The recommended dosage of iodine-131 is 4.20 \mu {\rm Ci}/{\rm kg} of body mass. How many microcuries of iodine-131 are needed for a 58.0kg patient with hyperthyroidism?

To find the number of microcuries of iodine-131 needed for a 58.0 kg patient with hyperthyroidism, we'll use the recommended dosage of 4.20 μCi/kg of body mass.

The calculation can be done in the following steps:

Step 1: Multiply the patient's body mass by the recommended dosage:

58.0 kg × 4.20 μCi/kg = 243.6 μCi

Therefore, a total of 243.6 μCi of iodine-131 is needed for a 58.0 kg patient with hyperthyroidism.