Final answer:
To calculate the volume of a 0.750 M ethanol solution made with 25.0 g of ethanol, first determine the number of moles of ethanol and then divide by the molarity to get the volume in liters, which is 723 mL in this case.
Step-by-step explanation:
The student is asking how to calculate the volume of a solution when 25.0 g of ethanol (C₂H₅OH) is used to make a 0.750 M ethanol solution. First, we need to find the number of moles of ethanol, by dividing the mass of ethanol by its molar mass (46.07 g/mol for C₂H₅OH). Then, we use the formula Molarity (M) = moles of solute / volume of solution in liters (L) to find the volume of the solution.
Number of moles of ethanol = 25.0 g / 46.07 g/mol = 0.542 moles.
Volume of solution (L) = moles of solute / Molarity (M) = 0.542 moles / 0.750 M = 0.723 L or 723 mL.
So, the volume of the solution prepared is 723 mL.