A patient's thyroid gland is to be exposed to an average of 5.5 µCi for 16 days as an ingested sample of iodine-131 decays. If the energy of the $\beta$radiation is 9.7 * 10¯¹⁴ J and the mass of the thyroid is 32.0 g, what is the dose received by the patient? A) 0.027 rads B) 1.2 rads C) 37 rads D) 85 rads E) None of these choices is correct.

Question

Quizplus · Accepted Answer

First, we need to calculate the total activity of the iodine-131 in the thyroid gland:
activity = 5.5 µCi × 16 days = 88 µCi

Next, we need to convert the activity to units of becquerels (Bq):
1 µCi = 37,000 Bq
88 µCi = 88 × 37,000 Bq = 3.256 × 10^6 Bq

Now, we can use the formula for calculating dose:

dose = (energy of radiation) × (activity) × (time) ÷ (mass of tissue)
dose = (9.7 × 10^-10 J) × (3.256 × 10^6 Bq) × (16 days × 24 hours/day × 60 min/hour × 60 s/min) ÷ (32.0 g)
dose = 85 rads

Therefore, the answer is D, 85 rads.

A Patient's Thyroid Gland Is to Be Exposed to an Average