Answered

plutonium-240 decays according to the parent function

Q(t)=Q0e^-kt

where Q represents the quantity remaining after t years and k is the decay constant,0.00011...how long will it take 27 grams of plutonium-240 to decay to 9 grams?

Verified Answer :

Blacklash

Answer:

Time taken = 9987.38 years

Step-by-step explanation:

We have plutonium-240 decays according to the parent function

       \(Q(t)=Q_oe^{-kt}\)

k is the decay constant,0.00011

k = 0.00011

We need to find how long will it take 27 grams of plutonium-240 to decay to 9 grams.

Q(t) = 9 g

Q₀ = 27 g

Substituting

             \(Q=Q_oe^{-kt}\\\\9=27e^{-0.00011\times t}\\\\-1.0986=-0.00011\times t\\\\t=9987.38years\)

Time taken = 9987.38 years

zebrowley

Answer: 9990

Step-by-step explanation: That's the answer on the quiz

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