Derive an expression for ß in terms of AT, wo, and Aw by assuming that the ratio of the density of formaldehyde pf and the initial density of the body po is R = p¢lP. Assume also that pr does not change when heated.

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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.43P
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Volumetric expansion coefficients of simple materials are often well cataloged. However, the thermal expansion coefficient
B of a human body is less well known. This could affect the human body's specific gravity and, therefore, measurements of
its body-fat ratio.
Suppose that a human body of weight wo on dry land is placed on a scale while completely immersed in formaldehyde of
temperature T1- Once the temperature increases by AT, the scale reading drops by Aw.
Derive an expression for ß in terms of AT, wo, and Aw by assuming that the ratio of the density of formaldehyde ef and the
initial density of the body Po is R = Pf/pb. Assume also that pf does not change when heated.
B =
%3D
If the body weighs 237.2 lb on dry land and his weight reading lowers by 0.237 lb when the formaldehyde is heated from
63.40 °F to 82.80 °F, calculate the coefficient of volume expansion of the body.* Assume R = 0.820.
1/°C
B =
Transcribed Image Text:Volumetric expansion coefficients of simple materials are often well cataloged. However, the thermal expansion coefficient B of a human body is less well known. This could affect the human body's specific gravity and, therefore, measurements of its body-fat ratio. Suppose that a human body of weight wo on dry land is placed on a scale while completely immersed in formaldehyde of temperature T1- Once the temperature increases by AT, the scale reading drops by Aw. Derive an expression for ß in terms of AT, wo, and Aw by assuming that the ratio of the density of formaldehyde ef and the initial density of the body Po is R = Pf/pb. Assume also that pf does not change when heated. B = %3D If the body weighs 237.2 lb on dry land and his weight reading lowers by 0.237 lb when the formaldehyde is heated from 63.40 °F to 82.80 °F, calculate the coefficient of volume expansion of the body.* Assume R = 0.820. 1/°C B =
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