A wood stove is used to heat a single room. The stove is cylindrical in shape, with a diameter of 40.0 cm and a length of 49.0 cm, and operates at a temperature of 420°F. (σ = 5.6696  10-8 W/m2 · K4, 1 Btu = 1054 J.) (a) If the temperature of the room is 70.0°F, determine the amount of radiant energy delivered to the room by the stove each second if the emissivity is 0.930.  ________________ W (b) If the room is a square with walls that are 8.00 ft high and 30.0 ft wide, determine the R-value needed in the walls and ceiling to maintain the inside temperature at 70.0°F if the outside temperature is 32.0°F. 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.  _________________ ft2 · °F · h/Btu

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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A wood stove is used to heat a single room. The stove is cylindrical in shape, with a diameter of 40.0 cm and a length of 49.0 cm, and operates at a temperature of 420°F. (σ = 5.6696  10-8 W/m2 · K4, 1 Btu = 1054 J.)

(a) If the temperature of the room is 70.0°F, determine the amount of radiant energy delivered to the room by the stove each second if the emissivity is 0.930.
 ________________ W

(b) If the room is a square with walls that are 8.00 ft high and 30.0 ft wide, determine the R-value needed in the walls and ceiling to maintain the inside temperature at 70.0°F if the outside temperature is 32.0°F. 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.
 _________________ ft2 · °F · h/Btu
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