9). 99mTc eluate yielded 2.0 Ci at 6:30 am in a 20ml vial.
a. What is the concentration at 6:30pm? (Please use mCi)
b. What is the concentration at 10:00pm?
explain your answer
Solution:
Half life of 99mTc, t1/2 = 6 hours
Decay constant,
Initial activity, Ao = 0.5 Ci
Time between 6:30 am to 6:30 pm, t = 12 hr
Therefore, the activity after 12 hr
A = 0.125 Ci
Therefore, the concentration at 6:30 pm is
= (0.125 Ci)/20ml
= 0.00625 Ci/ml
= 6.25 mCi/ml
Part (b):
Total time from 6:30 am to 10:00 pm, t = 15.5 hr
Therefore, the activity after 12 hr
A = 0.083427 Ci
Therefore, the concentration at 6:30 pm is
= (0.083427 Ci)/20ml
= 0.0041714 Ci/ml
= 4.1714 mCi/ml
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