The recommended dosage of iodine-131 is 21 Ci/5 kg of body mass. How many microcuries of iodine-131 are needed for a 75.0-kg person with hyperthyroidism?

Answer 1

To find the number of microcuries required, we need to convert 21 Ci to microcuries and multiply it by the person's body mass.

1 Ci = 1,000,000 microcuries.

So, 21 Ci = 21 * 1,000,000 = 21,000,000 microcuries.

Now, we can calculate the number of microcuries needed for a 75.0-kg person:

Number of microcuries = (21,000,000 microcuries / 5 kg) * 75.0 kg
Number of microcuries = 4,200,000 microcuries/kg * 75.0 kg
Number of microcuries = 315,000,000 microcuries

Therefore, a 75.0-kg person would require 315,000,000 microcuries of iodine-131.