Write a numerical expression for the emissive intensity (in W/m^2.sr) coming out of a tiny hole in an enclosure of surface temperature 1000K

Question

Write a numerical expression for the emissive intensity (in W/m^2.sr) coming out of a tiny hole in an enclosure of surface temperature 1000K and emissivity 0.6:

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Maris 4 years 2021-08-11T22:25:24+00:00 1 Answers 3 views 0

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  1. thienthanh
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    2021-08-11T22:26:28+00:00
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    Answer:

    6.0 × 10^{11} W/m^{2}

    Explanation:

    From Wien’s displacement formula;

    Q = e AT^{4}

    Where: Q is the quantity of heat transferred, e is the emissivity of the surface, A is the area, and T is the temperature.

    The emissive intensity = \frac{Q}{A} = eT^{4}

    Given from the question that: e = 0.6 and T = 1000K, thus;

    emissive intensity = 0.6 × (1000)^{4}

                                 = 0.6 × 1.0 × 10^{12}

                                 = 6.0 × 10^{11} \frac{W}{m^{2} }

    Therefore, the emissive intensity coming out of the surface is 6.0 × 10^{11} W/m^{2}.

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