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Two metal A and B of …

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Two metal A and B of the same size are arranged as shown in figure.the extreme ends of the combination are maintained at the indicated temperature.the arrangement is thermally insulated.the cofficient of thermal conductivity of A and B are 300w/m°c and 200w/m°c respectively.after a steady state is reached, what will be the temperature of the interface?
  • 1 answers

Preeti Dabral 1 year, 10 months ago

In the steady-state,
Rate of flow of heat through cube A
= Rate of flow of heat through cube B.
or {tex}\frac{K_{1} A(100-T)}{x}=\frac{K_{2} A(T-0)}{x}{/tex}
or {tex}\frac{300 A(100-T)}{x}=\frac{200 A(T-0)}{x}{/tex}
or 300 - 3T = 2T or 5T = 300
T = 60°C

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