Question

A graduated cylinder contains 20.0 mL of water. An irregularly shaped object is placed in the cylinder, and the water level rises to the 31.2-mL mark. If the object has a mass of 7.42 g, what is its density?

Answer 1

The density of the object is 0.662 g/cm³.

Step-by-step explanation:

The density of an object is calculated by dividing its mass by its volume. In this case, the mass of the object is 7.42 g and the volume is the difference between the final and initial water levels in the graduated cylinder, which is 31.2 mL - 20.0 mL = 11.2 mL.

To convert mL to cm³, we simply multiply by 1 cm³/1 mL. Therefore, the volume is 11.2 cm³.

Finally, we can calculate the density using the formula:

Density = Mass / Volume

Substituting in the values, we get:

Density = 7.42 g / 11.2 cm³

Calculating this value gives us a density of 0.662 g/cm³.

Answer 2

According to Archimedes principle, when an object is submerged in water, it displaces a volume of water equivalent to the volume of the object. Therefore, the object's volume is:
31.2 - 20 = 11.2 mL

Next, we know that the density of any substance is the ratio of the substance's mass to its volume, so the density is:
Density = mass / volume
Density = 7.42 / 11.2

Density = 0.66 grams per mL