Question

A graduated cylinder has 65 mL of water at 25 oC. When 45.0 g of an unknow solid is dropped into the graduated cylinder, the liquid surface reaches a volume of 75.8 mL. What is the density of the unknown solid

Answer 1

4.17 g/mL

Step-by-step explanation:

In order to determine the density of the solid, we need to know both its mass and its volume.

The mass is already given to us by the problem, 45.0 g.

As for the volume, we can determine it by using Archimedes' principle. It states that the volume of water displaced by an object when submerged is equal to the object's volume.

• Water displaced = 75.8 mL - 65 mL = 10.8 mL

Finally we calculate the density of the solid:

• Density = mass / volume = 45.0 g / 10.8 mL

• Density = 4.17 g/mL