Volumetric expansion coefficients of simple materials are often well cataloged. However, the thermal expansion coefficient ß 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 wn on dry land is placed on a scale while completely immersed in formaldehyde of temperature Tj. Once the temperature increases by AT, the scale reading drops by Aw. Derive an expression for ßin terms of AT, wo, and Aw by assuming that the ratio of the density of formaldehyde pr and the initial density of the body pn is R = prlpp. Assume also that pr does not change when heated. B = If the body weighs 198.5 lb on dry land and his weight reading lowers by 0.135 lb when the formaldehyde is heated from 68.80 °F to 83.40 °F, calculate the coefficient of volume expansion of the body.* Assume R = 0.820. B = 1/°C The coefficient ß will likely vary widely from one human body to the next. The numerical value computed in this example should not be considered factual.

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Chapter1: Units, Trigonometry. And Vectors
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Volumetric expansion coefficients of simple materials are often well cataloged. However, the thermal expansion coefficient ß 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 wn 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 ßin terms of AT, wn, and Aw by assuming that the ratio of the density of formaldehyde pr and the
initial density of the body pn is R = prlpo. Assume also that pr does not change when heated.
B =
If the body weighs 198.5 lb on dry land and his weight reading lowers by 0.135 Ib when the formaldehyde is heated from
68.80 °F to 83.40 °F, calculate the coefficient of volume expansion of the body.* Assume R = 0.820.
B =
1/°C
* The coefficient ß will likely vary widely from one human body to the next. The numerical value computed in this example
should not be considered factual.
Transcribed Image Text:Volumetric expansion coefficients of simple materials are often well cataloged. However, the thermal expansion coefficient ß 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 wn 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 ßin terms of AT, wn, and Aw by assuming that the ratio of the density of formaldehyde pr and the initial density of the body pn is R = prlpo. Assume also that pr does not change when heated. B = If the body weighs 198.5 lb on dry land and his weight reading lowers by 0.135 Ib when the formaldehyde is heated from 68.80 °F to 83.40 °F, calculate the coefficient of volume expansion of the body.* Assume R = 0.820. B = 1/°C * The coefficient ß will likely vary widely from one human body to the next. The numerical value computed in this example should not be considered factual.
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