Thermodynamics Question heat through a wall

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SUMMARY

The discussion centers on calculating the temperature difference across a wall using Fourier's Law of heat conduction. Given parameters include an area of 1 m², a wall thickness of 0.2 m, and a steady-state energy transfer rate of 0.15 kW. To find the temperature difference (T2 - T1), the thermal conductivity of the wall material is essential, which is not provided in the problem statement. Participants suggest using standard values for thermal conductivity for a "plain wall" to proceed with the calculation.

PREREQUISITES
  • Understanding of Fourier's Law of heat conduction
  • Knowledge of thermal conductivity and its significance in heat transfer
  • Familiarity with steady-state energy transfer concepts
  • Basic algebra for solving linear equations
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  • Research standard thermal conductivity values for common wall materials
  • Learn how to apply Fourier's Law in practical heat transfer problems
  • Study the concept of steady-state heat transfer and its implications
  • Explore algebraic techniques for solving linear equations in thermodynamics
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kdinser
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I'm stuck on this Thermo question dealing with heat transfer through a "plain wall"

They give us the area of the transfer A = 1 m^2
They give us the thickness of the wall L = .2 m
and they give us the rate of steady state energy transfer rate Qx = .15 kW

They then ask, if the temperature distribution is linear, what is the temperature difference across the wall in K.

I'm not sure how to get going on this one. Because they give actual numbers, I'm sure they want a real value for the number of Kalvins difference between the temperatures. I'm assuming they want me to use Fourier's Law here, but they don't give enough info to solve for (T2 - T1) directly. They don't give the value for the thermal conductivity of the wall, unless there is some standard value I'm supposed to use for a "plain wall". I seem to remember there was some kind of algebraic trick that I used to use to solve similar problems in physics, but the details escape my memory at the moment. If someone could get me started with this problem or give me hint to jog my memory, I'd appreciate it.
 
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I too need the coefficient of thermal conductivity!
 

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