A radioactive isotope in a 9.0-mL vial has an intensity of 300 mCi. How much of the liquid should be injected into a patient to deliver a dose of 50 mCi?

Question

Quizplus · Accepted Answer

We can use the equation:

Dose administered (mCi) = Intensity (mCi/mL) x Volume (mL)

To solve for the volume, we can rearrange the equation:

Volume = Dose administered (mCi) / Intensity (mCi/mL)

Plugging in the given values:

Volume = 50 mCi / 300 mCi/mL = 0.1667 mL

However, we need to inject a volume in mL, not in fractions of a mL. To convert, we can set up a proportion:

0.1667 mL / 1 = x mL / 9.0 mL

Solving for x:

x = (0.1667 mL)(9.0 mL) = 1.5 mL

Therefore, the answer is Choice B.

A Radioactive Isotope in a 9