Chemistry - Introduction to analytical chemistry

Intrduction : 

Analytical chemistry facilitates investigation chemical composition of substances. It uses the instruments and methods to separate, identify and quantify the matter under study. The analysis thus provides chemical or physical information about a sample. Analysis may be qualitative or quantitative. Qualitative analysis is concerned with the detection of the presence or absence of elements in compounds and of chemical compounds in mixtures. Quantitative analysis deals with the determination of the relative proportions of elements in compounds and of chemical compounds in mixtures.

Analysis : 

Analysis is carried out on a small sample of the material to be tested, and not on the entire bulk. When the amount of a solid or liquid sample is a few grams, the analysis is called semi-microanalysis. It is of two types : qualitative and quantitative. Classical qualitative analysis methods include separations such as precipitation, extraction
and distillation. Identification may be based
on differences in colour, odour, melting point, boiling point, and reactivity. Classical quantitative methods consist of volumetric
analysis, gravimetric analysis, etc.

The branch of chemistry which deals with the study of seperation, identification, qualitative and quantitative determination of the  compositions of different substances, is called analytical chemistry.

Importance of analytical chemistry :

The course of analytical chemistry extends the knowledge acquired by the students in studying general, inorganic and organic chemistry. Chemical analysis is one of the most important methods of monitoring the composition of raw materials, intermediates and finished products, and also the composition of air in streets and premises
of industrial plants. In agriculture, chemical
analysis is used to determine the compostion
of soils and fertilizers; in medicine, to
determine the composition of medicinal
preparations.Analytical chemistry has
applications in forensic science, engineering
and industry. Industrial process as a whole and
the production of new kinds of materials are
closely associated with analytical chemistry.
Analytical chemistry consists of classical, wet
chemical methods and modern instumental
methods

Chemical methods of qualitative analysis: 

Chemical analysis of a sample is carried out mainly in two stages : by the dry method in which the sample under test is not dissolved and by the wet method in which the sample under test is first dissolved and then analyzed to determine its composition. The dry method is usually used as preliminary tests in the qualititative analysis. The semi-micro qualitative analysis is carried out using apparatus such as : test tubes, beakers, evaporating dish, crucible, spot plate, watch glass, wire guaze, water bath, burner, blow pipe, pair of tongues, centrifuge, etc.

The qualitative analysis of organic and
inorganic compounds involves different types
of tests. The majority of organic compounds
are composed of a relatively small number
of elements. The most important ones are :
carbon, hydrogen, oxygen, nitrogen, sulphur,
halogen, phosphorous. Elementary qualitative
analysis is concerned with the detection of the
presence of these elements. The identification
of an organic compound involves tests such as
detection of functional group, determinition
of melting/ boiling point, etc. The qualitative
analysis of simple inorganic compounds
involves detection and confirmation of cationic and anionic species (basic and acidic radical)
in them.

Chemical methods of quantitative analysis: 

Quantitative analysis of organic compounds involves methods such as 

(i) determination of percentage constituent element.
(ii)concentrations of a known compound in the given sample, etc.

Quantitative analysis of simple inorganic
compounds involves methods based on,
(i)decomposition reaction (gravimetric analysis).
(ii) the progress of reaction between two
solutions till its completion (titrametric or
volumetric analysis), etc. 
The quantitative analytical methods involve measurement of quantities such as mass and volume, by mean of some equipment/ apparatus such as weighing machine, burette.

Mathematical operation and error analysis : 

The accuracy of measurement is of a great concern in analytical chemistry. Also there can be intrinsic errors in the analytical measurement. The numerical data, obtained
experimentally, are treated mathematically to
reach some quantitative conclusion. Therefore,
an anlytical chemist has to know how to report
the quantitative analytical data, indicating
the extent of the accuracy of measurement,
perform the mathematical operation and
properly express the quatitative error in the
result. In the following subsection we will
consider these aspects related to measurments
and calculation.

Scientific notation (exponential notation) :

A chemist has to deal with numbers as large as 602,200,000,000, 000, 000, 000, 000 for the molecules of 2 g of hydrogen gas or as small as 0.00000000000000000000000166g. that is, mass of a H atom. To avoid the writing of so many zeros in mathematical operations, scientific notations i.e. exponential notations are used. Here, any number can be represented into a form N x 10n where 'n' is an exponent having positive or negative values and N can vary between 1 to 10. Thus, we can write the above values as 6.022 x 1023 and 1.66 x 10- 24 g. The number 123.546 becomes 1.23546 x 102, in scientific notation. Note that while writing it, we have moved the decimal to the left by two places and same is the exponent (2) of 10 in the scientific notation. Similarly, 0.00015 can be written as 1.5 x 10-4.

Precision and accuracy of measurement :

Aim of any measurement is to get the
actual value called true value or accepted
value of a quantity. Nearness of the measured
value to the true value is called the accuracy of
measurement. Larger the accuracy smaller the
error. Accuracy depends upon the sensitivity
or least count (the smallest quantity that can
be measured) of the measuring quuipment.
consider, for example, a burette reading of
10.2 mL. For all the three situations in the
Figure, The reading would be noted is 10.2
mL It means that there is an uncertainty about
the digit appearing after the decimal point in
the reading 10.2 mL. This is because the least
count of the burette is 0.1 mL. The meaning
of the reading 10.2 mL is that the true value
of the reading lies between 10.1 mL and 10.3
mL. This is indicated by writing 10.2 ± 0.1
mL. Here, the burette reading has an error of ±
0.1mL.

Errors may be expressed as absolute or
relative error.

Absolute error = Observed value - True value
Relative error is generally a more useful
quantity than absolute error. Relative error is
the ratio of an absolute error to the true value.
It is expressed as a percentage.

Relative error = Absolute error/True value * 100 %
There can be error in a measurement due
to a number of reasons including inefficiency
of the person doing measurement.

Three possibilities of a burette reading 10.2 mL

Multiple readings of the same quantity
are noted to minimize the error. If the
readings match closely, they are said to
have high precision. High percision implies
reproducibility of the readings. High precision
is a prerequisit for high accuracy. Precision
is expressed in terms of deviation. An absolute
deviation is the modulus of the difference
between an observed value and the arithmetic
mean for the set of several measurements made in the same way. It is a measure of absolute error in the repeated observation.
Absolute deviation = Observed value - Mean

Arithmetic mean of all the absolute
deviations is called the mean absolute
deviation in the measurements. The ratio of
mean absolute deviation to its arithmentic
means is called relative deviation.

Significant Figures : 

Uncertainty in measured value leads to uncertainty in calculated result. Uncertainty in a value is indicated by mentioning the number of significant figures in that value. Consider, the column reading 10.2 ± 0.1 mL recorded on a burette having the least count of 0.1 mL. Here it is said that the last digit ‘2’ in the reading is uncertain, its uncertainty is ±0.1 mL. On the other hand, the figure ‘10’ is certain. The significant figures in a measurement or result are the number of digits known with certainty plus one uncertain digit. In a scientific experiment a result is obtained by doing calculation in which values of a number of quantities measured with equipment of different least counts are used. 

Rules for deciding significant figures :

1. All non zero digits are significant; e. g. 
127.34 g contains five significant figures 
which are 1, 2, 7, 3 and 4. 

2. All zeros between two non zero digits are 
significant e. g. 120.007 m contains six 
significant figures.

3. Zeroes on the left of the first non zero digit 
are not significant. Such a zero indicates the 
position of the decimal point. For example, 
0.025 has two significant figures, 0.005 has 
one significant figure.

4. Zeroes at the end of a number are significant if they are on the right side of the decimal point. 

Terminal zeros are not significant if there is no decimal point. (This is beacause the least count 
of an instrument contains decimal point) 

5. In numbers written is scientific notation, all 
digits are significant. For example, 2.035×102 
has four significant figures, and 3.25 × 10-5 has 
three significant figures.