Battles Density Quiz

1. Objects 1 and 2 float as shown in the beaker below. The density of the liquid in the beaker is 3.2 g/mL. Which of the densities given below are possible values for the densities of the two objects?

Density of object 1 = 4.4 g/cm3 Density of object 2 = 4.0 g/cm3

Density of object 1 = 3.0 g/cm3 Density of object 2 = 1.8 g/cm3

Density of object 1 = 1.6 g/cm3 Density of object 2 = 2.9 g/cm3

Density of object 1 = 2.5 g/cm3 Density of object 2 = 3.8 g/cm3

The density of an object determines whether it will float or sink in a liquid. If the density of an object is less than the density of the liquid, it will float. In this case, the density of object 1 is 3.0 g/cm3, which is less than the density of the liquid (3.2 g/mL), so object 1 will float. Similarly, the density of object 2 is 1.8 g/cm3, which is also less than the density of the liquid, so object 2 will float as well. Therefore, the given densities of object 1 and object 2 are possible values for their densities.

Explanation

The density of an object determines whether it will float or sink in a liquid. If the density of an object is less than the density of the liquid, it will float. In this case, the density of object 1 is 3.0 g/cm3, which is less than the density of the liquid (3.2 g/mL), so object 1 will float. Similarly, the density of object 2 is 1.8 g/cm3, which is also less than the density of the liquid, so object 2 will float as well. Therefore, the given densities of object 1 and object 2 are possible values for their densities.

2. Objects 1 and 2 are placed in the beaker below. The density of the liquid in the beaker is 2.0 g/mL. Which of the densities given below are possible values for the densities of the two objects?

Density of object 1 = 0.8 g/cm3 Density of object 2 = 3.0 g/cm3

Density of object 1 = 3.0 g/cm3 Density of object 2 = 0.8 g/cm3

Density of object 1 = 3.8 g/cm3 Density of object 2 = 3.0 g/cm3

Density of object 1 = 1.5 g/cm3 Density of object 2 = 0.8 g/cm3

The density of an object is determined by its mass and volume. In this question, object 1 has a density of 3.0 g/cm3 and object 2 has a density of 0.8 g/cm3. Since the density of the liquid in the beaker is 2.0 g/mL, it is possible for object 1 to be denser than the liquid and for object 2 to be less dense than the liquid. Therefore, the given densities of object 1 and object 2 are possible values.

Explanation

The density of an object is determined by its mass and volume. In this question, object 1 has a density of 3.0 g/cm3 and object 2 has a density of 0.8 g/cm3. Since the density of the liquid in the beaker is 2.0 g/mL, it is possible for object 1 to be denser than the liquid and for object 2 to be less dense than the liquid. Therefore, the given densities of object 1 and object 2 are possible values.

3. An object with a density of 0.85 g/cm³ is dropped into each of the two beakers shown below. What will happen to the object in each case?

It will sink in both beakers.

It will float in beaker 1 and sink in beaker 2.

It will sink in beaker 1 and float in beaker 2.

It will float in both beakers.

The object with a density of 0.85 g/cm3 will sink in beaker 1 because the density of the object is greater than the density of the liquid in beaker 1. However, it will float in beaker 2 because the density of the object is less than the density of the liquid in beaker 2.

Explanation

The object with a density of 0.85 g/cm3 will sink in beaker 1 because the density of the object is greater than the density of the liquid in beaker 1. However, it will float in beaker 2 because the density of the object is less than the density of the liquid in beaker 2.

4. An object with unknown density is tested in two beakers. Beaker 1 contains liquid with a density of 1.5 g/mL, and Beaker 2 contains liquid with a density of 2.0 g/mL. The object sinks in both beakers. Which of the following statements about the object's density is true?

The object's density is less than 1.5 g/cm3.

The object's density is exactly 1.5 g/cm3.

The object's density is greater than 1.5 g/cm3 and less than 2.0 g/cm3.

The object's density is greater than 2.0 g/cm3.

Since the object sinks in both beakers, it must have a greater density than both liquids. The density of Beaker 1 is 1.5 g/mL and the density of Beaker 2 is 2.0 g/mL. Therefore, the object's density must be greater than 2.0 g/cm3.

Explanation

Since the object sinks in both beakers, it must have a greater density than both liquids. The density of Beaker 1 is 1.5 g/mL and the density of Beaker 2 is 2.0 g/mL. Therefore, the object's density must be greater than 2.0 g/cm3.

5. Identical objects are placed in Beaker A and in Beaker B. The objects float as shown in the diagrams below. What can you conclude about the liquid in each of the beakers?

Both liquids are less dense than the object.

The liquid in Beaker A has a greater density than the liquid in Beaker B.

The liquid in Beaker B has a greater density than the liquid in Beaker A.

The correct answer is that the liquid in Beaker B has a greater density than the liquid in Beaker A. This can be concluded because the objects are floating in Beaker A, indicating that the liquid in Beaker A is less dense than the objects. Since the objects are sinking in Beaker B, it can be inferred that the liquid in Beaker B is denser than the objects and therefore denser than the liquid in Beaker A.

Explanation

The correct answer is that the liquid in Beaker B has a greater density than the liquid in Beaker A. This can be concluded because the objects are floating in Beaker A, indicating that the liquid in Beaker A is less dense than the objects. Since the objects are sinking in Beaker B, it can be inferred that the liquid in Beaker B is denser than the objects and therefore denser than the liquid in Beaker A.