Quantitative Chemical Analysis
Quantitative Chemical Analysis
9th Edition
ISBN: 9781464135385
Author: Daniel C. Harris
Publisher: W. H. Freeman
Question
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Chapter 4, Problem 4.HE

(a)

Interpretation Introduction

Interpretation:

Using the spreadsheet, the equation of the least-squares straight line passing through the given points has to be found out with a reasonable number of significant figures.

Concept Introduction:

Equation of a line:

The equation of straight line is:

y=mx+by=[m(±um)]x+[b(±ub)]

Standard deviation of y: sy

The standard deviation of y is:

σysy=(di2)n2

Standard uncertainty of slope and intercept:

The standard uncertainty of slope is:

um2=sy2nD

The standard uncertainty of intercept is:

ub2=sy2(xi2)D

To Give: The equation of the least-squares straight line passing through the given points with a reasonable number of significant figures using the spreadsheet.

(b)

Interpretation Introduction

Interpretation:

A graph showing the experimental data and the calculated straight line should be drawn.

To Draw: A graph showing the experimental data and the calculated straight line

(c)

Interpretation Introduction

Interpretation:

Using the spreadsheet, the number of micrograms of unknown protein sample and its uncertainty has to be calculated.

Concept Introduction:

Uncertainty with a Calibration Curve:

Propagation for the equation y=mx+b (but not y=mx) gives,

The standard uncertainty in x is given as:

ux=sy|m|1k+1n+(yy¯)2m2(xix¯)2

Where,

ux is standard uncertainty for x

y is the corrected absorbance of unknown

xi is the mass of sample in standards

y¯ is the average of y values

x¯ is the average of x values

To Calculate: The number of micrograms of unknown protein sample and its uncertainty using the spreadsheet.

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