Answered

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imagine there is a radioactive isotope that has a half-life of 500 years. a sample contains 50% parent and 50% progeny atoms. how old is this sample?

Sagot :

We know that radioactive reactions are first order reaction

For a first order reaction in CHEMICAL KINETICS

Rate Constant = 0.693/(Half Life)

we know that,

Half Life = 500 years

K = 0.693/500

K = 0.001386

For first order,

ln[A] = -Kt + ln[A*]

[A] = concentration of A after time, t

[A*] = initial concentration of A at time, t=0

Kt = 2.303 log {[A*]/[A]}

At half life [A] = [A*]/2

Kt = 2.303 log (2)

(0.001386)t = 2.303 × 0.3010

t = (2.303)(0.3010)/(0.001386)

t = 500.146 years

To know more about Chemical Kinetics:

brainly.com/question/24377318

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