A building with an internal volume of is to be heated by a
Chapter 5, Problem 188P(choose chapter or problem)
A building with an internal volume of \(400 \mathrm{~m}^{3}\) is to be heated by a \(30-\mathrm{kW}\) electric resistance heater placed in the duct inside the building. Initially, the air in the building is at \(14^{\circ} \mathrm{C}\), and the local atmospheric pressure is \(95 \mathrm{kPa}\). The building is losing heat to the surroundings at a steady rate of \(450 \mathrm{~kJ} / \mathrm{min}\). Air is forced to flow through the duct and the heater steadily by a 250 - W fan, and it experiences a temperature rise of \(5^{\circ} \mathrm{C}\) each time it passes through the duct, which may be assumed to be adiabatic.
(a) How long will it take for the air inside the building to reach an average temperature of \(24^{\circ} \mathrm{C}\) ?
(b) Determine the average mass flow rate of air through the duct.
Equation Transcription:
14°C
5°C
24°C
Text Transcription:
400 m^3
14 degree celsius
95 kPa
450 kJ/min
5 degree celsius
24 degree celsius
250-W
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