Answer:
The rate of heat loss through the wall is 1700 watts.
Explanation:
The complete statement of the problem is:
<em>The wall of an industrial furnace is constructed from 0.15-m-thick, fireclay brick having a thermal conductivity of 1.7 W/m·K. Measurements made during steady state operation reveal temperatures of 1400 and 1150 K at the inner and outer sur- faces, respectively. What is the rate of heat loss through a wall that is 0.5 m by 1.2 m on a side?</em>
Given that wall of the industrial furnace is under steady conditions of heat transfer and whose configuration is a flat element, we use the equation of conductive heat transfer rate (
), measured in watts:

Where:
- Thermal conductivity, measured in watts per meter-Kelvin.
- Width of the wall, measured in meters.
- Height of the wall, measured in meters.
- Thickness of the wall, measured in meters.
- Inner surface temperature, measured in Kelvin.
- Outer surface temperature, measured in Kelvin.
If we know that
,
,
,
,
and
, the steady state heat transfer is:
![\dot Q = \left[\frac{\left(1.7\,\frac{W}{m\cdot K} \right)\cdot (1.2\,m)\cdot (0.5\,m)}{0.15\,m} \right]\cdot (1400\,K-1150\,K)](https://tex.z-dn.net/?f=%5Cdot%20Q%20%3D%20%5Cleft%5B%5Cfrac%7B%5Cleft%281.7%5C%2C%5Cfrac%7BW%7D%7Bm%5Ccdot%20K%7D%20%5Cright%29%5Ccdot%20%281.2%5C%2Cm%29%5Ccdot%20%280.5%5C%2Cm%29%7D%7B0.15%5C%2Cm%7D%20%5Cright%5D%5Ccdot%20%281400%5C%2CK-1150%5C%2CK%29)

The rate of heat loss through the wall is 1700 watts.