Chapter 1: Q. 1.56 (page 39)

Calculate the rate of heat conduction through a layer of still air that is $1 m m$ thick, with an area of $1 m^{2}$ , for a temperature difference of $20^{\circ} C$ .

Short Answer

Expert verified

The rate of heat conduction through a layer of still air is $\frac{Q}{Δ t} = - 520 watts.$

Step by step solution

Step: 1 Heat conduction definition:

Heat conduction is the transfer of thermal energy from one part of a substance to another via atomic or molecular interactions. Conduction is one of three primary ways of heat transport, and including convection and radiation.

Step: 2 Finding the heat conduction rate value:

The thermal conductivity of air is $k_{t} = 0.026 J \times s^{- 1} \times m^{- 1} \times K^{- 1}$ .

The still layer air with surface area of $1 m^{2}$ and thickness of $1 m m$ and $∆ T = 20^{\circ} K$ ,

$\begin{array}{l} \frac{Q}{Δ t} = - k_{t} A \frac{Δ T}{Δ x} \\ \frac{Q}{Δ t} = - 0.026 \times 1 \times \frac{20}{0.001} \\ \frac{Q}{Δ t} = - 520 watts. \end{array}$

The negative sign indicates the heat flows down the temperature gradient.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Calculate the rate of heat conduction through a layer of still air that is $1 m m$ thick, with an area of $1 m^{2}$ , for a temperature difference of $20^{\circ} C$ .

Short Answer

Step by step solution

Step: 1 Heat conduction definition:

Step: 2 Finding the heat conduction rate value:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physical Quantities And Units

Fluids

Magnetism

Electrostatics

Geometrical and Physical Optics

Space Physics

Study anywhere. Anytime. Across all devices.

Calculate the rate of heat conduction through a layer of still air that is1mmthick, with an area of 1m2, for a temperature difference of 20∘C.

Short Answer

Step by step solution

Step: 1 Heat conduction definition:

Step: 2 Finding the heat conduction rate value:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physical Quantities And Units

Fluids

Magnetism

Electrostatics

Geometrical and Physical Optics

Space Physics

Study anywhere. Anytime. Across all devices.

Calculate the rate of heat conduction through a layer of still air that is $1 m m$ thick, with an area of $1 m^{2}$ , for a temperature difference of $20^{\circ} C$ .