Quantitative Chemical Analysis
Quantitative Chemical Analysis
9th Edition
ISBN: 9781464135385
Author: Daniel C. Harris
Publisher: W. H. Freeman
Question
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Chapter 3, Problem 3.17P

(a)

Interpretation Introduction

Interpretation:

The given calculation has to be verified.

Concept Introduction:

Uncertainty for powers and roots:

For the function y=xa , the relative uncertainty in y (%ey) is a times the relative uncertainty in x (%ex)

y=xa  %ey = a(%ex)

To Verify: The given calculation

(b)

Interpretation Introduction

Interpretation:

The given calculation has to be verified.

Concept Introduction:

Exponents and logarithm:

Consider, y=logx .

Here, the absolute uncertainty in y(ey) is proportional to the relative uncertainty in x, which is ex/x

Uncertainty for logarithm:        y =1ogxey =1ln 10 xexx 0.43429 exx

To Verify: The given calculation.

(c)

Interpretation Introduction

Interpretation:

The given calculation has to be verified.

Concept Introduction:

Exponents and logarithm:

Consider, y=antilog xy=10x .

Here, the relative uncertainty in y is proportional to the absolute uncertainty in x.

Uncertainty for 10x:        y =10xeyy =(ln 10)ex 2.3026ex

To Verify: The given calculation

(d)

Interpretation Introduction

Interpretation:

The given calculation has to be verified.

Concept Introduction:

Exponents and logarithm:

Consider, y=ln x .

Here, the absolute uncertainty in y is equal to the relative uncertainty in x.

Uncertainty for natural logarithm:       y=ln xey=exx

To Verify: The given calculation

(e)

Interpretation Introduction

Interpretation:

The given calculation has to be verified.

Concept Introduction:

Uncertainty for powers and roots:

For the function y=xa , the relative uncertainty in y (%ey) is a times the relative uncertainty in x (%ex)

y=xa  %ey = a(%ex)

To Verify: The given calculation

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