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Question

A furnace is made of a red brick wall of thickness 0.5 m and conductivity 0.7 W/mK. For the same rate of heat conduction and the same temperature drop, this can be replaced by a diatomite wall of conductivity 0.14 W/mK and the same cross-sectional area. Find the thickness of the diatomite wall.

A
0.05 m
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B
0.1 m
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C
0.2 m
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D
0.5 m
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Solution

The correct option is B 0.1 m
We know that, rate of heat flow
H=KAT1T2l
From the data given in the question,
Rate of heat conduction in brick wall = Rate of heat conduction in diatomite wall
0.7×A×T1T20.5=0.14×A×T1T2l
[Given, A and T1T2 are same]
l=57×0.14=0.1 m
Thus, option (b) is the correct answer.

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