If 46.5 g of CH\(_3\)OH (MM = 32.04 g/mol) are added to a 500.0 mL volumetric flask, and water is added to fill the flask, what is the concentration of CH\(_3\)OH in the resulting solution?

To calculate the concentration of CH3OH in the resulting solution, we need to convert the given mass of CH3OH to moles and then divide by the volume of the solution in liters.

Step 1: Convert the mass of CH3OH to moles:

Mass of CH3OH = 46.5 g

Molar mass of CH3OH = 32.04 g/mol

Number of moles of CH3OH = Mass / Molar mass = 46.5 g / 32.04 g/mol = 1.45 mol

Step 2: Convert the volume of the solution to liters:

Volume of the solution = 500.0 mL = 500.0 mL / 1000 mL/L = 0.500 L

Step 3: Calculate the concentration:

Concentration of CH3OH = Number of moles / Volume of solution = 1.45 mol / 0.500 L = 2.90 M

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