Density Calculation Quiz

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Questions and Answers

What is the equivalent of 1 meter in millimeters?

10 mm

100 mm

1000 mm (correct)

10000 mm

How many liters are in 1 cubic meter?

10,000 liters

100 liters

1,000 liters (correct)

100,000 liters

Which of the following represents the conversion from kilometers to miles?

1 km = 2.54 miles

1 km = 1000 miles

1 km = 1.6 miles

1 km = 0.62137 miles (correct)

What is the mass of 1 metric ton in kilograms?

1000 kg Signup and view all the answers

Which unit is equal to 1 atmospheric pressure?

760 mm Hg Signup and view all the answers

What is the value of Avogadro's number?

6.022 x 10^23 Signup and view all the answers

How many seconds are in one hour?

3600 seconds Signup and view all the answers

Which of the following correctly converts degrees Celsius to Kelvin?

K = C + 273.15 Signup and view all the answers

Which statement best explains why a bowling ball feels heavier than a volleyball of the same size?

The bowling ball is made of denser matter than the volleyball. Signup and view all the answers

What is the density of an object that has a mass of 5 kg and a volume of 50 cm³?

2 kg/cm³ Signup and view all the answers

How is density calculated?

By dividing mass by volume. Signup and view all the answers

What does a higher density indicate about the particles of matter?

Particles are closely packed. Signup and view all the answers

If an object has a mass of 300 g and a volume of 30 mL, what is its density?

10 g/mL Signup and view all the answers

What is the density of a substance with a mass of 35 g and a volume of 2500 mL?

0.014 g/mL Signup and view all the answers

Which of the following statements correctly describes the relationship between density and the arrangement of particles in matter?

Higher density means particles are packed more closely together. Signup and view all the answers

If a block of aluminum has a mass of 8.1 g and a volume of 3 cm³, what is its density?

2.7 g/cm³ Signup and view all the answers

What is the mass of 75 mL of water given that its density is 1 g/mL?

75 g Signup and view all the answers

Which of the following explains why helium balloons rise in the air?

Helium has less density than air. Signup and view all the answers

What can be deduced about the volume of a piece of iron given its mass of 31.6 g and a density of 7.9 g/mL?

3.99 mL Signup and view all the answers

When comparing a bowling ball and a volleyball of the same size, which property accounts for the bowling ball feeling heavier?

The bowling ball is made of solid plastic with tightly packed particles. Signup and view all the answers

What is the density of diamonds if the mass is 1.0 g and their established density is 3.5 g/cm³?

0.3 cm³ Signup and view all the answers

Study Notes

Density Overview

Density is defined as mass per unit volume, with units commonly measured in g/mL or g/cm³.
Different materials exhibit varying densities, impacting their physical properties and behaviors.

Calculating Density

The formula for density: Density = Mass / Volume.
To solve density problems, follow these steps:
- List given values (mass and volume).
- Use the formula and rearrange if necessary to solve for the unknown.
- Substitute values and compute, ensuring units are included.

Density Problems

Example 1: Aluminum block
- Mass: 8.1 g, Volume: 3 cm³
- Calculate: D = 8.1 g / 3 cm³ = 2.7 g/cm³
Example 2: Water
- Density: 1 g/mL, Volume: 75 mL
- Calculate mass: Mass = Density × Volume = 1 g/mL × 75 mL = 75 g
Example 3: Iron
- Mass: 31.6 g, Density: 7.9 g/mL
- Calculate Volume: V = Mass / Density = 31.6 g / 7.9 g/mL = 4.0 mL
Example 4: Substance in a flask
- Volume: 2500 mL, Mass: 35 g
- Density = 35 g / 2500 mL = 0.014 g/mL
Example 5: Diamond
- Density: 3.5 g/cm³, Mass: 1.0 g
- Calculate Volume: V = Mass / Density = 1.0 g / 3.5 g/cm³ = 0.286 cm³

Importance of Density

Density indicates how closely packed particles are within a substance.
Greater particle packing results in higher density. Ex: Bowling ball vs. volleyball: despite similar size, the bowling ball's material is denser.
Density differences explain various phenomena, like why helium balloons rise or how ocean currents operate.

SI Conversion Factors

Length: meter (m)
- 1 m = 100 cm, 1000 mm, 1 km = 1000 m
Mass: kilogram (kg)
- 1 kg = 1000 g, 1 g = 1000 mg
Volume: cubic meter (m³)
- 1 m³ = 1000 L, 1 cm³ = 1 mL
Time: second (s)
- 1 min = 60 s, 1 hr = 60 min
Temperature: kelvin (K)
- 0 K = -273.15 °C

Key Constants

Gas Law Constant: R = 8.3145 J/K.mol
Speed of Light: c = 2.9979 x 10⁸ m/s
Planck’s Constant: h = 6.626 x 10⁻³⁴ J.s
Avogadro’s number: N = 6.022 x 10²³ atoms or molecules/mol
STP: 273 K (0 °C) and 1 atm of pressure
Mass of particles:
- Electron: 9.109 x 10⁻³¹ kg
- Proton: 1.673 x 10⁻²⁷ kg
- Neutron: 1.675 x 10⁻²⁷ kg

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Description

Test your understanding of density concepts and calculations with this quiz. You will work through examples involving the calculation of density, mass, and volume for various substances. Perfect for students looking to strengthen their grasp of this fundamental physics topic.