Question

A student measures the mass of a graduated cylinder to be 10.10 g. They fill the cylinder with a liquid to a volume of 19.1 mL, and the mass of the liquid is 52.72 g. After placing an object in the cylinder, the volume becomes 43.6 mL, and the final mass is 92.87 g. What is the density of the object?

A) 1.234 g/mL
B) 2.567 g/mL
C) 0.789 g/mL
D) 3.412 g/mL

Answer 1

The density of the object is 1.23 g/mL (Option A). To find the density of the object, subtract the mass of the cylinder and liquid from the mass of the cylinder and liquid with the object. Then, calculate the change in volume. Finally, use the formula density = mass/volume to calculate the density of the object.

Step-by-step explanation:

To find the density of the object, we need to use the formula: density = mass/volume.

We are given the mass of the graduated cylinder without the object (10.10 g), the mass of the liquid inside the cylinder (52.72 g), and the mass of the cylinder with the object (92.87 g).

We are also given the initial volume of the liquid (19.1 mL) and the final volume after placing the object (43.6 mL).

First, we need to find the mass of the object by subtracting the mass of the cylinder and liquid from the mass of the cylinder and liquid with the object:

92.87 g - 10.10 g - 52.72 g = 30.05 g.

Next, we can calculate the change in volume: 43.6 mL - 19.1 mL = 24.5 mL.

Finally, we can use the formula to calculate the density:

density = mass/volume = 30.05 g/24.5 mL = 1.23 g/mL.

Therefore, the density of the object is 1.23 g/mL.

Hence, the correct answer is 1.23 g/mL (Option A).