# 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 58.80 g. Assuming that the solid is insoluble in benzene and that the density of benzene is 0.880 g/cm3, calculate the density of the solid.

asked by @saraf23 • 11 months ago • Chemistry • 5 pts

Hey Sara! Here we are looking for density of the solid.

density solid = mass/volume

density of solid = grams/mL

What we know is how many grams of solid we have, all we need to find out is how many mL of solid we have. To do that we will first need to find out how many mL of benzene was added. And we can do that easily because be know the total volume in mL of the contents of the cylinder, and we have the density of benzene and the total grams of both the solid and benzene together.

First:

58.80 g - 25 g = 33.80 g of benzene.

33.80 g benzene x ( 1mL/ 0.880 g benzene) = 38.41 mL of benzene.

Second:

50mL total - 38.41 mL benzene = 11.59 mL solid.

Lastly:

Now we have everything we need to find the density of the solid.

density of solid = 25 grams / 11.59 mL

density of solid = 2.15 g/mL