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.

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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.
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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