In modeling a skin burn from an oven, when the exposure time is short, we can approximate the skin and tissue layer to be infinitely thick. The temperature throughout the skin and tissue is uniform at 33°C before contact with the oven, and the surface layer of skin increases to the temperature of the oven, 200°C, instantaneously upon contact. Consider that skin becomes damaged when it reaches 62 °C. Find the depth of the damaged layer of skin after 2 seconds of exposure to the oven temperature. The thermal conductivity, density, and specific heat of the skin are 0.586 W/(m*K), 1050 kg/m3, and 3763 J/(kg*K), respectively.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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In modeling a skin burn from an oven, when the exposure time is short, we can approximate the skin and tissue layer to be infinitely thick. The temperature throughout the skin and tissue is uniform at 33°C before contact with the oven, and the surface layer of skin increases to the temperature of the oven, 200°C, instantaneously upon contact. Consider that skin becomes damaged when it reaches 62 °C. Find the depth of the damaged layer of skin after 2 seconds of exposure to the oven temperature. The thermal conductivity, density, and specific heat of the skin are 0.586 W/(m*K), 1050 kg/m3, and 3763 J/(kg*K), respectively.

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