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

`1000 ml` of blood plasma was “cleared”

Step-by-step 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
`= (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 -

`= (10 * 10^(-3)g)/(10*10^(-6)(g)/(ml) ) \\= 1000 ml`

`1000 ml` of blood plasma was “cleared”