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Multiple Choice
What is the molarity of methanol in the solution prepared by dissolving 20.2 mL of methanol in 100.0 mL of water, given the final volume is 118 mL and the density of methanol is 0.782 g/mL?
A
0.156 M
B
0.178 M
C
0.134 M
D
0.200 M
Verified step by step guidance
1
Calculate the mass of methanol using its volume and density. Use the formula: mass = volume × density. Here, the volume of methanol is 20.2 mL and the density is 0.782 g/mL.
Convert the mass of methanol to moles. Use the molar mass of methanol (CH₃OH), which is approximately 32.04 g/mol. Use the formula: moles = mass / molar mass.
Determine the total volume of the solution in liters. The final volume of the solution is given as 118 mL. Convert this volume to liters by dividing by 1000.
Calculate the molarity of the methanol solution. Molarity (M) is defined as the number of moles of solute (methanol) divided by the volume of the solution in liters. Use the formula: Molarity = moles of solute / liters of solution.
Review the calculation steps to ensure all units are consistent and the calculations are correct. This will help verify the accuracy of the molarity obtained.