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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.
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
from foremost appoint decadence equation we accept,
=> 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.