Answer to Question #227682 in Chemical Engineering for Lokika

Question #227682

The wall of an oven operating at 1000°C consists of two layers of different material. The inside layer of wall is built of 40cm of kaoline firebrick having k-0.08 W/m-K, surrounded by 40cm of fireclay brick having k-0,8 W/m-K. The outer side of the wall is maintained at Process Heat Transfer 50°C. What is the temperature at the interface of the layers?_____


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Expert's answer
2021-08-25T15:31:01-0400

Rth1=l1k1A=0.400.8=0.5 K/WR_{th1} =\dfrac{l_1}{k_1A}=\dfrac{0.40}{0.8} = 0.5\ K/W


Q=T1T0Rth1=1000500.5=1900WQ =\dfrac{T_1-T_0}{R_{th1}} =\dfrac{1000-50}{0.5} = 1900W


T1T0 (interface)=950°CT_1-T_0 \textsf{ (interface)}= 950°C


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