Density: Questions on Formulas, and Solutions

Questions on Density  

 Understanding density is essential for studying matter, solving chemistry problems, and interpreting physical properties of substances. As a Science Teacher and Education Specialist, I have helped students apply density concepts through laboratory investigations and real-world examples involving solids, liquids, and gases. These Density questions with answer key are designed to strengthen quantitative reasoning and provide practical experience with measurements, scientific calculations, and data analysis used in chemistry, physics, engineering, and environmental sciences.

What is Density? It is a physical property that describes the amount of mass contained in a given volume of a substance. It is commonly expressed in units such as grams per cubic centimeter (g/cm³) or grams per milliliter (g/mL). Density helps scientists identify materials, predict whether objects will float or sink, and understand the behavior of matter. Because different substances have characteristic densities, this property is widely used in chemistry, physics, geology, engineering, and many industrial applications.

Multiple-Choice Questions – Density (Chemistry)


    1. What is the formula for density?

A) Density = mass × volume

B) Density = mass / volume

C) Density = volume / mass

D) Density = mass + volume

E) Density = volume - mass

    2. Which units are commonly used for density in chemistry?

A) g/cm³ or g/mL

B) kg·m

C) m/s²

D) liters

E) moles

    3. What is the density of an object with a mass of 50 g and a volume of 10 cm³?

A) 5 g/cm³

B) 500 g/cm³

C) 0.2 g/cm³

D) 60 g/cm³

E) 40 g/cm³

    4. If the density of water is 1 g/mL, what is the volume of 250 g of water?

A) 250 mL

B) 25 mL

C) 0.25 mL

D) 2.5 mL

E) 2500 mL

    5. Density is a ___ property because it does not depend on the amount of substance.

A) Extensive

B) Intensive

C) Variable

D) Absolute

E) Dependent

    6. Which of the following substances will float on water?

A) Density = 1.5 g/cm³

B) Density = 1.0 g/cm³

C) Density = 0.8 g/cm³

D) Density = 2.0 g/cm³

E) Density = 1.2 g/cm³

    7. How would the density of an object change if it is cut into smaller pieces?

A) Increase

B) Decrease

C) Remain the same

D) Double

E) Halve

    8. What is the mass of an object with a density of 2.5 g/cm³ and a volume of 4 cm³?

A) 10 g

B) 6.5 g

C) 1.6 g

D) 0.625 g

E) 2.5 g

    9. What is the volume of an object with mass 36 g and density 4.5 g/cm³?

A) 8 cm³

B) 40.5 cm³

C) 81 cm³

D) 0.125 cm³

E) 4 cm³

    10. Which instrument is commonly used to measure the volume of irregular objects to calculate density?

A) Thermometer

B) Graduated cylinder

C) Balance

D) Spectrophotometer

E) Burette

    11. What is the density of a liquid with mass 150 g and volume 200 mL?

A) 0.75 g/mL

B) 1.33 g/mL

C) 350 g/mL

D) 50 g/mL

E) 0.67 g/mL

    12. If an object sinks in water, what can you infer about its density?

A) Density less than 1 g/cm³

B) Density equal to 1 g/cm³

C) Density greater than 1 g/cm³

D) Density zero

E) Density less than zero

    13. How does temperature usually affect the density of a substance?

A) Density increases with temperature

B) Density decreases with temperature

C) Density remains constant

D) Density doubles

E) Density becomes zero

    14. What is the density of a substance if 10 mL has a mass of 25 g?

A) 0.4 g/mL

B) 2.5 g/mL

C) 35 g/mL

D) 250 g/mL

E) 0.25 g/mL

    15. Which of the following is an example of a correct density unit?

A) kg/cm³

B) g/L

C) m³/g

D) g/s

E) cm/g

    16. When finding the density of a gas, what SI units are typically used?

A) g/mL

B) kg/m³

C) g/cm³

D) mol/L

E) m/s

    17. Which of the following materials likely has the highest density?

A) Air

B) Wood

C) Gold

D) Oil

E) Ice

    18. What happens to the density of water when it freezes into ice?

A) Increases

B) Decreases

C) Remains the same

D) Becomes zero

E) Doubles

    19. A block of metal weighs 100 g and displaces 20 cm³ of water. What is the density of the metal?

A) 0.2 g/cm³

B) 2 g/cm³

C) 5 g/cm³

D) 20 g/cm³

E) 100 g/cm³

    20. Why is density useful for identifying substances?

A) It varies greatly for the same material

B) It is the same for all substances

C) Each substance has a unique density

D) It depends on color

E) It depends on shape

 

 Answer Key with Explanations


    1. B) Density = mass / volume

Density is mass divided by volume.

    2. A) g/cm³ or g/mL

Common units for density are grams per cubic centimeter or grams per milliliter.

    3. A) 5 g/cm³

Density = 50 g ÷ 10 cm³ = 5 g/cm³.

    4. A) 250 mL

Since density of water is 1 g/mL, volume = mass/density = 250 g / 1 g/mL = 250 mL.

    5. B) Intensive

Density does not depend on amount, so it is an intensive property.

    6. C) Density = 0.8 g/cm³

Objects with density less than water (1 g/cm³) float.

    7. C) Remain the same

Density is independent of size or shape.

    8. A) 10 g

Mass = density × volume = 2.5 g/cm³ × 4 cm³ = 10 g.

    9. A) 8 cm³

Volume = mass / density = 36 g / 4.5 g/cm³ = 8 cm³.

    10. B) Graduated cylinder

Used to measure volume of irregular solids via water displacement.

    11. A) 0.75 g/mL

Density = 150 g / 200 mL = 0.75 g/mL.

    12. C) Density greater than 1 g/cm³

Sinking means density higher than water.

    13. B) Density decreases with temperature

Most substances expand and become less dense when heated.

    14. B) 2.5 g/mL

Density = 25 g / 10 mL = 2.5 g/mL.

    15. B) g/L

g/L is a valid density unit, especially for liquids and gases.

    16. B) kg/m³

Density of gases often expressed in kilograms per cubic meter.

    17. C) Gold

Gold is very dense compared to air, wood, oil, or ice.

    18. B) Decreases

Ice is less dense than water, so it floats.

    19. C) 5 g/cm³

Density = 100 g / 20 cm³ = 5 g/cm³.

    20. C) Each substance has a unique density

Density is a characteristic property helpful in identification.

Density: Questions on Formulas, and Solutions

Practical Classroom Applications

Teachers can use this topic through a variety of engaging activities:
    • Density Laboratory Experiments
        ◦ Measure mass and volume to calculate the density of different materials.
    • Floating and Sinking Investigations
        ◦ Predict and explain why objects float or sink based on density.
    • Chemistry Applications
        ◦ Explore the density of solids, liquids, and gases.
    • Physics Connections
        ◦ Relate density to buoyancy and fluid behavior.
    • Engineering Examples
        ◦ Discuss how density influences material selection in construction and manufacturing.
    • Environmental Science Activities
        ◦ Investigate oil spills, ocean layers, and atmospheric density.
    • Graphing and Data Analysis
        ◦ Compare density values and identify patterns among substances.
    • Measurement Practice
        ◦ Use balances and graduated cylinders to improve laboratory skills.
    • Real-World Applications
        ◦ Examine density in transportation, mining, medicine, and food science.
    • Critical Thinking Exercises
        ◦ Analyze how density can be used to identify unknown substances.


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Ronaldo Silva: Professor and Specialist in Science Education from University Federal FLuminense/RJ, with over 25 years of teaching experience..

 
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