describe how you would prepare 500 mL 0.250 M ethylene glycol (MW=62.07) from concentrated 31% (w/w) solution that has a density of 1.0350 g/mL

See you post above.

To prepare a 0.250 M ethylene glycol solution with a volume of 500 mL, we will first need to calculate the amount of ethylene glycol required.

1. Calculate the concentration in moles per liter (Molarity):
0.250 M = 0.250 moles / 1 liter

2. Calculate the number of moles required for 500 mL:
Moles = Molarity x Volume
Moles = 0.250 moles/L x 0.500 L
Moles = 0.125 moles

3. Convert the moles of ethylene glycol to grams using its molar mass:
Mass = Moles x Molar Mass
Mass = 0.125 moles x 62.07 g/mole
Mass = 7.75875 grams

Now, we need to find the amount of concentrated solution needed to obtain 7.75875 grams of ethylene glycol.

4. Calculate the mass of concentrated solution required:
Mass of concentrated solution = Mass of ethylene glycol / (Density x %w/w)
Mass of concentrated solution = 7.75875 grams / (1.0350 g/mL x 31/100)
Mass of concentrated solution = 7.75875 grams / 0.32085
Mass of concentrated solution = 24.1688 grams

This means you need 24.1688 grams of the concentrated 31% (w/w) ethylene glycol solution.

To prepare the final solution:

5. Measure 24.1688 grams of the concentrated solution using a balance.

6. Add the measured concentrated solution to a volumetric flask.

7. Add distilled water to the volumetric flask until the total volume reaches 500 mL. Ensure thorough mixing to achieve a homogeneous solution.

By following these steps, you will be able to prepare a 500 mL 0.250 M ethylene glycol solution from the given concentrated solution.