Bricks have a thickness of 12 cm, if an external wall of the house measures 10 mx 15m, calculate the rate of heat exchange through this wall if the inside temperature is 200C and the outside temperature is 50C.
To calculate the rate of heat exchange through the wall, we can use the formula for heat transfer known as the heat conduction equation:
Rate of Heat Transfer (Q) = (Thermal Conductivity x Area x Change in Temperature) / Thickness
1. The thermal conductivity of the brick is required. Suppose the thermal conductivity of the brick is 0.5 W/(m·K).
2. Calculate the area of the wall by multiplying the length and width of the wall: Area = 10 m x 15 m = 150 m².
3. Determine the change in temperature by subtracting the outside temperature from the inside temperature: Change in Temperature = 200°C - 50°C = 150°C.
4. Finally, plug the values into the formula to calculate the rate of heat transfer:
Q = (0.5 W/(m·K) x 150 m² x 150°C) / 0.12 m
Simplifying the equation: Q = 6250 W
Therefore, the rate of heat exchange through the wall is 6250 Watts.