Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The rate at which radiant energy from the sun reaches the earth's upper atmosphere is about 1.50 $\mathrm{kW} / \mathrm{m}^{2}$ . The distance from the earth to the sun is $1.50 \times 10^{11} \mathrm{m},$ and the radius of the sun is $6.96 \times 10^{8} \mathrm{m}$ (a) What is the rate of radiation of energy per unit area from the sun's surface? (b) If the sun radiates as an ideal black-body, what is the temperature of its surface?

(a) $7.0 \times 10^{4} k W . m^{-2}$(b) 5920.4 $\mathrm{K}$

Physics 101 Mechanics

Chapter 17

Temperature and Heat

Cornell University

Rutgers, The State University of New Jersey

McMaster University

Lectures

03:40

The rate at which radiant …

07:37

05:58

04:44

The Sun radiates energy at…

01:51

$\cdots$ At the top of Ear…

01:05

At what rate does the Sun…

02:01

The surface of the Sun has…

01:28

01:52

04:43

The Sun radiates like a pe…

the radiant power at the cuts surfaced. You to the sun is the same elevated power that is emitted by the sun so that if I want R one squared is equal to a I to r to script. Where I want is the intensity at the Earth's atmosphere and then are one is the distance from the sun to the earth. I two is the energy flux at the substance of sun and are too is the radius of the sun. So, firstly, about a we want to calculate this energy flux of the surface of the sun or this intensity so intensity of aviation to is equal to If you re arrange above equation one point size, I'm standing pretty. What a square meter, which is I won into on point size times 10 our 11 m, which is the distance from up to the sun over six by 96 times 10 to the 8 m, which is the radius off son. And doing this, we get the energy flux at the surface of the sun to me. Six 0.9 seven I m stand to the power seven. What's the square meter? And this energy flunks is rate of radiation per unit area H over eight So upon me we would use the equation. The radiation rate H is equal to the surface area of the sun. I am a 70 e, but black menace taken bottom constant times temperature t to the power for So if you want to country the temperature of the surface of the sun, we can really inspiration and salt cheap. We were used in this case, the immensity of the sun to be one. Assuming that it's a black body, 30 is equal to H over a wall, right separately, multiplied by one or sigma to the power one full. The fourth root. And the reason that each over a by itself is because we calculate each of a as the energy flux the surface of the sun temperature off the substance the sun is equal to. Now it's up to our values here. Inch over a recount created to be six when 97 times, 10 to the policy. Seven. That's what's this great needs Sigma. Step on, both from Clinton. We know it's 75.67 times 10 to the minus eight. What's we're Nita Calvin to the full All this hold one before. If we compute this, we get timber jobs themselves in the sun to be 5900 and 20 tell

View More Answers From This Book

Find Another Textbook

Numerade Educator

03:38

On a cool $\left(4,0^{\circ} \mathrm{C}\right)$ Saturfay moming, a pilot fil…

13:40

22.67. A region in space contains a total positive charge $Q$ that is distri…

03:24

24.19. In Fig. $24.26, C_{1}=3.00 \mu F$ and $V_{a b}=120 \mathrm{V} .$ The …

08:07

Two identical spheres are each attached to silk threads of length $L=0.500$ …

01:53

24.21. Two parallel-plate vacuum capacitors have areas $A_{1}$ and $A_{2}$ a…

01:38

A block of balsa wood placed in one scale pan of an equal-arm balance is exa…

05:20

Three negative point charges lie along a line as shown in Fig. 21.40 . Find …

01:30

22.45. Concentric Spherical Shells. A small conducting spherical shell with …

04:00

24.5. A $10.0-\mu \mathrm{F}$ paralle-plate capacitor with circular plates i…

05:06

A Styrofoam bucket of negligible mass contains 1.75 $\mathrm{kg}$ of water a…