Sustainable Energy
Sustainable Energy
1st Edition
ISBN: 9781133108689
Author: Richard A. Dunlap
Publisher: Cengage Learning
Question
Chapter 8, Problem 1P
To determine

Find the power radiated by a woodstove.

Expert Solution & Answer
Check Mark

Answer to Problem 1P

The power radiated by a woodstove is 3.7kW¯.

Given information:

The size of the woodstove is 65cm×55cm×85cm.

The surface temperature (T) is 120°C.

The emissivity ε is 1.

Calculation:

Find the surface area of the woodstove.

A=2×H×D+2×H×B+2×D×B=2×65×55+2×65×85+2×55×85=27,550cm2=2.755m2

Convert the surface temperature from Degree Celsius to Kelvin:

120°C=120°C+273K=393K

Consider the Stephen Boltzmann constant σ is 5.67×108Wm2K4.

Find the surface radiation (P):

P=AεσT4=2.755m2×1×5.67×108Wm2K4×393K4=3,726W3.7kW

Thus, the power radiated by a woodstove is 3.7kW¯.

Explanation of Solution

Given information:

The size of the woodstove is 65cm×55cm×85cm.

The surface temperature (T) is 120°C.

The emissivity ε is 1.

Calculation:

Find the surface area of the woodstove.

A=2×H×D+2×H×B+2×D×B=2×65×55+2×65×85+2×55×85=27,550cm2=2.755m2

Convert the surface temperature from Degree Celsius to Kelvin:

120°C=120°C+273K=393K

Consider the Stephen Boltzmann constant σ is 5.67×108Wm2K4.

Find the surface radiation (P):

P=AεσT4=2.755m2×1×5.67×108Wm2K4×393K4=3,726W3.7kW

Thus, the power radiated by a woodstove is 3.7kW¯.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A stove element draws 15 A when connected to a 240-V line. How long does it take to consume 60 kJ .
A 75 gal. electric hot water heater provides 9000 Watts of power to heat water. If the heater is filled with water at an initial temperature of 50ºF, how long will it take for the water to reach 140ºF? Assume that there are no heat losses.
A heat pump supplies heat energy to a house at the rate of 140,000 kJ/h when the house is maintained at 25°C. Over a period of one month, the heat pump operates for 100 hours to transfer energy from a heat source outside the house to inside the house. Consider a heat pump receiving heat from two different outside energy sources. In one application the heat pump receives heat from the outside air at 0°C. In a second application the heat pump receives heat from a lake having a water temperature of 10°C. If electricity costs $0.105/kWh, determine the maximum money saved by using the lake water rather than the outside air as the outside energy source.
Knowledge Booster
Similar questions
    Recommended textbooks for you
  • Sustainable Energy
    Civil Engineering
    ISBN:9781337551663
    Author:DUNLAP, Richard A.
    Publisher:Cengage,
    Engineering Fundamentals: An Introduction to Engi...
    Civil Engineering
    ISBN:9781305084766
    Author:Saeed Moaveni
    Publisher:Cengage Learning
  • Sustainable Energy
    Civil Engineering
    ISBN:9781337551663
    Author:DUNLAP, Richard A.
    Publisher:Cengage,
    Engineering Fundamentals: An Introduction to Engi...
    Civil Engineering
    ISBN:9781305084766
    Author:Saeed Moaveni
    Publisher:Cengage Learning