A liquid solvent is added to a flask containing an insoluble solid. The total volume of the solid and liquid together is 87.0 mL. The liquid solvent has a mass of 49.7 g and a density of 0.865 g/mL. Determine the mass of the solid given its density is 2.75 g/mL.

The mass of solid is 81.24 grams

Explanation:

We are given:

Volume of solid and liquid together = 87.0 mL

To calculate density of a substance, we use the equation:

     ......(1)

Density of liquid solvent = 0.865 g/mL

Mass of liquid solvent = 49.7 g

Putting values in equation 1, we get:

Density of solid = 2.75 g/mL

Volume of solid = [87.0 - 57.46] mL = 29.54 mL

Putting values in equation 1, we get:

Hence, the mass of solid is 81.24 grams