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A wood stove heats a small cabin with the following dimensions 8 m x 6 m x 3 m (length x width x height) to 25°C. Of the heat generated by burning wood, 60% is lost up the chimney. The cabin also loses heat through walls, ceiling and floor. Assume that all sides of the house except the floor are insulated with a 10 cm thick polyethylene foam layer having a thermal conductivity htc = 0.038 W/(m•°C). The heat loss through the floor is 1/5 of the heat loss through the ceiling. Outside air is at -5°C. a) How much heat is lost in total from the ceiling, walls, and floor? b) How many kg of wood per hour is needed as fuel for the cabin to maintain its temperature if heat value of wood is AH = 18,000 kJ/kg?

A wood stove heats a small cabin with the following dimensions 8 m x 6 m x 3 m (length x width x height) to 25°C. Of the heat generated by burning wood, 60% is lost up the chimney. The cabin also loses heat through walls, ceiling and floor. Assume that all sides of the house except the floor are insulated with a 10 cm thick polyethylene foam layer having a thermal conductivity htc = 0.038 W/(m•°C). The heat loss through the floor is 1/5 of the heat loss through the ceiling. Outside air is at -5°C. a) How much heat is lost in total from the ceiling, walls, and floor? b) How many kg of wood per hour is needed as fuel for the cabin to maintain its temperature if heat value of wood is AH = 18,000 kJ/kg?

Elements Of Electromagnetics
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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A wood stove heats a small cabin with the following dimensions 8 m x 6 m x 3 m (length x width x height) to 25°C. Of the heat generated by burning wood, 60% is lost up the chimney. The cabin also loses heat through walls, ceiling and floor. Assume that all sides of the house except the floor are insulated with a 10 cm thick polyethylene foam layer having a thermal conductivity htc = 0.038 W/(m•°C). The heat loss through the floor is 1/5 of the heat loss through the ceiling. Outside air is at -5°C. a) How much heat is lost in total from the ceiling, walls, and floor? b) How many kg of wood per hour is needed as fuel for the cabin to maintain its temperature if heat value of wood is AH = 18,000 kJ/kg?

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