Textbook Question
If a radiation source has an intensity of 650 rem at 1.0 m, what distance is needed to decrease the intensity of exposure to below 25 rem, the level at which no effects are detectable?
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17. Radioactivity and Nuclear Chemistry
Measuring Radioactivity
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A solution of iodine-131, a radioisotope used in the diagnosis and treatment of thyroid disease, is found just prior to administration to have an activity of 1.08 x 106 Bq/mL. If 2.57 mL were delivered intravenously to the patient, what dose of I-131 ( in µCi) did the patient receive?
A
7.50×10–5 µCi
B
75.0 µCi
C
29.2 µCi
D
0.075 µCi
E
0.029 µCi
Verified step by step guidance1
Understand the problem: We need to convert the activity of iodine-131 from Bq/mL to µCi and then calculate the total dose delivered to the patient in µCi.
Start by converting the activity from Bq to µCi. Use the conversion factor: 1 µCi = 3.7 x 10^4 Bq.
Calculate the activity in µCi/mL by dividing the given activity in Bq/mL by the conversion factor: (1.08 x 10^6 Bq/mL) / (3.7 x 10^4 Bq/µCi).
Determine the total dose delivered by multiplying the activity in µCi/mL by the volume delivered: (activity in µCi/mL) x (2.57 mL).
Ensure the units are consistent and the calculation is correct to find the dose in µCi.
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