Question

Plutonium-240 decays according to the parent function

Answer 1

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