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6 March, 10:47

Assume you are a perfect blackbody at a temperature of T = 310 K. What is the rate, in watts, at which you radiate energy? (For the purposes of this problem, you may assume you are spherical with a mass of 70 kg and density equal to that of water)

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  1. 6 March, 13:14
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    P = 942.54 W

    Explanation:

    Given:

    Temperature, T = 310 K

    mass, m = 70 kg

    Now from the stefan's law,

    we have the formula

    P = σAT⁴

    where,

    P = radiate energy

    σ = Stefan's constant = 5.67 * 10⁻⁸ W / (m² K⁴)

    A = Area of the body

    Average surface area for a human body = 1.8 m²

    T = Temperature

    on substituting the values we get,

    P = 5.67 * 10⁻⁸ * 1.8 * 310⁴

    or

    P = 942.54 W
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