Question

Twenty milligrams of drug Y is injected intravenously. One hour after the injection, blood is collected and assayed for the concentration of drug Y. If the concentration of drug Y in this specimen was 0.4 mg/L, what is the volume of the distribution for this drug?

Answer 1

The volume of the distribution for this drug is 50 L

Explanation:

Data provided in the question;

Amount of Drug Y injected = 20 milligrams

Concentration of drug Y = 0.4 mg/L

Now,

The concentration is given as:

concentration =
`\frac{\textup{Mass of the solute}}{\textup{Volume of solution}}`

Thus,

0.4 mg/L =
`\frac{\textup{20 mg}}{\textup{Volume of solution}}`

or

Volume of solution =
`(20)/(0.4)`

or

Volume of solution = 50 L

Hence,

The volume of the distribution for this drug is 50 L