A person of surface area 1.80 m^2 is lying out in the sunlight to get a tan. If the intensity of

step 1 Question number 63. The total incident radiation eye is given as 700 watt per meter square. 57 %

A person of surface area 1.80 m^2 is lying out in the...

A person of surface area $1.80 \mathrm{m}^{2}$ is lying out in the sunlight to get a tan. If the intensity of the incident sunlight is $7.00 \times 10^{2} \mathrm{W} / \mathrm{m}^{2},$ at what rate must heat be lost by the person in order to maintain a constant body temperature? (Assume the effective area of skin exposed to the Sun is $42 \%$ of the total surface area, $57 \%$ of the incident radiation is absorbed, and that internal metabolic processes contribute another $90 \mathrm{W}$ for an inactive person.)

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Key Concepts

Energy Balance in Biological Systems

This concept refers to the state in which the energy gained by a living organism, from processes such as metabolic activity and external sources like solar radiation, is equal to the energy lost, primarily through mechanisms like heat dissipation. In maintaining constant body temperature, the energy input must be balanced by an equal rate of heat loss.

Radiative Heat Transfer

Radiative heat transfer involves the emission or absorption of energy in the form of electromagnetic waves, such as sunlight. The intensity of the radiation and the area over which it is absorbed determine the total energy received, making it essential for calculating the heat input from the sun.

Effective Absorption Fraction

Not all incident energy is absorbed by a surface; some is reflected or transmitted. The effective absorption fraction represents the proportion of the incident radiation that is actually absorbed by the surface. This concept is key in understanding how much of the incoming energy contributes to heating.

Effective Surface Area Exposure

This refers to the specific portion of an object's total surface area that is exposed to an external energy source, such as sunlight. It is crucial in determining the actual area over which energy is absorbed, which in turn affects the total energy gain.

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