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Chapter 13: Problem 38

Why would putting a rug on a tiled bathroom floor make it feel less chilly to bare feet?

Short Answer

Expert verified
A rug insulates your feet from the cold tiles by reducing heat transfer due to its lower thermal conductivity.

Step by step solution

01

- Understanding Thermal Conductivity

Thermal conductivity is a measure of how well a material can conduct heat. Materials with high thermal conductivity, like tiles, quickly transfer heat away from the body, making them feel colder.
02

- Thermal Conductivity of Tiles

Tiles typically have high thermal conductivity, which means they quickly draw heat away from your feet, giving a sensation of coldness.
03

- Thermal Conductivity of Rugs

Rugs have lower thermal conductivity compared to tiles. They do not transfer heat as efficiently, meaning they do not draw heat away from your feet as quickly, making them feel warmer.
04

- Comfort Sensation

When standing on a rug, the rug insulates your feet from the cold tiles, reducing the heat transfer and making it feel warmer and more comfortable.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

heat transfer
Heat transfer is the movement of thermal energy from one object or material to another. It happens in three ways: conduction, convection, and radiation.
In this particular exercise, we're focusing on conduction, which is the transfer of heat through direct contact. When your feet touch the tile floor, heat moves from your warm feet to the cooler tiles. This makes your feet feel cold.
Materials with higher thermal conductivity, like tiles, transfer heat quickly. Conversely, materials like rugs have lower thermal conductivity and do not transfer heat as fast, which brings us to the concept of insulation.
insulation
Insulation refers to the ability of a material to resist the transfer of heat. Insulators have low thermal conductivity and slow down the movement of heat.
In the exercise, tiles are not good insulators. They conduct heat away from your feet swiftly, making them feel cold. On the other hand, rugs act as insulators. They slow down the transfer of heat from your feet to the tile floor underneath.
This means less heat escapes from your feet when standing on a rug, keeping your feet warmer and making the rug feel more comfortable.
comfort sensation
Comfort sensation is the subjective feeling of warmth or coldness experienced by your body. It is influenced by how rapidly heat is transferred between your body and the surrounding materials.
When you stand on a tile floor with high thermal conductivity, heat is transferred away from your feet rapidly, resulting in a chilly sensation.
On the other hand, a rug with lower thermal conductivity does not transfer heat away from your feet as quickly. This reduces the chilly sensation and gives a feeling of warmth and comfort.
So, putting a rug on a tiled bathroom floor reduces heat transfer, resulting in a more comfortable sensation for your bare feet.

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Most popular questions from this chapter

An ice cube at \(0^{\circ} \mathrm{C}\) is placed in a foam cup containing 200 grams of water at \(60^{\circ} \mathrm{C}\). When the system reaches thermal equilibrium, its temperature is \(30^{\circ} \mathrm{C}\). Was the mass of the ice cube greater than, equal to, or less than 200 grams? Explain your reasoning.

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