Physics

Problem

A square metal plate of side

0.40\,\text{m}

behaves like an ideal black surface. It is maintained at

1200\,\text{K}

in a large room whose walls are at

300\,\text{K}

. a. (a) Calculate the rate at which the plate emits thermal radiation at this temperature. Use

\sigma = 5.67 \times 10^{-8}\,\text{W m}^{-2}\,\text{K}^{-4}

. b. (b) The plate is later heated so that its rate of emission becomes exactly double the value found in part (a). Determine the new steady temperature of the plate, assuming the room temperature remains

300\,\text{K}

and continues to be neglected in the calculation of emission.

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