Question

A radioactive isotope with an intensity (activity) of 100 mCi per vial is delivered to a hospital. The vial contains 13 ml of liquid. The instruction is to administer 2.5 mCi intravenously. What is the concentration of the isotope in the vial?

a) 7.69 mCi/ml
b) 15.38 mCi/ml
c) 2.5 mCi/ml
d) 100 mCi/ml

Answer 1

To calculate the concentration of a radioactive isotope in a vial, divide the total activity by the volume of liquid. In this case, the concentration is 7.69 mCi/ml.

Step-by-step explanation:

The question asks us to calculate the concentration of a radioactive isotope in a vial. The vial contains 13 ml of liquid with a total activity of 100 mCi. To find the concentration in mCi/ml, we divide the total activity by the volume of liquid in the vial. So, the concentration is calculated as:

Concentration (mCi/ml) = Total activity (mCi) ÷ Volume (ml)

Concentration (mCi/ml) = 100 mCi ÷ 13 ml

Concentration (mCi/ml) = 7.69 mCi/ml

Therefore, the correct answer is option a) 7.69 mCi/ml. This means that each milliliter of the solution has 7.69 millicuries of the isotope.