5. a) Describe how the mass of a cube of metal changes with the length of the cube. b) Describe how the surface area to volume ratio changes with the length of the cube. Application Questions 6. A student makes the following statement. "If I double the amount of metal I have, the density will double." Is the student correct? Explain

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Chapter13: State Of Matter
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Problem 108A
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5. a) Describe how the mass of a cube of metal changes with the length of the cube.
b) Describe how the surface area to volume ratio changes with the length of the cube.
Application Questions
6. A student makes the following statement. "If I double the amount of metal I have, the
density will double." Is the student correct? Explain
7. If a balloon filled with air is put into a jar with a vacuum the balloon will expand.
Assume that no air leaks out of the balloon. a) How does the volume occupied by the air
change? Explain. b) What happens to the mass of the air? Explain. c) What happens to
the density? Explain.
Transcribed Image Text:5. a) Describe how the mass of a cube of metal changes with the length of the cube. b) Describe how the surface area to volume ratio changes with the length of the cube. Application Questions 6. A student makes the following statement. "If I double the amount of metal I have, the density will double." Is the student correct? Explain 7. If a balloon filled with air is put into a jar with a vacuum the balloon will expand. Assume that no air leaks out of the balloon. a) How does the volume occupied by the air change? Explain. b) What happens to the mass of the air? Explain. c) What happens to the density? Explain.
Expert Solution
Step 1

5.a)Mass and volume of an object is related by its density.

ρ=mV                                                                         ......(1)

where ρ is the density of the object

          m is the mass

          V is the volume

volume of a cube, V=L3                                            ......(2)

Surface area of cube, S=6L2                                     ......(3)

where L is the length of the cube

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