The molar mass of CH3OH is 32.04 g/mol. To calculate the moles of CH3OH, we will divide the given mass by the molar mass.

Moles of CH3OH = 36.8 g / 32.04 g/mol = 1.15 mol

To make a 0.500 M solution, we will use the formula:

Moles of solute = Molarity × Volume of solution (in liters)

Volume of solution = Moles of solute / Molarity

Substituting the values we have:

Volume of solution = 1.15 mol / 0.500 M = 2.30 L

Therefore, we need to add 2.30 L - 0.368 L = 1.93 L of solvent to 36.8 g CH3OH to produce a 0.500 M solution.