Q 3. A 5-m-long section of an air heating system of a house passes through an unheated space in the basement. The cross section of the rectangular duct of the heating system is 20 cm x 25 cm. Hot air enters the duct at 100 kPa and 60°C at an average velocity of 5 m/s. The temperature of the air in the duct drops to 54°C as a result of heat loss to the cool space in the basement. Determine the rate of heat loss from the air in the duct to the basement under steady conditions. Also, determine the cost of this heat loss per hour if the house is heated by a natural gas furnace that has an efficiency of 80 percent, and the cost of the natural gas in that area is $0.60/therm (1 therm = 100,000 Btu = 105,500 kJ). Your solution must state governing equations and associated assumptions, illustration and step by step execution of the overall solution.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q 3. A 5-m-long section of an air heating system of a house passes through an unheated space in the
basement. The cross section of the rectangular duct of the heating system is 20 cm x 25 cm. Hot air enters
the duct at 100 kPa and 60°C at an average velocity of 5 m/s. The temperature of the air in the duct drops
to 54°C as a result of heat loss to the cool space in the basement. Determine the rate of heat loss from
the air in the duct to the basement under steady conditions. Also, determine the cost of this heat loss per
hour if the house is heated by a natural gas furnace that has an efficiency of 80 percent, and the cost of
the natural gas in that area is $0.60/therm (1 therm = 100,000 Btu = 105,500 kJ).
Your solution must state governing equations and associated assumptions, illustration and step by step
execution of the overall solution.
Transcribed Image Text:Q 3. A 5-m-long section of an air heating system of a house passes through an unheated space in the basement. The cross section of the rectangular duct of the heating system is 20 cm x 25 cm. Hot air enters the duct at 100 kPa and 60°C at an average velocity of 5 m/s. The temperature of the air in the duct drops to 54°C as a result of heat loss to the cool space in the basement. Determine the rate of heat loss from the air in the duct to the basement under steady conditions. Also, determine the cost of this heat loss per hour if the house is heated by a natural gas furnace that has an efficiency of 80 percent, and the cost of the natural gas in that area is $0.60/therm (1 therm = 100,000 Btu = 105,500 kJ). Your solution must state governing equations and associated assumptions, illustration and step by step execution of the overall solution.
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