A composite plane wall consists of a L, = 75 mm thick layer of insulation ( k; = 0.05 W/m-K) and a L, = 25 mm thick layer of siding (k; = 0.10 W/m-K). The inner temperature of the insulation is 20°C. The outer temperature of the siding is -10°C. Steady state conditions apply. Determine the temperature at the interface between the two layers, in °C, and the rate of heat transfer through the wall, in W per m? of surface area.
A composite plane wall consists of a L, = 75 mm thick layer of insulation ( k; = 0.05 W/m-K) and a L, = 25 mm thick layer of siding (k; = 0.10 W/m-K). The inner temperature of the insulation is 20°C. The outer temperature of the siding is -10°C. Steady state conditions apply. Determine the temperature at the interface between the two layers, in °C, and the rate of heat transfer through the wall, in W per m? of surface area.
College Physics
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Determine the temperature at the interface between the two layers, in ºC.
![**Composite Plane Wall Problem**
A composite plane wall consists of:
- A \( L_i = 75 \, \text{mm} \) thick layer of insulation (\( k_i = 0.05 \, \text{W/m} \cdot \text{K} \))
- A \( L_s = 25 \, \text{mm} \) thick layer of siding (\( k_s = 0.10 \, \text{W/m} \cdot \text{K} \))
The inner temperature of the insulation is \( 20^\circ \text{C} \). The outer temperature of the siding is \( -10^\circ \text{C} \).
Steady state conditions apply. Determine:
1. The temperature at the interface between the two layers, in \( ^\circ \text{C} \).
2. The rate of heat transfer through the wall, in W per m² of surface area.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc262d38-8642-4292-8f86-e10c24c29ddb%2Fbf8212b8-7315-471f-b5d9-aa0eedb7524c%2Fw4jhxxj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Composite Plane Wall Problem**
A composite plane wall consists of:
- A \( L_i = 75 \, \text{mm} \) thick layer of insulation (\( k_i = 0.05 \, \text{W/m} \cdot \text{K} \))
- A \( L_s = 25 \, \text{mm} \) thick layer of siding (\( k_s = 0.10 \, \text{W/m} \cdot \text{K} \))
The inner temperature of the insulation is \( 20^\circ \text{C} \). The outer temperature of the siding is \( -10^\circ \text{C} \).
Steady state conditions apply. Determine:
1. The temperature at the interface between the two layers, in \( ^\circ \text{C} \).
2. The rate of heat transfer through the wall, in W per m² of surface area.
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