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 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 pf and the initial density of the body pp is R = Pelpb. Assume also that pɛ does not change when heated. B = If the body weighs 185.6 lb on dry land and his weight reading lowers by 0.135 lb when the formaldehyde is heated from 69.20 °F to 82.80 °F, calculate the coefficient of volume expansion of the body.* Assume R = 0.720.

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 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 pf and the initial density of the body pp is R = Pelpb. Assume also that pɛ does not change when heated. B = If the body weighs 185.6 lb on dry land and his weight reading lowers by 0.135 lb when the formaldehyde is heated from 69.20 °F to 82.80 °F, calculate the coefficient of volume expansion of the body.* Assume R = 0.720.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Energy transfer

The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.

Molar Specific Heat

Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)

Thermal Properties of Matter

Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.

Question

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 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 pf and the
initial density of the body Pp is R = pflpp. Assume also that pf does not change when heated.
B =
If the body weighs 185.6 lb on dry land and his weight reading lowers by 0.135 lb when the formaldehyde is heated from
69.20 °F to 82.80 °F, calculate the coefficient of volume expansion of the body.* Assume R
0.720.
ß =
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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