A solution with a final volume of 750.0 mL was prepared by dissolving 30.00 mL of benzene (C₆H₆, density = 0.8787 g/mL) in dichloromethane. Calculate the molarity of benzene in the solution.

• A. 0.4500 M
• B. 0.035 M
• C. 0.35 M
• D. 0.71 M
• E. 0.091 M

Answer: (A)

Verified step by step guidance

1. Determine the mass of benzene (C₆H₆) using its volume and density. Use the formula: mass = volume × density. Here, the volume of benzene is 30.00 mL, and the density is 0.8787 g/mL.
2. Convert the mass of benzene to moles using its molar mass. The molar mass of benzene (C₆H₆) can be calculated as: (6 × atomic mass of C) + (6 × atomic mass of H). Use the formula: moles = mass / molar mass.
3. Calculate the molarity of benzene in the solution. Molarity (M) is defined as moles of solute divided by the volume of solution in liters. Use the formula: M = moles of benzene / volume of solution (in liters).
4. Convert the final volume of the solution from mL to liters. Since 1 L = 1000 mL, divide the given volume (750.0 mL) by 1000.
5. Substitute the values for moles of benzene and the volume of the solution (in liters) into the molarity formula to find the molarity of benzene in the solution.