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Salsk061 [2.6K]
4 years ago
10

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?
Mathematics
2 answers:
Naddika [18.5K]4 years ago
7 0
It will take <span>1,657.4 years.</span>
Serggg [28]4 years ago
3 0

Answer:

1657.47 years

Step-by-step explanation:

Let's find the answer by using the decay formula:

Q=q*e^{-kt} where:

Q=quantity remaining after 't' years

q=initial amount

k=decay constant

t=time in years

Using the information provided by the problem we have:

20=24*e^{-0.00011t}

ln(20/24)/(-0.00011)=t

1657.47=t

In conclusion, it will take 1657.47 years.

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