(a) Explanation Given Info: The thermal conductivity of the insulation layer is 0.20 W/m .K , the diameter of the sphere is 1.5 m , the thickness of the insulation is 4 cm , the temperature of inner layer of fur is 31.0 ° C and the heat loss rate is 50 W . Formula to calculate the heat current is, H = k A ( T H − T C ) L = k ( π D 2 ) ( T H − T C ) L H is the heat current. k is the thermal conductivity of the insulation layer. A is the cross sectional area of the body. T H is the temperature of inner layer of fur. T C is the temperature of outer layer of fur. D is the diameter of the sphere. L is the thickness of the fur. Substitute 0.20 W/m .K for k , 50 W for H , 1.5 m for D , 31 (b) To determine The thickness of layer of air in the fur which conduct heat at the rate of 50 W .

University Physics with Modern Physics, Volume 1 (Chs. 1-20) and Mastering Physics with Pearson eText & ValuePack Access Card (14th Edition)

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ISBN: 9780134209586

Author: Hugh D. Young

Publisher: PEARSON

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Question

Chapter 17, Problem 17.98P

(a)

To determine

The temperature at the fat inner fur boundary of the bear.

(b)

To determine

The thickness of layer of air in the fur which conduct heat at the rate of 50 W.

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Chapter 17, Problem 17.97P

Chapter 17, Problem 17.99P

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The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m . K and 0.020 W/m . K, respectively, while other tissues inside the body have conductivities of about 0.50 W/m . K. Assume that between the core region of the body and the skin surface lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. (b) Find the rate of energy loss when the core temperature is 37°C and the exterior temperature is 0°C. Assume that both a protective layer of clothing and an insulating layer of unmoving air are absent, and a body area of 2.0 m2.

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The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m · K and 0.020 W/m · K respectively, while other tissues inside the body have conductivities of about 0.50 W/m · K. Assume that between the core region of the body and the skin surface lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. Rskin m2 · K/W Rfat m2 · K/W Rtissue m2 · K/W R m2 · K/W (b) Find the rate of energy loss when the core temperature is 37°C and the exterior temperature is 0°C. Assume that both a protective layer of clothing and an insulating layer of unmoving air are absent, and a body area of 2.0 m2. W

Chapter 17 Solutions

University Physics with Modern Physics, Volume 1 (Chs. 1-20) and Mastering Physics with Pearson eText & ValuePack Access Card (14th Edition)

Ch. 17.1 - You put a thermometer in a pot of hot water and...Ch. 17.2 - Which of the following types of thermometers have...Ch. 17.3 - Prob. 17.3TYU Ch. 17.4 - In the bimetallic strip shown in Fig. 17.3a, metal...Ch. 17.5 - Prob. 17.5TYU Ch. 17.6 - You take a block of ice at 0C and add heat to it...Ch. 17.7 - A room has one wall made of concrete, one wall...Ch. 17 - Explain why it would not make sense to use a...Ch. 17 - If you heat the air inside a rigid, scaled...Ch. 17 - Many automobile engines have cast-iron cylinders...

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The temperature at the fat inner fur boundary of the bear.

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The temperature at the fat inner fur boundary of the bear.

The thickness of layer of air in the fur which conduct heat at the rate of 50 W.

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Chapter 17 Solutions