Answer:- 7.59 mL.
Solution:- We want to make 500.0 mL of an aqueous solution of methanol whose density is
. This has to be made from a given pure liquid methanol with density
. It asks to calculate the volume of pure liquid methanol.
We know that, mass = volume*density
Let's calculate the mass of aqueous solution from it's given volume and density. need to convert volume unit from mL to L as the density is given in grams per liter:
mass of aqueous methanol solution = 
= 6 g
From above calculations, we need to use 6 g of pure liquid methanol. It's density is known, so we could calculate it's volume as:

Let's plug in the values in it:

= 7.59 mL
Hence, we need to take 7.59 mL of pure liquid methanol.