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Serjik [45]
3 years ago
13

Iron-59 has a half-life of 45.1 days. how old is an iron nail if the fe-59 content is 25% that of a new sample of iron? show all

calculations leading to a solution.

Chemistry
2 answers:
Yuliya22 [10]3 years ago
4 0
I have attached a paper with the answer. hope you understand. let me know if you have any question

Rasek [7]3 years ago
4 0

Answer: 90.2 days

Explanation:-

Radioactive decay follows first order kinetics.

Half-life of Iron-59 = 45.1 days

\lambda =\frac{0.693}{t_{\frac{1}{2}}}=\frac{0.693}{45.1}= 0.0153 days^{-1}

N=N_o\times e^{-\lambda t}

N = amount left after time t= \frac{25}{100}\times a=0.25a

N_0 = initial amount  = a

\lambda = rate constant= 0.015 days^{-1}

t= time  = ?

0.25a=a\times e^{- 0.0153 years^{-1}\times t days}

t=90.2days

Thus the iron sample is 90.2 years old.

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