A student finds a rock on the way to school. In the laboratory he determined the volume of the rock by placing the rock in a graduated cylinder with 50 mL of water and watched the water rise to 72.7 mL. The student determined the mass is 39.943 g through the use of a triple beam balance. What is the density of the rock? ( hint: for volume find the difference between the two volumes)

1 answer

To find the volume of the rock, we need to find the difference between the initial volume of water in the graduated cylinder (50 mL) and the final volume after the rock was added (72.7 mL):

Volume of rock = 72.7 mL - 50 mL = 22.7 mL

Next, we need to convert the volume from milliliters to cubic centimeters (cm³), since density is typically measured in g/cm³:

1 mL = 1 cm³

Therefore, the volume of the rock is 22.7 cm³.

To find the density, we divide the mass of the rock (39.943 g) by its volume:

Density = Mass / Volume
Density = 39.943 g / 22.7 cm³

Calculating this expression, we find the density of the rock is approximately 1.76 g/cm³.