A wood stove is used to heat a single room. The stove is cylindrical in shape, with adiameter of D = 0.400 m and a length of L = 0.500 m, and operates at a temperatureof T, = 200 °C.(a) If the temperature of the room is T, = 20°C, determine the amount of radiantenergy delivered to the room by the stove each second if the emissivity of thestove is e = 0.920.(b) By definition, the R-value of a conducting slab is given byAtot(Th – To)PoondR =where Atot is the total surface area, Pcond is the power loss by conduction throughthe slab, Th and Te are the temperatures on the hotter and cooler sides of theslab. If the room has a square shape with walls of height H = 2.40 m and widthW = 7.60 m, determine the R-value of the walls and ceiling required to maintainthe room temperature at T = 20°C if the outside temperature is T, = 0°C.Note that we are ignoring any heat conveyed by the stove via convection and anyenergy lost through the walls and windows via convection or radiation.

Solution: Given Data: D=0.4 mL=0.5 mTa=200oCTr=20oCe=0.92H=2.4 mw=7.6 mTo=0oC To Find: (a) Amount…

A wood stove is used to heat a single room. The stove is cylindrical in shape, with a diameter of D = 0.400 m and a length of L=0.500 m, and operates at a temperature of T, = 200 °C. (a) If the temperature of the room is T, = 20°C, determine the amount of radiant energy delivered to the room by the stove each second if the emissivity of the stove is e = 0.920.

A wood stove is used to heat a single room. The stove is cylindrical in shape, with a diameter of D = 0.400 m and a length of L=0.500 m, and operates at a temperature of T, = 200 °C. (a) If the temperature of the room is T, = 20°C, determine the amount of radiant energy delivered to the room by the stove each second if the emissivity of the stove is e = 0.920.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A wood stove is used to heat a single room. The stove is cylindrical in shape, with a
diameter of D = 0.400 m and a length of L = 0.500 m, and operates at a temperature
of T, = 200 °C.
(a) If the temperature of the room is T, = 20°C, determine the amount of radiant
energy delivered to the room by the stove each second if the emissivity of the
stove is e = 0.920.
(b) By definition, the R-value of a conducting slab is given by
Atot(Th – To)
Poond
R =
where Atot is the total surface area, Pcond is the power loss by conduction through
the slab, Th and Te are the temperatures on the hotter and cooler sides of the
slab. If the room has a square shape with walls of height H = 2.40 m and width
W = 7.60 m, determine the R-value of the walls and ceiling required to maintain
the room temperature at T = 20°C if the outside temperature is T, = 0°C.
Note that we are ignoring any heat conveyed by the stove via convection and any
energy lost through the walls and windows via convection or radiation.

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