A standard solution is prepared for the analysis of fluoxymesterone (C20H29FO3), an anabolic steroid. A stock solution is first prepared by dissolving 13.4 mg of fluoxymesterone in enough water to give a total volume of 500.0 mL. A 100.0-µL 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.

mols = grams/molar mass

M = mols/L soln = mols/0.5L = ?
Call that M
Then the dilution step is
M x (1E-3 mL/100 mL) = ?

To calculate the concentration of the final solution in terms of molarity, you first need to calculate the amount of fluoxymesterone in the 100.0 µL aliquot. Then you can use this value to determine the concentration in moles per liter (molarity).

Step 1: Calculate the amount of fluoxymesterone in the 100.0 µL aliquot.
The stock solution contains 13.4 mg of fluoxymesterone in a total volume of 500.0 mL. To determine the concentration in the aliquot, you need to find out how much fluoxymesterone is present in the 100.0 µL portion.

Since the stock solution has a known concentration, you can use a proportion to find the amount in the aliquot:

(13.4 mg / 500.0 mL) = (X mg / 100.0 µL)

Solving for X, the amount of fluoxymesterone in the 100.0 µL:

X = (13.4 mg / 500.0 mL) * 100.0 µL

X = 2.68 mg

Therefore, the amount of fluoxymesterone in the 100.0 µL aliquot is 2.68 mg.

Step 2: Calculate the concentration in moles per liter (molarity).
Now that you know the amount of fluoxymesterone in the 100.0 µL aliquot, you can convert it to moles and determine the molarity.

First, convert the amount of fluoxymesterone to moles using its molar mass. The molar mass of fluoxymesterone (C20H29FO3) can be calculated by summing the individual atomic masses:

(20 * atomic mass of C) + (29 * atomic mass of H) + (atomic mass of F) + (3 * atomic mass of O)

Then, determine the molarity by dividing the moles by the final volume in liters:

Molarity (M) = moles / volume (in liters)

Follow these steps to calculate the molarity:

1. Calculate the molar mass of fluoxymesterone.
2. Convert the amount of fluoxymesterone in the 100.0 µL aliquot from mg to grams.
3. Convert the amount of fluoxymesterone from grams to moles.
4. Calculate the molarity by dividing the moles by the final volume in liters (100.0 mL = 0.1 L).

Please provide the values for the atomic masses of C, H, F, and O, and I can help you with the calculations.