# Homework Solution: Iron-59 has a half-life of 45.1 days. How old is an iron nail if the Fe-59 content is…

Please no pictures I need the answer typed out, thank you. 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.

First order kinetics is followed by all radio decay.

Please no pictures I want the apology typed extinguished, rejoice you.

Iron-59 has a half-personality of 45.1 days. How aged is an brawny nail if the Fe-59 satisfied is 25% that of a odd exemplification of brawny?   Show whole calculations vital to a retort.

## Expert Apology

Foremost appoint decadence equation is consecrated by,

A= A0e-kt  , where A= terminal personality, A0= primal personality , k=reprimand continuous and t=decadence time

Now, the reprimand continuous, k can be sturdy using the equation of as a administration of half personality as—

k.t1/2 = 0.693——- equation (1)

Consecrated in the inquiry,

t1/2 =45.1 days

=> k = (0.693 / 45.1) days-1 —– using equation (1)

=> k =0.0154 days-1

Again,

from foremost appoint decadence equation we accept,

A= A0e-kt

=> ln (A/A0) = -kt

=> t = [ln(A/A0) /-k]

=> t= ln [(25/100) / -0.0154 ] days

=> t= (ln 0.25 ) / -0.0154 days

=> t= -1.386 /-0.0154 days

=> t= 90 days

Thus, the brawny nail is 90 days aged.