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Q(t)=Qoe^-kt May be used to model radioactive decay. Q representing the quantity remaining after t years, k is the decay constant 0.00011. what is the half-life in years?

Respuesta :

Answer:

Step-by-step explanation:

Given that a substance decays exponentially at the rate of k times the population present.

k = 0.00011

Q0 is the initial population, and Q(t) is the population at time t.

Relationship is given by

[tex]Q(t) = Q_{0} e^{-kt} =Q_{0} e^{-0.00011t}[/tex]

Let after t years there is half life

Then 1/2 =[tex]e^{-0.00011t}[/tex]

Take log

t = -ln2 /(-0.00011) = 6301.34 years

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