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 the solid together is 58.80 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.

2.16g/mL is the density of the solid

Explanation:

Density of the solid is defined as the mass that it occupies in a determined volume.

The mass of the solid is 25.00g. To find density we need to find the volume that this solid occupies.

Based on Archimedes' principle, we can say:

50.0mL = Volume Solid + Volume Benzene.

To solve the volume of benzene we need to find its mass and use its density as follows:

Mass benzene:

58.80g = Mass Benzene + Mass solid = Mass Benzene + 25.00g

Mass Benzene = 33.80g

Volume Benzene:

33.80g * (1mL / 0.880g) = 38.4mL

That means volume Solid:

50.0mL - 38.4mL = 11.6mL

The density is:

25.00g / 11.6mL = 2.16g/mL is the density of the solid

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