125I decays via electron capture to form 125Te and is often
125I decays via electron capture to form 125Te and is often used for treatment of prostate cancer. It has a half-life of 59 days.
A) How many half-lives have transpired after 400. days?
B) How much on an initial 75 µCi sample would remain after 400. days?
Solution
A)
Half- life period = t1/2 = 59 days
total life period = 400 days
number of half lives = total life period/half life period
number of half lives = 400/59 = 6.78
B)
Initial amount = N0 = 75 micro Ci
Half- life period = t1/2 = 59 days
total life period = 400 days
number of half lives = total life period/half life period
number of half lives = 400/59 = 6.78
n= 6.78
Remainig amount= N= N0/2^n
N= 75/2^6.78 =75/ 109.90 = 0.68
Remaining amount = 0.68 micro Ci.
