Question

A student determined the mass of an empty graduated cylinder was 58.4 g. She poured 25.0 mL of perfume into the graduated cylinder and massed it again. The combined mass of the graduated cylinder and the perfume was 68.8 g. Calculate the density of the perfume and compare it to the density of water.

a. 0.416 g/mL, more dense than water
b. 0.416 g/mL, less dense than water
c. 2.40 g/mL, less dense than water
d. 2.40 g/mL, more dense than water

Answer 1

The density of the perfume is 0.416 g/mL, which is less dense than water with a density of 1.00 g/mL, making option (b) the correct answer.

Step-by-step explanation:

To calculate the density of the perfume, we first need to find the mass of the perfume alone. We do this by subtracting the mass of the empty graduated cylinder from the combined mass. So, the mass of the perfume is 68.8 g - 58.4 g = 10.4 g. Density is mass divided by volume. Therefore, the density of the perfume = (10.4 g) / (25.0 mL) = 0.416 g/mL.

The density of water is 1.00 g/mL. Since the perfume's density (0.416 g/mL) is less than the density of water, the perfume is less dense than water.

Hence, the correct answer is (b) 0.416 g/mL, less dense than water.