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)...

See similar textbooks

Similar questions

Assume a person has lungs that can hold V = 5.5 L of air (at 1 atm), and their body temperature is currently T = 35.5° C. a. How many moles of air does the average human have in their lungs when they breath in?
A 2.6 kg lump of aluminum is heated to 96°C and then dropped into 10.0 kg of water at 5.0°C. Assuming that the lump-water system is thermally isolated, what is the system's equilibrium temperature? Assume the specific heats of water and aluminum are 4186 and 900 J/kg-K, respectively. Number Units the tolerance is +/-2%
The data In the following table are from a constant volume gas thermometer experiment. The volume of the gas was kept constant, while the temperature was changed. The resulting pressure was measured. TC) P(atm) 1.00 107 1.37 20 100 -33 -196 0.88 0.28 Based on these data, estimate the value of absolute zero in Celslus by plotting the data on a pressure vs. temperature dlagram. °C
Suppose 2.23 g of neon gas is stored in a tank at a temperature of 166 degree Celsius. (a) What is the temperature of the gas on the Kelvin scale? (b) How many moles of gas are in the tank?
0.0035 mol of gas undergoes the process shown in . (B) What is the initial temperature? (C) What is the final temperature?
I.C 02/A/ Use the Crank-Nicolson method to solve for the temperature distribution of a long thin rod with a length of 10 cm and the following values: k = 0.49 cal/(s cm °C), Ax = 2 cm, and At = st 0.1 s. Initially the temperature of the rod is 0°C and the boundary conditions are fixed for all times at 7(0, t) = 100°C and 7(10, t) = 50°C. Note that the rod is aluminum with C = 0.2174 cal/g °C) and p = 2.7 g/cm³. List the tridiagonal system of equations and determined the temperature up to 0.1 s.
n, A thermometer is taken from a room where the temperature is 24°C| to the outdoors, where the temperature is –12°C.. After one minute the thermometer reads 11°C. (a) What will the reading on the thermometer be after 4 more minutes? (b) When will the thermometer read –11°C? minutes after it was taken to the outdoors.
Problem 2: The enthalpy of a system is given by the equation H = U + PV where U is the internal energy, P = pressure, and V = volume. In addition, the internal energy, U = Q + W where Q is the heat and W is the work. Suppose we want to find the rate of change in the enthalpy at constant pressure of 1.25 atm, what is the value when heat is absorbed by the system at a rate of 45 J/s and work is done by the system at a rate of 100 J/s when the change of volume is rated at 35 x 105 m/s? 1. What is the change in heat with respect to time? 2. What is the change in internal energy of the system with respect to time? 3. What is the change in enthalpy of the system with respect to time?
A mass m of a metal with heat capacity CM at initial temperature T is added to the volume V of a liquid with density p and heat capacity c₁ at initial temperature T₁. What is the final temperature of the system?
In everyday experience, the measures of temperature most often used are Fahrenheit F and Celsius C. Recall that the relationship between them is given by the following formula. F = 1.8C + 32 Physicists and chemists often use the Kelvin temperature scale. You can get kelvins K from degrees Celsius by using the following formula. K = C + 273.15 (a) Calculate that value.K(25) = (b) Find a formula expressing the temperature C in degrees Celsius as a function of the temperature K in kelvins. C = (c) Find a formula expressing the temperature F in degrees Fahrenheit as a function of the temperature K in kelvins. F = (d) What is the temperature in degrees Fahrenheit of an object that is 272 kelvins?
A silver block, initially at 56.9 ∘C∘C, is submerged into 100.0 gg of water at 24.1 ∘C∘C, in an insulated container. The final temperature of the mixture upon reaching thermal equilibrium is 27.4 ∘C∘C. What is the mass of the silver block? Express your answer to two significant figures and include the appropriate units.
On a chilly 10°C day, you quickly take a deep breath—all your lungs can hold, 4.0 L. The air warms to your body temperature of 37°C. If the air starts at a pressure of 1.0 atm, and you hold the volume of your lungs constant (a good approximation) and the number of molecules in your lungs stays constant aswell (also a good approximation), what is the increase in pressure inside your lungs?