Problem 6: Consider a house that has a floor space of 2000 ft² and an average height of 9 ft at 5000 ft elevation where the standard atmospheric pressure is 12.2 psia. Initially the house is at a uniform temperature of 50°F. Now the electric heater is turned on, and the heater runs until the air temperature in the house rises to an average value of 70°F. Determine the amount of energy transferred to the air assuming (a) the house is air-tight and thus no air escapes during the heating process and (b) some air escapes through the cracks as the heated air in the house expands at constant pressure.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 6:
Consider a house that has a floor space of 2000 ft² and an average height of
9 ft at 5000 ft elevation where the standard atmospheric pressure is 12.2 psia.
Initially the house is at a uniform temperature of 50°F. Now the electric heater is
turned on, and the heater runs until the air temperature in the house rises to an
average value of 70°F. Determine the amount of energy transferred to the air
assuming
(a) the house is air-tight and thus no air escapes during the heating process and
(b) some air escapes through the cracks as the heated air in the house expands at
constant pressure.
Also determine the cost of this heat for each case if the cost of electricity in that
area is $0.075/kWh.
Transcribed Image Text:Problem 6: Consider a house that has a floor space of 2000 ft² and an average height of 9 ft at 5000 ft elevation where the standard atmospheric pressure is 12.2 psia. Initially the house is at a uniform temperature of 50°F. Now the electric heater is turned on, and the heater runs until the air temperature in the house rises to an average value of 70°F. Determine the amount of energy transferred to the air assuming (a) the house is air-tight and thus no air escapes during the heating process and (b) some air escapes through the cracks as the heated air in the house expands at constant pressure. Also determine the cost of this heat for each case if the cost of electricity in that area is $0.075/kWh.
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