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Question
A slab consist of two parallel layers of copper and brass of the same thickness and having thermal conductivities in the ratio 1 : 4. If the free face of brass is at 100°C and that of copper at 0°C, the temperature of interface is ______.
Options
80°C
20°C
60°C
40°C
MCQ
Fill in the Blanks
Solution
A slab consist of two parallel layers of copper and brass of the same thickness and having thermal conductivities in the ratio 1 : 4. If the free face of brass is at 100°C and that of copper at 0°C, the temperature of interface is 80°C.
Explanation:
100 – T°C = `"R"_"B"/("R"_"B"+"R"_"C")xx[100-0]`
⇒ T = 100 `["R"_"C"/("R"_"B"+"R"_"C")]`
We know that R = `1/"KA"`
T = `(1/"K"_"C")/(1/"K"_"B"+1/"K"_"C")`100
= `1/("K"_"C"/"K"_"B"+1)xx100` `("Where" "K"_"C"/"K"_"B"=1/4)`
= `4/5xx100`
= 80°C
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Heat Transfer
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