Consider a 260-m2 black roof on a night when the roof’s temperature is 27.5°C and the surrounding temperature is 12.5°C. The emissivity of the roof is 0.900. At what net rate does heat radiate, in kilowatts, from the roof?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter11: Energy In Thermal Processes
Section: Chapter Questions
Problem 58AP: The surface area of an unclothed person is 1.50 m2, and his skin temperature is 33.0C. The person is...
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 Consider a 260-m2 black roof on a night when the roof’s temperature is 27.5°C and the surrounding temperature is 12.5°C. The emissivity of the roof is 0.900.

At what net rate does heat radiate, in kilowatts, from the roof? 

Expert Solution
Step 1 :Introduction

The rate at which heat radiates is calculated by using the formula P=σeATs4-T4 , where σ=5.67×10-8 J/s m2 K4 is the Stefan-Boltzmann constant , e=0.9 is the emissivity , A=260 m2 is the area , 

Surrounding temperature

Ts=12.5°C=12.5+273.15 K=285.65 K

Roof temperature .

T=27.5°C=27.5+273.15 K=300.65 K

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