A slab consists 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 10 0 ∘ C and that of copper at 0 ∘ C , the temperature of the interface is

Question

A slab consists 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 10 0 ∘ C and that of copper at 0 ∘ C , the temperature of the interface is, 8 0 ° C, 2 0 ° C, 6 0 ° C, 4 0 ° C

MARKS App · Accepted Answer

We know that d Q d t = K A θ 2 - θ 1 d As slabs are in series, therefore ⇒ K 1 θ 1 – θ C = K 2 θ C – θ 2 ⇒ 4 K 100 – θ = K θ – 0 ⇒ 400 - 4 θ = θ ⇒ θ = 80 ° C

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