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unit 18 electroanalytical methods structure 18 1 introduction objectives 18 2 ph metry definition of ph measurement of ph colourimetirc measurement of ph 18 3 electrometric measurement of ph principle ...

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                    UNIT 18    ELECTROANALYTICAL METHODS                         
                     
                    Structure  
                     
                    18.1     Introduction  
                             Objectives 
                    18.2     pH Metry  
                             Definition of pH 
                             Measurement of pH 
                             Colourimetirc Measurement of pH 
                    18.3     Electrometric Measurement of pH 
                             Principle of Potentiometry 
                             Electrodes 
                             Measurement of pH using pH Meter 
                             pH of Water and Waste Water 
                             Acid Rains and pH 
                             pH of Soils 
                    18.4     Ion Selective Electrodes  
                    18.5     Counductometry 
                             Some Basic Concepts of Conductometry 
                    18.6     The Measurement of Conductance  
                             The Wheatstone Bridge Principle 
                             Measurement of Conductance of a Solution       
                             Experimental Measurement 
                    18.7     Application of Conductometry 
                    18.8     Summary 
                    18.9     Terminal Questions 
                    18.10  Answers 
                     
                     
                    18.1  INTRODUCTION 
                     
                    Electroanalytical methods find applications in all branches of Chemistry, industries, 
                    engineering and a number of other technologies.  The possibility of the determination 
                    of low level of pollutants has prompted the use of these methods in environmental 
                    studies. 
                     
                    An electroanalytical method can be defined as one, in which the electrical response of 
                    a chemical system or sample is measured.  These methods can be classified into a 
                    number of types characterized by measuring the electrical response in terms of 
                    different electrical quantities such as: potential, current, quantity of current, resistance 
                    and voltage etc. and bear the corresponding names as potentiometry, amperometry, 
                    coulometry, conductometry and voltammetry etc.  During the past few years, there has 
                    been sudden increase in interest in electroanalytical techniques.  This is partially 
                    attributed to the development in instrumentation and partially due to the heavy 
                    demands by environmental scientists for the determination of a large number of heavy 
                    metal, organic and inorganic substances present in water and soil samples.   
                     
                    In this unit we will study how to measure pH of water and soil samples using pH 
                    metry.  We will also discuss the potentiometric measurement of concentration of ions 
                    selectively with the help of ion selective electrodes.  Then we will discuss 
                    conductometry. 
                     
                    Objectives 
                     
                    After studying this unit, you will be able to:  
                     
                    •   define pH,  
                    •   define electrode potential, 
                    •   describe the use of some electrodes, 
                                                                                                                                                     5 
                 Instrumental Methods         •   measure the pH of a solution, 
                 of Analysis                  •   define conductivity, 
                                              •   measure the conductivity of a solution, 
                                              •   apply the concept of pH metry, ion selective potentionmetry and conductivity for 
                                                  water and soil analyses 
                                               
                                              18.2  pH METRY  
                                               
                                              There is a widespread usage of electrochemical methods in general and of 
                                              potentiometric determination of pH and concentration of several ions in particular.  
                                              Measurement of pH is one of the most important and  widely used test in water 
                                              analysis.  For natural water treatment as well as for waste water treatment a large 
                                              number of reactions e.g. coagulation, disinfection, water softening, acid base 
                                              neutralisation etc. are all pH dependent.  Most of chemical laboratories are equipped 
                                              with pH meters.  Modernization of potentiometry by the development of ion selective 
                                              electrodes has increased the interest in the study of environmental samples. 
                                               
                                              The principle of potentiometry is applied to measure the potential difference in terms 
                                              of pH unit on pH scale by suitably modifying the common voltmeter to high input 
                                              impedance mV meter and such pH measurement can be termed as pH metry instead of 
                                              potentiometry. In pH metry, pH meter is used to measure the pH. Before going in 
                                              further details of potentiometric measurement of pH, let us know the basic concept of 
                                              pH. 
                                               
                                              18.2.1    Definition of pH 
                                               
                                              The hydrogen ion concentration plays an important role in many areas of chemistry 
                 A rigorous definition of     and its determination and control is of great practical value in the study of 
                 pH would obviously           environment. 
                 involve activities,           
                 accordingly:                 The shorthand notation of hydrogen ion concentration is given in terms of pH for 
                 pH  =  −log a + 
                  a         H                 'puissance de hydrogen'.   
                                               
                                              The pH value, originally formulated in 1909 by S.P. Sorensen, is defined as the 
                                              negative logarithm of hydrogen ion concentration:  
                                                               
                                                    pH = −log  [H+]                                                          ..… (18.1) 
                                                              10
                                              where [  ] represents equilibrium concentration and logarithm is taken to the base 10.  
                                              In practice 'p' preceding a variable is used to express the negative logarithm of that 
                                              variable.  Likewise, pOH is to designate the negative logarithm of hydroxyl ion 
                                              concentration. 
                                               
                                                                                     +            
                                                                                                −
                                              In aqueous solutions the product of [H ] and [OH ] is always a constant at a particular 
                                              temperature. Thus,  
                                               
                                                            +      −
                                                    KW =[H ] [OH]                                                                            ..... (18.2) 
                                               
                                                                                                                 −14     0
                                              where K is the ionic product constant of water, its value is 1 × 10   at 25 C. 
                                                      w 
                                              Taking logarithm of both sides of equilibrium of equation 18.2 and substituting 'p' for 
                                              negative logarithm we get 
                                                    pH + pOH = pK  = 14, at 250C                                         .             .… (18.3) 
                                                                     w
                                                                 +                    7       0
                                                                           −         −
                                              For pure water [H ] = [OH] = 1×10  (at 25 C), which gives the pH value of pure 
                                              water equal to 7 at this temperature. 
                                               
                  6 
                                                                                    +                 −                                                                                                                              Electroanalytical 
                                 For an acidic solution [H ] > [OH] and pH is below 7, whereas for a basic solution 
                                          −             +                                                                                                                                                                                            Methods 
                                 [OH] > [H ] and pH is above 7. 
                                  
                                                                                                    Neutral 
                                                  Acidic Range                                            Basic Range   
                                  
                                                
                                  
                                        0                                                               7                                                                         14 
                                                                                                   
                                                                                                  pH Scale                                                                         
                                  
                                 SAQ 1 
                                                                                       +
                                 Find the concentration of H  ions of a solution for which pH value is 4.5. 
                                 …………………………………………………………………………………………
                                 …………………………………………………………………………………………
                                 ………………………………………………………………………………………... 
                                  
                                 18.2.2  Measurement of pH 
                                  
                                 The pH of a solution is commonly found by the use of either an indicator or a pH 
                                 meter. Because of their accuracy and speed, pH meters have superseded the older 
                                 indicator method in many applications. However, the indicator method remain in use 
                                 because it is simple and convenient specially for field work in pollution analysis. In 
                                 next part of this section we are taking a brief description of indicators method which 
                                 also known as colorimetric method for the measurement of the pH. 
                                  
                                 18.2.3  Colorimetric Measurement of pH 
                                  
                                 For the approximate and rapid estimation of pH and in studies in non-aqueous media, 
                                 it is convenient to make use of coloured indicators.  Colorimetric measurement can be 
                                 carried out visually or photometrically. 
                                  
                                 Visual Measurement of pH 
                                  
                                 The use of coloured indicators for the visual measurement of pH is well known.  The 
                                 approximate pH of a solution can be determined by comparing its reaction with 
                                 different indicators or on papers impregnated with the indicator solution. In this 
                                 method the colour change is observed in a particular pH range.  The chief advantage is 
                                 the low cost and also the method is suitable for routine pH measurement.  A very 
                                 common example is litmus which is red below pH 5 and blue above pH 8.  The colour 
                                 changes from red to blue when pH changes from 5 to 8.  To find colour changes in a 
                                 wide range of pH, the mixtures of indicators, the so called universal indicators are to 
                                 be used.  For example, the Kolthoff universal indicator is a mixture of five indicators 
                                 and gives a conspicuous colour change within unit pH values.  The colours at different 
                                 pH values are given in Table 18.1. 
                                  
                                 Table 18.1:  Variation of colour of Kolthoff Universal Indicator with change         
                                                          in pH. 
                                  
                                   pH                             1                         2                            3                           4                           5 
                                   Colour                         R                         R-P                          R-O                         O                           Y-O 
                                   pH                             6                         7                            8                           9                           10 
                                   Colour                         L-Y                       Y-G                          G                           G-B                         V 
                                  
                                 Abbreviations:       R=Red, P=Pink, O=Orange, Y=Yellow, LY=Light Yellow,     
                                                                 G=Green, B=Blue & V=Violet                                                                                                                                                             7 
                Instrumental Methods        Photometric Measurement of pH 
                of Analysis                  
                                            The visual method for pH measurement using indicators has low accuracy due to 
                                            difficulties of light intensity estimation.  The accuracy can be increased by 
                                            instrumental means using a colorimeter or a spectrophotometer to measure the 
                                            absorbance at a particular wavelength.  Indicators are considered to behave as weak 
                                            acids or weak bases and the degree of dissociation of indicator substance depends on 
                                            hydrogen ion concentration in solution.  Consider, e.g. an indicator acid, HIn, which 
                                            dissociates as  
                                             
                                                                      +      −
                                                            HIn  ƒ   H  +  In                                           ..… (18.4) 
                  Our eyes can generally                    Colour A               Colour B 
                  detect only one colour     
                  if the ratio of the       The dissociation constant K of indicator HIn is  
                  concentration of the                                     +     -
                  two colour forms is                         K    =    [H] [In]                                       ....... (18.5).....18.6
                  10:1. Only  the colour                                   [HIn]
                  of the more 
                  concentrated form is                                                            −
                                                                                +              [In]
                  seen.                                     logK     =+log[H]log...... (18.6)
                                                                                               [HIn]
                                                                                             −
                                                                                          [In]
                                                            orpH=+pK                 log...... (18.7)
                                                                                          [HIn]
                                                     
                                                                                    −
                                            Indicator colours are indicated by the In  and HIn concentration ratio which depends 
                                            on degree of dissociation and hence the pH can be indicated by the intensity of either 
                                            colour A or colour B with the assumption that the Beer's law is obeyed.  To get 
                                            satisfactory results by photometric measurement, it is necessary to keep the indicator 
                                            concentration as small as possible. The principle of photometric measurement is 
                                            discussed in detail in Unit 19 of this course. In next section, we will take up the 
                                            principle of pH metry. 
                                             
                                            18.3  ELECTROMETRIC MEASUREMENT OF pH 
                                             
                                            The electrometric method of pH determination is based on the measurement of 
                                            potential of a pH cell, whereby the potential of a hydrogen sensitive electrode is 
                                            directly proportional to pH, and pH is defined in an operational manner on a 
                                            potentionmetric scale. 
                                             
                                            The pH meter is calibrated potentiometrically with an indicator electrode (glass) and a 
                                            reference electrode using a standard buffer. The operational pH is defined as: 
                                             
                                                                               EE−
                                                                              (      )   (      )
                                                                                (cell)(cell)
                                                                                     us
                                                            (pH)  = (pH) ±                                                         ..… (18.8) 
                                                                u       s           0.0591
                                             
                                            where 
                                             
                                            (pH)u =  potentiometrically measured pH of the sample (unknown solution) 
                                            (pH)s =  assigned pH of the standard buffer used for calibration 
                                            (E  )     =  cell potential of glass electrode and reference electrode system with 
                                               cell u
                                            unknown solution  
                                            (E )    =  cell potential of glass electrode and reference electrode system with 
                                               cell s
                                            standard buffer 
                                             
                                            In order to understand this operational definition of pH, we will take up general 
                                            principles of potentiometry. 
                                             
                                             
                 8 
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...Unit electroanalytical methods structure introduction objectives ph metry definition of measurement colourimetirc electrometric principle potentiometry electrodes using meter water and waste acid rains soils ion selective counductometry some basic concepts conductometry the conductance wheatstone bridge a solution experimental application summary terminal questions answers find applications in all branches chemistry industries engineering number other technologies possibility determination low level pollutants has prompted use these environmental studies an method can be defined as one which electrical response chemical system or sample is measured classified into types characterized by measuring terms different quantities such potential current quantity resistance voltage etc bear corresponding names amperometry coulometry voltammetry during past few years there been sudden increase interest techniques this partially attributed to development instrumentation due heavy demands scientis...

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