ELEM PRINC CHEM (LL) W/EBOOK
ELEM PRINC CHEM (LL) W/EBOOK
4th Edition
ISBN: 9781119846772
Author: FELDER
Publisher: WILEY
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Chapter 2, Problem 2.16P
Interpretation Introduction

(a)

Interpretation:

To show: The given equation gives reasonable results for h=0, h=r and h=2r

Concept introduction:

The mathematical expression for the volume of benzene in the drum is given by:

V=L[r2cos1(rhr)(rh)r2(rh)2]

Where,

V = Volume of benzene L =Length of the drum r =Radius of the drum h =Level of the benzene in the drum

Interpretation Introduction

(b)

Interpretation:

The mass of the benzene in the tank for the given case.

Concept introduction:

The expression for the volume of benzene in the drum is given as,

   V=L[r2cos1(rhr)(rh)r2(rh)2]

Where,

V = Volume of benzene L = Length of the drum r = Radius of the drum h = Level of the benzene in the drum

In addition, Density is defined as,

ρ=mV

Where,

ρ=Densitym=Mass

V = volume

Interpretation Introduction

(c)

Interpretation:

A relationship between the mass of benzene and the liquid height of benzene in the tank by plotting graph between mass of benzene and level of benzene.

Concept introduction:

On combining the density formula and expression for the volume of benzene in the drum we get:

m=ρ×V=ρ×L[r2cos1(rhr)(rh)r2(rh)2]

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