1. Intro to General Chemistry

Density of Geometric Objects

Multiple Choice
If a cube has sides of 3 nm and a mass of 81 ng, what is its density in g/cm^3?
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Multiple Choice
Which of the following best describes how the density of a gas changes as temperature increases, assuming pressure remains constant?
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Multiple Choice
A cube has sides of length 3 nm. What are the surface area and volume of the cube?
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Multiple Choice
A table tennis ball has a diameter of 4.0 cm. What is its volume in cm^3? (Assume the ball is a perfect sphere.)
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Multiple Choice
If the atomic radius of aluminum is 0.143 nm and aluminum crystallizes in a face-centered cubic (FCC) structure, what is the volume of its unit cell in cubic meters?
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Multiple Choice
A cube measures 12.5 inches on each side. What is its volume in cubic centimeters?
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Multiple Choice
What is the volume, in m^3, of a cube with sides of length 11.0 cm?
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Multiple Choice
A block of metal has a width of 3.2 cm, a length of 17.1 cm, and a height of 4.3 cm. Its mass is 1.1 kg. Calculate the density of the metal in g/cm³.
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Multiple Choice
You have a 100 gram sample of each of the following metals. Which sample has the largest volume?
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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?
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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)
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Multiple Choice
The two objects shown below have the same mass. Which has the largest density?
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Multiple Choice
Chromium crystallizes in a body-centered cubic structure with an atomic radius of 125 pm. Given that the atomic mass of chromium is 51.9961 g/mol, estimate the density of Cr metal in g/cm³.
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Multiple Choice
Iron crystallizes with a body-centered cubic unit cell. The radius of an iron atom is 126 pm. Calculate the density of solid crystalline iron in grams per cubic centimeter.
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Multiple Choice
Given that the density of an unknown metal is 8.94 g/cm³, its atomic radius is 0.126 nm, and it has a face-centered cubic lattice, what is the molar mass of the metal?
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