<< Chapter < Page Chapter >> Page >

Summary

  • Radiation is the rate of heat transfer through the emission or absorption of electromagnetic waves.
  • The rate of heat transfer depends on the surface area and the fourth power of the absolute temperature:
    Q t = σ e A T 4 , size 12{ { {Q} over {t} } =σ`e`A`T rSup { size 8{4} } } {}

    where σ = 5 .67 × 10 8 J/s m 2 K 4 is the Stefan-Boltzmann constant and e size 12{e} {} is the emissivity of the body. For a black body, e = 1 whereas a shiny white or perfect reflector has e = 0 , with real objects having values of e between 1 and 0. The net rate of heat transfer by radiation is

    Q net t = σ e A T 2 4 T 1 4 size 12{ { {Q rSub { size 8{"net"} } } over {t} } =σ`e`A` left (T rSub { size 8{2} } rSup { size 8{4} } - T rSub { size 8{1} } rSup { size 8{4} } right )} {}

    where T 1 size 12{T rSub { size 8{1} } } {} is the temperature of an object surrounded by an environment with uniform temperature T 2 size 12{T rSub { size 8{2} } } {} and e size 12{e} {} is the emissivity of the object .

Conceptual questions

When watching a daytime circus in a large, dark-colored tent, you sense significant heat transfer from the tent. Explain why this occurs.

Got questions? Get instant answers now!

Satellites designed to observe the radiation from cold (3 K) dark space have sensors that are shaded from the Sun, Earth, and Moon and that are cooled to very low temperatures. Why must the sensors be at low temperature?

Got questions? Get instant answers now!

Why are cloudy nights generally warmer than clear ones?

Got questions? Get instant answers now!

Why are thermometers that are used in weather stations shielded from the sunshine? What does a thermometer measure if it is shielded from the sunshine and also if it is not?

Got questions? Get instant answers now!

On average, would Earth be warmer or cooler without the atmosphere? Explain your answer.

Got questions? Get instant answers now!

Problems&Exercises

At what net rate does heat radiate from a 275 -m 2 size 12{"275""-m" rSup { size 8{2} } } {} black roof on a night when the roof’s temperature is 30. C and the surrounding temperature is 15. C size 12{"15" "." 0°C} {} ? The emissivity of the roof is 0.900.

21 . 7  kW size 12{ - "21" "." 7`W} {}
Note that the negative answer implies heat loss to the surroundings.

Got questions? Get instant answers now!

(a) Cherry-red embers in a fireplace are at 850º C and have an exposed area of 0 . 200  m 2 and an emissivity of 0.980. The surrounding room has a temperature of 18 . C . If 50% of the radiant energy enters the room, what is the net rate of radiant heat transfer in kilowatts? (b) Does your answer support the contention that most of the heat transfer into a room by a fireplace comes from infrared radiation?

Got questions? Get instant answers now!

Radiation makes it impossible to stand close to a hot lava flow. Calculate the rate of heat transfer by radiation from 1 . 00  m 2 of 1200º C fresh lava into 30 . C surroundings, assuming lava’s emissivity is 1.00.

266  kW size 12{ - "266"`"kW"} {}

Got questions? Get instant answers now!

(a) Calculate the rate of heat transfer by radiation from a car radiator at 110 ° C into a 50.0º C environment, if the radiator has an emissivity of 0.750 and a 1.20 -m 2 surface area. (b) Is this a significant fraction of the heat transfer by an automobile engine? To answer this, assume a horsepower of 200 hp 1.5 kW and the efficiency of automobile engines as 25%.

Got questions? Get instant answers now!

Find the net rate of heat transfer by radiation from a skier standing in the shade, given the following. She is completely clothed in white (head to foot, including a ski mask), the clothes have an emissivity of 0.200 and a surface temperature of 10 . C , the surroundings are at 15 . 0ºC size 12{ - "15" "." "0°C"} {} , and her surface area is 1 . 60 m 2 size 12{1 "." "60"`m rSup { size 8{2} } } {} .

36 . 0  W size 12{ - "36" "." 0`W} {}

Got questions? Get instant answers now!

Suppose you walk into a sauna that has an ambient temperature of 50 .0ºC . (a) Calculate the rate of heat transfer to you by radiation given your skin temperature is 37 .0ºC , the emissivity of skin is 0.98, and the surface area of your body is 1 .50 m 2 . (b) If all other forms of heat transfer are balanced (the net heat transfer is zero), at what rate will your body temperature increase if your mass is 75.0 kg?

Got questions? Get instant answers now!

Questions & Answers

summarize halerambos & holbon
David Reply
the Three stages of Auguste Comte
Clementina Reply
what are agents of socialization
Antonio Reply
sociology of education
Nuhu Reply
definition of sociology of education
Nuhu
what is culture
Abdulrahim Reply
shared beliefs, values, and practices
AI-Robot
What are the two type of scientific method
ogunniran Reply
I'm willing to join you
Aceng Reply
what are the scientific method of sociology
Man
what is socialization
ogunniran Reply
the process wherein people come to understand societal norms and expectations, to accept society's beliefs, and to be aware of societal values
AI-Robot
scientific method in doing research
ogunniran
defimition of sickness in afica
Anita
Cosmology
ogunniran
Hmmm
ogunniran
list and explain the terms that found in society
REMMY Reply
list and explain the terms that found in society
Mukhtar
what are the agents of socialization
Antonio
Family Peer group Institution
Abdulwajud
I mean the definition
Antonio
ways of perceived deviance indifferent society
Naomi Reply
reasons of joining groups
SAM
to bring development to the nation at large
Hyellafiya
entails of consultative and consensus building from others
Gadama
World first Sociologist?
Abu
What is evolutionary model
Muhammad Reply
Evolution models refer to mathematical and computational representations of the processes involved in biological evolution. These models aim to simulate and understand how species change over time through mechanisms such as natural selection, genetic drift, and mutation. Evolutionary models can be u
faruk
what are the modern trends in religious behaviours
Selekeye Reply
what are social norms
Daniel Reply
shared standards of acceptable behavior by the group or appropriate behavior in a particular institution or those behaviors that are acceptable in a society
Lucius
that is how i understood it
Lucius
examples of societal norms
Diamond
Discuss the characteristics of the research located within positivist and the interpretivist paradigm
Tariro Reply
what is Industrialisation
Selekeye Reply
industrialization
Angelo
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply
Practice Key Terms 5

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'College physics for ap® courses' conversation and receive update notifications?

Ask