The weight of cholesterol is 0.6 g.
Here use the concept of molarity.
The amount of a substance in a specific volume of solution is known as its molarity (M). The moles of a solute per liter of a solution is known as molarity.
Molarity = no. of moles/volume (in L)
Given,
Molarity, M = 5.0 mM = 5 × 10⁻³ M
Volume, V = 315 mL = 315 × 10⁻³ L
To calculate,
Weight of cholesterol =?
We know that,
Molecular mass of cholesterol, C₂₇H₄₆O = 386
No. of moles = weight/ molecular mass
The formula is modified as,
Molarity = weight of cholesterol/ (molecular mass) (Volume)
Put the values in the formula,
5 × 10⁻³ = weight of cholesterol/ (386) (315 × 10⁻³)
Weight of cholesterol = 5 × 10⁻³ (386) (315 × 10⁻³)
= 0.6 g
Hence, the weight of cholesterol is 0.6 g.
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