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A box shaped wooden stove has dimensions of 0.75 m *1.2 m*0.4 m. An emissity of 0.85 and surface temperature of 205 degrees Celsius. Calculate it's rate of radiation into surrounding space

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onyebuchinnaji

The rate of radiation into surrounding space of the box shaped wooden stove at a temperature of 205 degrees Celsius is 8,453.82 J/s.

Rate of radiation of the wooden stove

The rate of radiation of the wooden stove is calculated as follows;

P =  εAσT4

Where:  

  • ε is emissivity of the Surface
  • A is surface Area
  • σ is Stefan-Boltzmann Constant, 5.67 x 10⁻⁸ W/m²K⁴
  • T is temperature in Kelvin, 205 ⁰C = 205 + 273 = 478 K

Surface area of the box

A = 2(Lw + Lh + Wh)

A = 2(0.75 x 1.2  +   0.75 x 0.4   + 1.2 x 0.4)

A = 3.36 m²

P = 0.85 x 3.36 x (5.67 x 10⁻⁸) x (478)⁴

P = 8,453.82 J/s

Thus, the rate of radiation into surrounding space of the box shaped wooden stove at a temperature of 205 degrees Celsius is 8,453.82 J/s.

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