   Chapter 9.2, Problem 9.1QQ

Chapter
Section
Textbook Problem

Suppose you have one cubic meter of gold, two cubic meters of silver, and six cubic meters of aluminum. Rank them by mass, from smallest to largest, (a) gold, aluminum, silver (b) gold, silver, aluminum (c) aluminum, gold, silver (d) silver, aluminum, gold

To determine
Rank of gold, silver, and aluminium by their mass.

Explanation

Section 1:

To determine: The mass of gold.

Answer: The mass of gold is 19.3×103kg .

Explanation:

Given info: The volume of given gold is 1m3 and density of gold is 19.3×103kg/m3 .

The formula for the mass of gold is,

mgold=ρgoldVgold

• ρgold is density of gold.
• Vgold is volume of given gold.

Substitute 1m3 for Vgold and 19.3×103kg/m3 for ρgold to find mgold .

mgold=(19.3×103kg/m3)(1m3)=19.3×103kg

Thus, the mass of gold is 19.3×103kg .

Section 2:

To determine: The mass of silver.

Answer: The mass of silver is 21.0×103kg .

Explanation:

Given info: The volume of given silver is 2m3 and density of silver is 10.5×103kg/m3 .

The formula for the mass of silver is,

msilver=ρsilverVsilver

• ρsilver is density of gold.
• Vsilver is volume of given gold.

Substitute 2m3 for Vsilver and 10

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