A 32.65-g sample of a solid is placed in a flask. Toluene, in which the solid is insoluble, is added to the fla sk so that the total volume of solid and liquid together is 50.00 mL. The solid and toluene together weigh 58.58 g. The density of toluene at the temperature of the experiment is 0.864 g / mL. What is the density of the solid?

Density of the solid is 1.63g/mL

Explanation:

Hello,

Data;

Mass of solid = 32.65g

Mass of toluene = ?

Mass of solid + toluene = 58.58g

Density of toluene = 0.864g/mL

Mass of toluene = (mass of solid + toluene) - mass of solid

Mass of toluene = 58.58 - 32.65

Mass of toluene = 25.93g

But density = mass / volume

Density of toluene = mass of toluene / volume of toluene

Volume of toluene = mass of toluene / density of toluene

Volume of toluene = 25.93 / 0.864

Volume of toluene = 30.01mL

Volume of solid = total volume of the mixture (solid + toluene) - volume of toluene

Volume of solid = 50 - 30.01

Volume of solid = 19.99mL

Density of the solid = mass of solid / volume of solid

Density of the solid = 32.65 / 19.99

Density of the solid = 1.63g/mL

Therefore the density of the solid is 1.63g/mL