decay constant is always negative.
time = [natural log(ending amount / beginning amount)] / k
time = ln (20 / 24) / -.00011
time = ln (5/6) / -.00011
time = -.018232155683 / -.00011
time =
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165.7468698455
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time =
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165.75 years
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Answer:
<em>It will take approximately </em><em>1657.3 years.</em>
Step-by-step explanation:
The function that defines the exponential decay for this system is,

Q(t) = The amount after time t = 20
Q₀ = Initial amount = 24
k = Decay constant = 0.00011
t = time
Putting the values,









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