A partition wall has two layers of different materials A and B in contact with each other. They have the same thickness but the thermal conductivity of layer A is twice that of B . At steady state, if the temperature difference across the l

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A partition wall has two layers of different materials A and B in contact with each other. They have the same thickness but the thermal conductivity of layer A is twice that of B . At steady state, if the temperature difference across the layer B is 50 K , then the corresponding temperature difference across the layer A is

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Correct answer: C. 25 K

Let T be the junction temperature Here, K A = 2 K B , T - T B = 50 K At the steady state H A = H B ⇒ K A A T A − T L 2 = K B A T − T B L 2 ⇒ 2 K B T A - T = K B T - T B ⇒ T A - T = T - T B 2 = 50 2 = 25 K

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