Question

Radiation heat transfer: Two perfectly black surfaces (each with emissivity ε = 1.0) are constructed such...

Radiation heat transfer: Two perfectly black surfaces (each with emissivity ε = 1.0) are constructed such that all the radiant energy leaving a surface at 800 °C (1073 K) reaches the other surface. The temperature of the other surface, with area A = 2 m2, is maintained at 250 °C (523 K).

Using the formula

Q = ε σ A (THot4 – TCold4)

calculate the heat transfer (in kW) of the surface maintained at 800 °C. The Stefan-Boltzmann constant, σ = 5.670 × 10−8 W/m2 · K4, and the temperatures used are in degrees Kelvin, K) (Select the one best answer from the choices given below.)

a. 70.9 kW

b. 142 kW

c. 284 kW

d. 568 kW

e. 1140 kW

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