High School

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A liquid solvent is added to a flask containing an insoluble solid. The total volume of the solid and liquid together is 84.0 mL. The liquid solvent has a mass of 35.9 g and a density of 0.865 g/mL. Determine the mass of the solid given its density is 2.50 g/mL.

Answer :

Final answer:

The mass of the solid can be determined by subtracting the mass of the liquid solvent from the total mass of the solid and liquid mixture. The volume of the liquid solvent can be calculated using its mass and density. The mass of the solid can then be calculated by multiplying its volume by its density.

Explanation:

The mass of the solid can be determined by subtracting the mass of the liquid solvent from the total mass of the solid and liquid mixture. The mass of the liquid solvent is given as 35.9 g, and the total volume of the solid and liquid mixture is given as 84.0 ml. The density of the liquid solvent is 0.865 g/ml. Using the formula density = mass/volume, we can calculate the volume of the liquid solvent as mass/density. Substituting in the values, the volume of the liquid solvent is 35.9 g / 0.865 g/ml = 41.56 ml.

To determine the mass of the solid, we subtract the volume of the liquid solvent from the total volume of the solid and liquid mixture. The volume of the solid can be calculated using the formula volume = mass/density. The density of the solid is given as 2.50 g/ml. Thus, the volume of the solid is 84.0 ml - 41.56 ml = 42.44 ml. Finally, we can calculate the mass of the solid by multiplying the volume of the solid by its density. The mass of the solid is 42.44 ml * 2.50 g/ml = 106.1 g.

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