Quantitative Chemical Analysis
Quantitative Chemical Analysis
9th Edition
ISBN: 9781464135385
Author: Daniel C. Harris
Publisher: W. H. Freeman
Question
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Chapter 5, Problem 5.EE

a)

Interpretation Introduction

Interpretation:

The least squares slope and intercept and their standard deviations and the theoretical value has to be calculated.

Concept Introduction:

LINEST:

The LINEST is a Microsoft excel function which is uses the least squares method to measure the statistics for a straight line and array describing that line it is built-in function that can be categorized.

LINEARITY:

It is measure of how well a calibration curve follows a straight line and displaying that the response is proportional to the quantity of the analyte.

R2=[(xi-x-)(yi-y-)]2(xi-x-)2(yi-y-)2

Where R means square of correlation coefficient.

Standard additions to one solution:

The graph can be drawn using the equation

plotIS+X(VV0)Functiontoplotony-axisversus IX+IX[X]i[S]i(VSV0)functiontoplotonx-axis

Where X-intercept is [X]i

b)

Interpretation Introduction

Interpretation:

The standard uncertainty ux for the peak ratio has to be calculated.

Concept Introduction:

LINEST:

The LINEST is a Microsoft excel function which is uses the least squares method to measure the statistics for a straight line and array describing that line it is built-in function that can be categorized.

LINEARITY:

It is measure of how well a calibration curve follows a straight line and displaying that the response is proportional to the quantity of the analyte.

R2=[(xi-x-)(yi-y-)]2(xi-x-)2(yi-y-)2

Where R means square of correlation coefficient.

Standard additions to one solution:

The graph can be drawn using the equation

plotIS+X(VV0)Functiontoplotony-axisversus IX+IX[X]i[S]i(VSV0)functiontoplotonx-axis

Where X-intercept is [X]i

c)

Interpretation Introduction

Interpretation:

The value of 95% confidence interval and 1 degree freedom has to be calculated.

Concept Introduction:

LINEST:

The LINEST is a Microsoft excel function which is uses the least squares method to measure the statistics for a straight line and array describing that line it is built-in function that can be categorized.

LINEARITY:

It is measure of how well a calibration curve follows a straight line and displaying that the response is proportional to the quantity of the analyte.

R2=[(xi-x-)(yi-y-)]2(xi-x-)2(yi-y-)2

Where R means square of correlation coefficient.

Confidence Intervals:

The confidence interval is given by the equation:

Confidence interval = x¯±tsn       =x¯±tux (since standard uncertainty(ux)=s/n

Where,

x¯ is mean

s is standard deviation

t is Student’s t

n is number of measurements

ux is standard uncertainty

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