Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The half-life of 131I is 8.04 days. (a) Convert the half-life to seconds. Your a

ID: 1746070 • Letter: T

Question

The half-life of 131I is 8.04 days. (a) Convert the half-life to seconds. Your answer is correct. 131I nuclei (e) Suppose the activity of a certain 131I sample is6.90 mCi at a given time. Find the numberof half-lives the sample goes through in 40.2 d and the activity atthe end of that period. half-lives mCi Your answer is correct. Bq (d) Find the number of 131I nuclei necessaryto produce a sample with an activity of 0.46 mu Ci. Your answer is correct. s-1 (c) Convert 0.46 mu Ci to the SI unitthe becquerel. Your answer is correct. s (b) Calculate the decay constant for this isotope.

Explanation / Answer

No.of half lives n = 40.2 days / half life                           = 40.2 days / 8.04 days                           = 5 Initial activity A = 6.9 m Ci So, activity after time t is A ' = A e-t where = decay constant = 0.693 / T                                         = 0.08619 d -1 So,A ' = 0.215 m Ci So,A ' = 0.215 m Ci