Table of contents

1. Intro to General Chemistry3h 48m
2. Atoms & Elements4h 16m
3. Chemical Reactions4h 10m
4. BONUS: Lab Techniques and Procedures1h 38m
5. BONUS: Mathematical Operations and Functions48m
6. Chemical Quantities & Aqueous Reactions3h 53m
7. Gases3h 49m
8. Thermochemistry2h 37m
9. Quantum Mechanics2h 58m
10. Periodic Properties of the Elements3h 9m
11. Bonding & Molecular Structure3h 29m
12. Molecular Shapes & Valence Bond Theory1h 57m
13. Liquids, Solids & Intermolecular Forces2h 23m
14. Solutions3h 1m
15. Chemical Kinetics2h 53m
16. Chemical Equilibrium2h 29m
17. Acid and Base Equilibrium5h 1m
18. Aqueous Equilibrium4h 47m
19. Chemical Thermodynamics1h 50m
20. Electrochemistry2h 42m
21. Nuclear Chemistry2h 36m
22. Organic Chemistry5h 7m
23. Chemistry of the Nonmetals2h 39m
24. Transition Metals and Coordination Compounds3h 16m

1. Intro to General Chemistry

Density of Geometric Objects

General Chemistry

1. Intro to General Chemistry

Density of Geometric Objects

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Multiple Choice

A copper wire (density = 8.96 g/cm³) has a diameter of 0.32 mm. If a sample of this copper wire has a mass of 21.7 g, how long is the wire?

Length of copper wire calculated as 3011 cm.

Length of copper wire expressed as 3.0 x 10^3 cm.

Length of copper wire expressed as 6.0 x 10^3 cm.

Length of copper wire calculated as 6022 cm.

Length of copper wire expressed as 7.41 x 10^3 cm.

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Verified step by step guidance

First, convert the diameter of the wire from millimeters to centimeters. Since 1 mm = 0.1 cm, the diameter of 0.32 mm is equivalent to 0.032 cm.

Calculate the radius of the wire by dividing the diameter by 2. The radius is 0.032 cm / 2.

Use the formula for the volume of a cylinder, V = πr²h, where r is the radius and h is the height (or length) of the cylinder. Rearrange the formula to solve for h: h = V / (πr²).

Determine the volume of the copper wire using its mass and density. The formula for density is ρ = mass/volume, so volume = mass/density. Substitute the given mass (21.7 g) and density (8.96 g/cm³) into the formula to find the volume.

Substitute the calculated volume and radius into the rearranged cylinder volume formula to solve for the length of the wire. This will give you the length in centimeters.

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Related Practice

Open Question

How many 1-cm cubes does it take to construct a cube that is 4 cm on each edge?

Open Question

Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K. Researchers often purchase liquid nitrogen in insulated 175 L tanks. The liquid vaporizes quickly to gaseous nitrogen (which has a density of 1.15 g/L at room temperature and atmospheric pressure) when the liquid is removed from the tank. Suppose that all 175 L of liquid nitrogen in a tank accidentally vaporized in a lab that measured 10.00 m * 10.00 m * 2.50 m. What maximum fraction of the air in the room could be displaced by the gaseous nitrogen?

Open Question

What is the radius (in cm) of a pure copper sphere that contains 1.14 * 10^24 copper atoms? [The volume of a sphere is (4/3)πr^3 and the density of copper is 8.96 g/cm^3.]

Textbook Question

(b) Because atoms are spherical, they cannot occupy all of the space of the cube. The silver atoms pack in the solid in such a way that 74% of the volume of the solid is actually filled with the silver atoms. Calculate the volume of a single silver atom.

Multiple Choice

If the density of a certain spherical atomic nucleus is 1.0 x 10¹⁴ g/cm³ and its mass is 3.5 x 10^-23 g, what is the radius in angstroms? (Å= 10⁻¹⁰ m)

The two objects shown below have the same mass. Which has the largest density?

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Textbook Question

Calculate the volume in liters of a rectangular object with dimensions 13.0 cm * 11.0 cm * 12.0 cm. (a) 1720 L (b) 1.72 L (c) 14.3 L (d) 2.41 L

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Textbook Question

(a) Three spheres of equal size are composed of aluminum (density = 2.70 g/cm³), silver (density = 10.49 g/cm³), and nickel (density = 8.90 g/cm³). List the spheres from lightest to heaviest.

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