# Conductometry - Pharmaceutical Analysis 1 B. Pharma 1st semester

Conductometry

Contents

• Conductometry

• Principle involved

• Measurement of conductivity

• Pros and cons of conductometric titrations

• Precautions to be taken

• Procedure

• Comparison of potentiometry vs conductometry

• Applications

Objectives

By the end of this session, students will be able to:

• Define conductometry

• Define and explain the principle involved in conductometric titrations

• Discuss the pros and cons Conductometry

• Explain precautions to be taken for conductometric titrations

• Brief the applications of conductometric titrations

Conductometry

• Measurement of conductivity of a solution

• Due to mobility of cations and anions towards respective electrodes

• Conductivity (C) is inversely proportional to resistance (R) of a solution

C = 1/R

• Unit of conductivity is mhos or ohms-1

• Conductivity of a solution depends upon-

o   Number of ions (concentration)

o   Charge of ions

o   Size of ions

o   Temperature

• Resistance of a solution is given by

R = E/I

Where E = potential difference

I = current which flows through

Unit of resistance (R) is ohms

Potential difference (E) is volts

Current (I) is amperes

• Resistance of a solution depends upon length (l) and cross resistance (a) of the conductor through which conductivity takes place

R = ρl/a

• ρ is specific resistance

Specific resistance (ρ) is the resistance offered by a substance of 1cm length and 1 sq.cm surface area, Unit of measurement is ohm cm

Specific conductivity (kv) is the conductivity offered by a substance of 1cm length and 1 sq.cm surface area, Unit of measurement is mhos cm-1

Equivalent conductivity (λv) is the conductivity of a solution containing equivalent weight of the solute between electrodes 1 cm and 1 sq.cm, Unit of measurement is mhos cm-1

• Molar conductivity (μv) is the conductivity of a solution containing molecular weight of the solute between electrodes 1 cm apart and 1 sq.cm surface area

• Molar conductivity = specific conductivity x volume of solution containing one molecular weight of the electrolyte

Measurement of Conductivity

• Conductivity may be measured by applying an alternating electrical current (I) to two electrodes immersed in a solution and measuring the resulting voltage (V)

• Cations migrate to the negative electrode, the anions to the positive electrode and the solution acts as an electrical conductor

• Conductivity is typically measured in aqueous solutions of electrolytes/ ions

• For the actual determination of conductivity, we need

• Wheatstone bridge circuit and Conductivity cell

• Conductivity cells are of different types

• Made up of platinum and coated with platinum black

• If the electrodes are old, platinisation can be done be done by using 3% solution of chloroplatinic acid and 0.02-0.03% of lead acetate to get uniform coating

• Different electrodes used depends upon the conductivity of the solution is high or low

• Commonly used are platinum electrodes

• Wheatstone bridge circuit consists of

• Standard resistance in one of its arms

• Other arm contains a conductivity cell (platinum electrode) dipped into the solution whose conductivity is to be determined

• Galvanometer shows the deflection of standard resistance with that of resistance of unknown solution

• R2/R1 = Resistance of BC/ Resistance of BA

• R2 is resistance of unknown solution

• R1 is standard resistance

• R2 = BC/BA x R1

• Conductivity of unknown solution = BA/BC x R1

• Observed conductivity is not always the specific conductivity

• Dimensions of the platinum electrode of various manufacturers are not same

• Distance between the electrodes and surface area of electrodes varies

• Value of cell constant to be calculated

• Cell constant (x) = l/a

• Where l = distance between electrodes

• a = area of electrode

• Relation between specific conductivity and observed conductivity can be derived as R = ρl/a

• R/ρ = l/a

• x = R/ρ = 1/observed conductivity / 1/specific conductivity

• x = R/ρ = specific conductivity / observed conductivity

• Specific conductivity = x * observed conductivity

• Specific conductivity = cell constant x observed conductivity

• Determination of cell constant

• Cell constant of a conductivity cell is determined by measuring the conductivity of a known strength of potassium chloride at specific temperature

• Conductivity of 0.02 KCl at 25 0C, cell constant is

• 2765/ observed conductivity of 0.02 KCl at 25 0C in µmhos

• Conductivity of 0.01 KCl at 25 0C, cell constant is

• 1221/ observed conductivity of 0.02 KCl at 25 0C in µmhos

Conductometric Titrations

• End point determination by conductivity measurements

• Conductivity solution depends on

• Change in number of ions

• Mobility of ions

• Graph of conductivity vs volume of titrant added

Pros

• Determination of specific conductivity is not required

• Not necessary to use conductivity water

• No indicator is required

• Titrations can be done with colored or dilute or turbid solutions

• Incompletion at end point doesn’t affect results as measurements before and after end point are sufficient

• End point is determined graphically, errors are minimized and can get accurate end point

• Cell constant need not be determined provided the same electrode is used throughout the experiment

• Temperature need not be known provided it is maintained constant throughout the titration

Apparatus required

• Titration vessel (beaker)

• Stirrer for mixing

• Automatic or manual burette to deliver titrant

• Conductivity meter with a conductivity cell (platinum electrode)

Procedure

• Conductivity is measured in millimhos or micromhos

• Titrant is added in small increments like 0.5 ml – 1.0 ml

• Solution is mixed properly and conductivity readings are taken

• Readings were taken before and after end point

• Graph is plotted- conductivity vs volume of titrant added

• Point of intersection is found

• Corresponds to end point or volume of titrant required to neutralize the reactants or sample present in titration vessel

Precautions to be taken

• Initial volume of titrating substance and final volume after titration are not same

• Conductivity measurements made during titration are subject to error

• Correction factor is included to know actual conductivity

• Actual conductivity = observed conductivity X (𝑖𝑛𝑖𝑡𝑖𝑎𝑙 𝑣𝑜𝑙𝑢𝑚𝑒 + 𝑣𝑜𝑙.𝑜𝑓 𝑡𝑖𝑡𝑟𝑎𝑛𝑡 𝑎𝑑𝑑𝑒𝑑 /𝑖𝑛𝑖𝑡𝑎𝑙 𝑣𝑜𝑙𝑢𝑚𝑒)

• Temperature should be maintained constant

• Heat of neutralization may affect the temperature and it effects the conductivity of solution

Acid base Titrations

Strong acid vs Strong base

• HCl + NaOH à NaCl + H2O

• HCl in beaker as titrate- high conductivity

• Strong acid- dissociation is complete

• After the end point, when all the H+ has reacted- addition of NaOH increases the concentration of OH- ions – conductivity starts increasing

• First part of curve shows steep fall in conductivity because of decrease in H+ ions

• Second part of curve shows gradual increase because of increase in OH- ions Strong Acid vs Weak Base

Strong Acid vs Weak Base

• HCl + NH4OH à NH4Cl + H2O

• HCl in beaker as titrate- high conductivity

• Strong acid- dissociation is complete

• After the end point, when all the H+ has reacted- addition of NH4OH   doesn’t cause increase in the concentration of OH- ions

• Poor dissociation- conductivity remains constant

• First part of curve shows steep fall in conductivity because of decrease in H+ ions

• Second part of curve shows plateau

Weak Acid vs Strong Base

• CH3COOH + NaOH à CH3COONa + H2O

• CH3COOH in beaker as titrate- initial conductivity is low

• Weak acid- doesn’t dissociate into H+ ions

• NaOH is added as titrant – slight increase in conductivity till end point

• After the end point, addition of NaOH causes increase in the concentration of OH- ions

• Conductivity starts to increase steeply

• First part of curve shows gradual increase

• Second part of curve shows steep increase because of increase in OH- ions

Weak Acid vs Weak Base

• CH3COOH + NH4OH à CH3COONH4 + H2O

• CH3COOH in beaker as titrate- initial conductivity is low

• Weak acid- doesn’t dissociate into H+ ions

• NH4OH is added as titrant – ammonium acetate salt has better conductivity gradually increases after every addition

• After the end point, when all the CH3COOH has reacted addition of NH4OH causes no increase in the conductivity

• Plateau is obtained

• First part of curve shows gradual increase in conductivity because of ammonium acetate salt

• Second part of curve shows plateau because or poor dissociation of NH4OH

Comparison

 Potentiometric titration Conductometric titration Parameter measured Potential in mv Conductivity in mhos Parameter not necessary Potential of reference electrode Cell constant At end point Rate of change of potential is maximum Sharp change in conductivity occurs End point determination Normal curve, first derived curve, second derivative curve End point shown by intersection of two lines Strength of titrant Same as that of titrate 5 or 10 times stronger than titrate Dependency Temperature dependent Temperature dependent

Applications

• Solubility of sparingly soluble salts- silver chloride, barium sulfate, lead sulfate

• Ionic product of water

• Basicity of organic acids- number of carboxylic groups present in the molecule- tartaric acid, oxalic acid

• Purity of water- specific conductivity of pure water is 5 x 10-8 ohm-1 cm-1

• Quantitative analysis

• Salinity of sea water

• Equilibrium in ionic reactions- progress of ionic reactions can be determined

Summary

• Measurement of conductivity of a solution- Due to mobility of cations and anions towards respective electrodes

• Resistance of a solution depends upon length (l) and cross resistance (a) of the conductor through which conductivity takes place

• Conductivity may be measured by applying an alternating electrical current (I) to two electrodes immersed in a solution and measuring the resulting voltage (V)

• Cations migrate to the negative electrode, the anions to the positive electrode and the solution acts as an electrical conductor

• Observed conductivity is not always the specific conductivity

Conductivity solution depends on

Change in number of ions

Mobility of ions

Graph of conductivity vs volume of titrant added

• Conductivity is measured in millimhos or micromhos