Two rods, one made of copper and the other steel of the same length and cross sectional area are joined together. (The thermal conductivity of copper is 385 ~J s ⁻¹ m ⁻¹ K ⁻¹ and steel is 50 ~J s ⁻¹ m ⁻¹ K ⁻¹ .) If the copper end is held at

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Two rods, one made of copper and the other steel of the same length and cross sectional area are joined together. (The thermal conductivity of copper is 385 ~J s ⁻¹ m ⁻¹ K ⁻¹ and steel is 50 ~J s ⁻¹ m ⁻¹ K ⁻¹ .) If the copper end is held at 100^ C and the steel end is held at 0^ C , what is the junction temperature (assuming no other heat losses)?

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Correct answer: D. 88^ C

100- T R ₁ = T -0 R ₂ 100- T T = R ₁ R ₂ R = L KA R ₁ R ₂ = k ₂ k ₁ 100- T T = 50 385 = 10 77 7700-77 ~T =10 ~T 7700=87 ~T ~T = 7700 87 =88^ C

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