Question

Cholesterol, C27H46O, is a waxy substance found naturally in the body. Under some
circumstances cholesterol can clog the arteries. Health Canada recommends that the total
cholesterol concentration does not exceed 5.2 x 10-3 mol/L. If you have about 4.7 L of blood,
what is the maximum mass of cholesterol that your blood should contain?

Answer 1

Solution.

$C=5.2\sdot10^{-3} mol/L;$

$M(C_{27}H_{46}O)=386.65g/mol;$

$V=4.7L;$

$m-?;$

$\nu=\dfrac{m}{M};\implies m=\nu\sdot M;$

The molar concentration is calculated as follows:

$С=\dfrac{\nu}{V} \implies$ $\nu=C\sdot V;$

$\nu = 5.2\sdot10^{-3}mol/L\sdot4.7L=24.44\sdot10^{-3}mol;$

$m=24.44\sdot10^{-3}mol\sdot386.65g/mol=9.45g;$

Answer: $m=9.45g.$