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For a given amount of heat transfer rate during steady state one-dimensional heat conduction through a plane wall – with constant thermal conductivity and no internal heat generation – the higher the value of thermal conductivity of the wall, the temperature gradient within the wall will be:


1. higher
2. lower
3. same
4. dependent on ambient conditions

1 Answer

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Best answer
Correct Answer - Option 2 : lower

Explanation:-

Fourier’s law of heat conduction as

\(Q = - kA\frac{{dT}}{{dx}}\)

where

k = thermal conductivity of the material, A = area normal to the direction of heat transfer  

dT/dx = temperature gradient

If the rate of  heat transfer is the same 

k↑ ⇒ dT/dx ↓ 

i.e. As the thermal conductivity increases, temperature gradient decreases.

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