An aqueous solution is prepared by diluting 3.30 mL acetone (d = 0.789 g/mL) with water to a final volume of 75.0 mL. The density of solution is 0.993 g/mL . What are the molarity and molality of acetone in this solution?

Dear student,

mass of acetone: (3.30 mL) (0.789 g/mL) = 2.6037 g 

moles of acetone: 2.6037 g / 58.0794 g/mol = 0.04483 mol 

mass of solution: (75.0 mL) (0.993 g/mL) = 74.475 g 

mass of water in the solution: 74.475 g - 2.6037 g = 71.8713 g 

moles of water: 71.8713 g / 18.015 g/mol = 

Molarity: 

0.04483 mol / 0.0750 L = 0.598 M 

Molality: 

0.04483 mol / 0.0718713 kg = 0.624 m 

Regards

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