Question

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?

Answer 1

Answer: 9990

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

Answer 2

Time taken = 9987.38 years

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* t)\\\\-1.0986=-0.00011* t\\\\t=9987.38years`

Time taken = 9987.38 years