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Chapter 17: Problem 9

Which object has the higher temperature after being left outside for an entire winter night: a metal door knob or a rug? a) The metal door knob has the higher temperature. b) The rug has the higher temperature. c) Both have the same temperature. d) It depends on the outside temperature.

Short Answer

Expert verified
Explain your reasoning. Answer: Both the metal door knob and the rug would have the same temperature after being left outside for an entire winter night because both objects will eventually reach thermal equilibrium with their surroundings, even though the metal door knob transfers heat more rapidly than the rug.

Step by step solution

01

Understand heat transfer in a metal door knob

Metal is a good conductor of heat, which means that it will rapidly transfer heat to and from the surrounding air. The metal door knob would likely have a much quicker response to the changing temperature as it loses heat to the cold air faster.
02

Understand heat transfer in a rug

A rug, on the other hand, is a poor conductor of heat (i.e., it is an insulator). It will not transfer heat as quickly as the metal door knob, and it will take more time for the rug to reach the ambient temperature. The rug would retain heat longer compared to the metal door knob.
03

Compare the two objects after being left outside for an entire winter night

After a long period (an entire winter night) in the cold, both the rug and the metal door knob will eventually reach thermal equilibrium with their surroundings, meaning both will have the same temperature after being left outside for an entire winter night.
04

Choose the correct answer

With the previous analysis, the correct answer would be: c) Both have the same temperature.

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Most popular questions from this chapter

On a cool morning, with the temperature at \(15.0^{\circ} \mathrm{C}\), a painter fills a 5.00 -gal aluminum container to the brim with turpentine. When the temperature reaches \(27.0^{\circ} \mathrm{C}\), how much fluid spills out of the container? The volume expansion coefficient for this brand of turpentine is \(9.00 \cdot 10^{-4}{ }^{\circ} \mathrm{C}^{-1}\).

Some textbooks use the unit \(\mathrm{K}^{-1}\) rather than \({ }^{\circ} \mathrm{C}^{-1}\) for values of the linear expansion coefficient; see Table 17.2 How will the numerical values of the coefficient differ if expressed in \(\mathrm{K}^{-1}\) ?

An aluminum vessel with a volume capacity of \(500 . \mathrm{cm}^{3}\) is filled with water to the brim at \(20 .{ }^{\circ} \mathrm{C} .\) The vessel and contents are heated to \(50 .{ }^{\circ} \mathrm{C} .\) During the heating process, will the water spill over the top, will there be more room for water to be added, or will the water level remain the same? Calculate the volume of water that will spill over or that could be added if either is the case.

For food storage, what is the advantage of placing a metal lid on a glass jar? (Hint: Why does running the metal lid under hot water for a minute help you open such a jar?)

At room temperature, an iron horseshoe, when dunked into a cylindrical tank of water (radius of \(10.0 \mathrm{~cm})\) causes the water level to rise \(0.25 \mathrm{~cm}\) above the level without the horseshoe in the tank. When heated in the blacksmith's stove from room temperature to a temperature of \(7.00 \cdot 10^{2} \mathrm{~K}\) worked into its final shape, and then dunked back into the water, how much does the water level rise above the "no horseshoe" level (ignore any water that evaporates as the horseshoe enters the water)? Note: The linear expansion coefficient for iron is roughly that of steel: \(11 \cdot 10^{-6}{ }^{\circ} \mathrm{C}^{-1}\).
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