EBK ELEMENTARY PRINCIPLES OF CHEMICAL P
EBK ELEMENTARY PRINCIPLES OF CHEMICAL P
4th Edition
ISBN: 9781119192107
Author: BULLARD
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 3, Problem 3.15P
Interpretation Introduction

(a)

Interpretation:

Calculate the body weight and the body volume of the man.

Concept introduction:

Archimedes’ Principle is defined as:

The upward buoyant force that is exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces or weight of the body immersed in a fluid.

This can be rewritten as,

Buoyant force (up) = Weight of block (down)

The specific gravity of the liquid is 0.996.

Interpretation Introduction

(b)

Interpretation:

Assume the body can be divided into nonfat and fat components. Derive an expression for the ratio of the mass of fat to mass of the whole body.

Concept introduction:

Assume the body can be divided into nonfat and fat components and the following notations are defined,

Fraction of total body mass that is fat = xf

Average density of the whole body = ρb

Density of the fat component = ρf

Density of the nonfat component = ρnf

Mass of the fat component = mf

Mass of the body = mb

Volume of the fat component = Vf

Volume of the body = Vb

This problem can be solved by, first derive expressions for the three densities then eliminate volumes algebraically so you can approach the final answer.

Interpretation Introduction

(c)

Interpretation:

Calculate the fraction of fat in a human body for the given case.

Concept introduction:

Assume the body can be divided into nonfat and fat components. The fraction of fat can be calculated using the following relationship.

xf=1/ρb1/ρnf1/ρf1/ρnf

Where,

Fraction of total body mass that is fat = xf

Average density of the whole body = ρb

Density of the fat component = ρf

Density of the nonfat component = ρnf

Interpretation Introduction

(d)

Interpretation:

Improve the estimation of xf for the given case.

Concept introduction:

Assume the body can be divided into nonfat and fat components. The fraction of fat can be calculated using the following relationship.

xf=1/ρb1/ρnf1/ρf1/ρnf

Where,

Fraction of total body mass that is fat = xf

Average density of the whole body = ρb

Density of the fat component = ρf

Density of the nonfat component = ρnf

The above relationship includes the gas in tract, sinuses and lungs. The total volume is 1.4 liters. Assume that the mass of gas is negligible.

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Chapter 3 Solutions

EBK ELEMENTARY PRINCIPLES OF CHEMICAL P

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