Sep 18, 2017

# A RIGID RESIDENTIAL SPACE IS AT A TEMPERATURE OF 0°C (WHICH EQUALS THE AMBIENT TEMPERATURE). A…

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A rigid residential space is at a temperature of 0°C (which equals the ambient temperature). A gas heater is used to deliver air at a constant temperature of 40°C. This air is constantly circulated. However, air also leaks into a house from the outside and leaves the house at the same temperature of the house. Heat is lost from the walls, floor, and ceiling of the space to the ambient at a rate of 3 kW. The net air equivalent mass inside the house is 400 kg. What should be the maximum allowable leakage flow rate so that the space can be warmed to 20°C in 15 minutes? Assume that the air mass in the space to be constant, cvo = 0.71 kJ kg–1 K, and R = 0.287 kJ kg–1 K–1. If P = constant, then mass ( = PV/RT) will decrease inside the c.v. However, in order to simplify the problem, assume that mass in the residential space is constant.

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