A standard solution is prepared for the analysis of fluoxymesterone (C20H29FO3), an anabolic steroid. A stock solution is first prepared by dissolving 10.0 mg of fluoxymesterone in enough water to give a total volume of 500.0 mL. A 10.0-mL aliquot (portion) of this solution is diluted to a final volume of 100.0 mL. Calculate the concentration of the final solution in terms of molarity. x 10 M

The final solution has a concentration of 5.95 * 10^-6 M

Explanation:

Step 1: data given

Mass of fluoxymesterone : 10mg = 0.01g

Molar mass of fluoxymesterone = 336g/mole

Volume = 500 mL = 0.5 L

Step 2: calculate Concentration of fluoxymesterone

Concentration = mole / volume

⇒ To find the concentration, we first need to find the number of moles

⇒moles fluoxymesterone = mass of fluoxymesterone / Molar mass

0.01g / (336g/mole) = 2.976 * 10^-5 mole

C = 2.976 * 10^-5 mole / 0.5 L = 5.95 * 10 ^-5 M

Step 3: Calculate dilution

⇒ If 10 mL is diluted to 100 ml then this is a 10x dilution (100 ml / 10 ml = 10) so the final solution will be 10 x more dilute.

⇒5.95 * 10^-5 M / 10 = 5.95 ^ * 10^-6 M

We can control this through the following formula: M1 * V1 = M2 * V2

5.95 * 10^-5 * 10 * 10 * ^-3 = M2 * 0.1 L

M2 = 5.95 * 10^-6 M