A 25.00-g sample of a solid is placed in a graduated cylinder, and then the cylinder is filled to the 50.0-mL mark with benzene. The mass of benzene and solid together is 63.29 g. Assuming that the solid is insoluble in benzene and that the density of benzene is 0.880 g/cm^3, calculate the density of the solid.

solid density = 3.85 g/mL

Explanation:

First we calculate the mass of the benzene:

benzene mass = 63.29 - 25 = 38.29 g

We know that density = mass / volume

So the volume of benzene will be:

volume = mass / density

volume = 38.29 / 0.880 = 43.51 cm³ = 43.51 mL of benzene (1 cm³ = 1 mL)

Now the volume of the sample will be:

sample volume = 50 - 43.51 = 6.49 mL

Now we can calculate the density of the solid:

density = mass / volume

solid density = 25 / 6.49 = 3.85 g/mL