Consider an apartment in a tower block as a cube of side L = 7.77 m. Since this apartment is designed to be rented by a student, it has no windows. The floor and ceiling are perfectly insulated, but the wall is made of concrete of thickness d = 15.0 cm. The thermal conductivity of the concrete is k = 0.610 Wm¯'K¯'. Part 1) The outside temperature is stable at Tout conditioner if the occupant wants to keep the inside temperature stable at Tin 37.2°C. What is the heat load (rate of heat transfer) on the air 18.0°C? %3D P = kW Part 2) A layer of insulation of thickness dins = 43.7 mm and thermal conductivity kins -1 = 0.0254 Wm¯'K¯ is added to the walls. What is the heat load now? P = kW Part 3) The occupant complains that the apartment is dank and dark, so the landlord is forced to install windows and a door. These are constructed, but then drafts from the gaps around the windows and doors allow the air in the apartment to change every 2 hours. How much additional heat load does changing this air add. The specific heat of air is c = 1.0 kJkg"K and the density of air is p = 1.0kgm -3 AP = kW

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Chapter2: Steady Heat Conduction
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Consider an apartment in a tower block as a cube of side L = 7.77 m. Since this apartment is designed to be rented
by a student, it has no windows. The floor and ceiling are perfectly insulated, but the wall is made of concrete of
thickness d = 15.0 cm. The thermal conductivity of the concrete is k = 0.610 Wm¯'K-.
Part 1)
The outside temperature is stable at Tout
conditioner if the occupant wants to keep the inside temperature stable at Tin
= 37.2°C. What is the heat load (rate of heat transfer) on the air
18.0°C?
P =
kW
Part 2)
A layer of insulation of thickness dins
= 43.7 mm and thermal conductivity kins = 0.0254 Wm¬K¯ is added to
the walls. What is the heat load now?
P =
kW
Part 3)
The occupant complains that the apartment is dank and dark, so the landlord is forced to install windows and a door.
These are constructed, but then drafts from the gaps around the windows and doors allow the air in the apartment to
change every 2 hours. How much additional heat load does changing this air add. The specific heat of air is
c = 1.0 kJkgK and the density of air is p = 1.0kgm¯³.
AP =
kW
Transcribed Image Text:Consider an apartment in a tower block as a cube of side L = 7.77 m. Since this apartment is designed to be rented by a student, it has no windows. The floor and ceiling are perfectly insulated, but the wall is made of concrete of thickness d = 15.0 cm. The thermal conductivity of the concrete is k = 0.610 Wm¯'K-. Part 1) The outside temperature is stable at Tout conditioner if the occupant wants to keep the inside temperature stable at Tin = 37.2°C. What is the heat load (rate of heat transfer) on the air 18.0°C? P = kW Part 2) A layer of insulation of thickness dins = 43.7 mm and thermal conductivity kins = 0.0254 Wm¬K¯ is added to the walls. What is the heat load now? P = kW Part 3) The occupant complains that the apartment is dank and dark, so the landlord is forced to install windows and a door. These are constructed, but then drafts from the gaps around the windows and doors allow the air in the apartment to change every 2 hours. How much additional heat load does changing this air add. The specific heat of air is c = 1.0 kJkgK and the density of air is p = 1.0kgm¯³. AP = kW
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