Question

If a person’s blood cortisol concentration is 10 µg/mL, and 10 mg of cortisol can be excreted from the body in a 24-hour period, what volume of blood plasma in mL was “cleared” during this amount of time?

Answer 1

Answer:

$1000 ml$ of blood plasma was “cleared”

Explanation:

Given,

Concentration of a person’s blood cortisol $= 10$µg/mL

The amount of cortisol excreted from the body in a period of 24 hour $= 10$mg

The volume of blood plasma cleared during this time period is equal to

amount of cortisol excreted from the body divided by Concentration of a person’s blood cortisol

The above definition could be represented as following-

volume of blood plasma cleared  $= \frac{A}{B}$

Where A represents amount of cortisol excreted from the body

while B represents the concentration of a person’s blood cortisol

Substituting the given values in above equation, we get -

$= \frac{10 * 10^{-3}g}{10*10^{-6}\frac{g}{ml} } \\= 1000 ml$

$1000 ml$ of blood plasma was “cleared”