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.

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 tr

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