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Question

Heat is conducted at steady state through a solid wall with temperature gradient of 5/cm. The thermal conductivity of solid being 22.5WmK. If the heat is exchanged by radiation from surface to the surroundings at 30C. The surface temperature of solid wall is

A
829.4 K
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B
674.4K
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C
474.7K
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D
538.9 K
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Solution

The correct option is B 674.4K
k=22.5WmKTx=5C/cm=5×100C/mk.Tx=σ(T4T4α)(22.5)×(5×100)=5.67×108(T4(303)4)T=674.4 K

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