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.

    Expert Answer

    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 kinetics is followed by whole radio decadence.

    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.