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SILESIAN UNIVERSITY OF TECHNOLOGY FACULTY OF CHEMISTRY DEPARTMENT OF PHYSICAL CHEMISTRY AND TECHNOLOGY OF POLYMERS DETERMINATION OF ELECTROLYTE MOLAR CONDUCTIVITY AT INFINITE DILUTION Exercise supervisor: Krzysztof Karoń Place of exercise: room 210 LABORATORY OF PHYSICAL CHEMISTRY DETERMINATION OF ELECTROLYTE MOLAR CONDUCTIVITY AT INFINITE DILUTION 2 I. THE AIM OF THE EXERCISE The aim of the exercise is to determine the molar conductivity at infinite dilution (limiting molar conductivity) of chosen strong electrolytes. II. INTRODUCTION AND THE THEORETICAL BACKGROUND Molar conductivity Λm is the efficiency of given electrolyte electricity conduction in solution. Its units are siemens per meter per molarity, or siemens meter-squared per mole. The value of molar conductivity strongly depends on the concentration of ions, which are charge carriers in the electrolyte solution. While the electrolyte solution is being diluted its degree of dissociation and so the concentration of charge carriers increases and therefore the also increase the molar conductivity of the solution. In the infinite dilution (i.e. when the concentration of the electrolyte tends to zero) the molar conductivity reaches a limit value Λ0m , called limiting molar conductivity or conductivity at infinite dilution. The molar conductivity of strong electrolytes in high dilutions decreases linearly according to Kohlrausch equation: Λ m = Λ0m − a C (1) In this case, the limiting conductivity may be determined directly from the molar conductivity measurement. Designation by the graphical method involves the preparation of a graph. of Λm = f( C ) dependence and extrapolation to concentration of zero. In the case of weak electrolytes the molar conductivity changes in more complex way with dilution and hence conductivity boundary cannot be determined directly from the measurements. In this case the limiting conductivity can be calculated from the Kohlraucsh law of independent migration of ions: Λ0m = ν + λ0+ + ν − λ0− (2) where: λ0n – limiting molar conductivity of n-th ion νn –numer of n-th ions in solution Ionic conductivity is determined from the limiting molar conductivity of strong electrolytes using their additivity. Limiting conductivity of weak electrolytes can be calculated from the limiting conductivity of several strong electrolytes, containing the same ions. DETERMINATION OF ELECTROLYTE MOLAR CONDUCTIVITY AT INFINITE DILUTION 3 III. PROCEDURE Aparatus: Reagents: E - 316 a universal conductivity bridge Deionised water, salt given topic of the with the option of ac measurements, exercise. thermostat, conductivity cell. • Turn on the thermostat and set the temperature of 298 K • Rinse thermostated dish and electrodes several times with distilled water; for final rinse use the deionized water. • Determine the conductivity of deionized water. The resistance value should be greater than 100,000 ohms, otherwise you need to download the new deionized water. • Prepare the starting solution of specified by the teacher salt of 2.0⋅10-3 mol/dm3 concentration. The solution must be precisely prepared in volumetric flask of 250 cm3. For solution preparation use deionized water. • Prepare a series of diluted solutions of eight concentrations (0,2 ⋅10-3, 0,4⋅10-3, 0,6⋅10-3, 0,8⋅10-3... 1,6⋅10-3 mol/dm3) by measuring respectively 5, 10, 15, 20, 25, 30, 35, 40 cm3 of starting solution to the volumetric flasks of 50 cm3, and complementing the level with deionized water up to the mark. • Measure the resistance of a series of solutions beginning with the most dilute solution and finishing with the starting solution. Remember that each time while new solution is poured to the measuring vessel you should wait for a while until until the solution will reach correct temperature. • From 0.1 M solution of KCl prepare 50 cm3 of 0.001 M solution and measure its resistance in order to determine the cell constant. Electrical conductivity of 0.001 M KCl solution at a temperature of 298 K is given in the topic of this exercise. • Using the formula (4) calculate the conductivity of each solution. Due to the possibility of fluctuations in demineralized water quality its conductivity should be taken into account in the calculations: κ real = κ measured − κ water (3) Received the real conductivity values can be used to calculate the solution molar conductivity. DETERMINATION OF ELECTROLYTE MOLAR CONDUCTIVITY AT INFINITE DILUTION 4 IV. SAFETY AND WASTES UTILIZATION RULES NOTE: In the case of the undesirable contact with hazardous substance, immediately notify the teacher. Risks and safety precautions: Before starting any work read in annex the risks and safety precautions associated with the substances listed in the exercises subject Waste Treatment: Highly dilute aqueous solutions of salts used in the exercise introduce to drains. Solutions of higher concentration dispose in proper container for inorganic waste. Classification: ammonium nitrate zinc nitrate sodium nitrate potassium nitrate ammonium chloride zinc chloride copper (II) chloride potassium chloride sodium chloride calcium chloride potassium chromate sodium acetate ammonium sulfate zinc sulfate copper (II) sulfate potassium sulfate sodium sulfate ammonium thiocyanate potassium thiocyanate potassium carbonate Potassium bicarbonate oxidising substance (O) oxidising substance (O), harmful (Xn) oxidising substance (O), harmful (Xn) oxidising substance (O) harmful (Xn) corrosive (C), dangerous for the environment (N) harmful (Xn) irritant (Xi) toxic (T), dangerous for the environment (N) irritant (Xi), dangerous for the environment (N) harmful (Xn) harmful (Xn) harmful (Xn) harmful (Xn) - DETERMINATION OF ELECTROLYTE MOLAR CONDUCTIVITY AT INFINITE DILUTION 5 Risks: ammonium nitrate zinc nitrate sodium nitrate potassium nitrate ammonium chloride zinc chloride copper (II) chloride potassium chloride sodium chloride calcium chloride potassium chromate sodium acetate ammonium sulfate zinc sulfate copper (II) sulfate potassium sulfate sodium sulfate ammonium thiocyanate potassium thiocyanate potassium carbonate Potassium bicarbonate R: 8-9 Contact with combustible material may cause fire, explosive when mixed with - combustible material R: 8-22-36/37/38 Contact with combustible material may cause fire, harmful if swallowed, irritating to eyes, respiratory system and skin R: 8-22-36 Contact with combustible material may cause fire, harmful if swallowed, irritating to eyes R: 8 Contact with combustible material may cause fire R: 22-36 Harmful if swallowed, irritating to eyes R: 34-50/53 causes burns, very toxic to aquatic organisms; may cause long-term adverse effects in the aquatic environment R: 22-36/37/38 Harmful if swallowed, irritating to eyes, respiratory system and skin R: 36 irritating to eyes R: 49-46-36/37/38-43-50/53 may cause cancer by inhalation may cause heritable genetic damage, irritating to eyes, respiratory system and skin, may cause sensitization by skin contact, very toxic to aquatic organisms; may cause long-term adverse effects in the aquatic environment R: 36/38-50/53 Irritating to eyes and skin, very toxic to aquatic organisms; may cause long-term adverse effects in the aquatic environment R: 22-36/38 Harmful if swallowed, irritating to eyes and skin R: 20/21/22-32 Harmful by inhalation, in contact with skin and if swallowed, in contact with acids liberates very toxic gas R: 20/21/22-32 Harmful by inhalation, in contact with skin and if swallowed, in contact with acids liberates very toxic gas R: 22-36/37/38 Harmful if swallowed, irritating to eyes, respiratory system and skórędziała Harmful by inhalation, in contact with skin and if swallowed, in contact with acids liberates very toxic gas - DETERMINATION OF ELECTROLYTE MOLAR CONDUCTIVITY AT INFINITE DILUTION 6 Safety precautions: ammonium nitrate zinc nitrate sodium nitrate potassium nitrate ammonium chloride zinc chloride copper (II) chloride potassium chloride sodium chloride calcium chloride potassium chromate sodium acetate ammonium sulfate zinc sulfate copper (II) sulfate potassium sulfate sodium sulfate ammonium thiocyanate potassium thiocyanate potassium carbonate Potassium bicarbonate S: 15-16-41 Keep away from sources of heat, not Keep away from sources of ignition - no smoking, do not breathe fumes from fire or explosion S: 26 of contact with eyes, rinse immediately with plenty of water and seek medical advice S: 22-24-41 Do not inhale dust, avoid contact with skin, do not breathe fumes from fire or explosion S: 16-41 Keep away from sources of ignition - no smoking, do not breathe fumes from fire or explosion S: 2-22 keep away from children, do not breathe dust S: 1/2-7/8-28-45-60-61 Keep out of the reach of children and keep the container tightly closed and dry, contaminated skin, wash immediately with plenty of (to be specified by the manufacturer), in case of accident or if you feel unwell, seek medical advice immediately - if possible, show the label, product and container must be disposed of as hazardous waste avoid release to the environment, comply with the instructions or the data sheet S: 26 of contact with eyes, rinse immediately with plenty of water and seek medical advice S: 2-22-24 keep away from children, do not breathe dust, avoid contact with skin S: 53-45-60-61 Avoid exposure - before use, read the instructions, in case of accident or if you feel unwell, seek medical advice immediately - if possible, show the label, the product and the container must be disposed of as hazardous waste Avoid release to the environment, comply with the instructions or card sheet S: 2-22-25-60-61 keep away from children, do not breathe dust, avoid contact with eyes, the product and packaging disposed of as hazardous waste Avoid release to the environment, comply with the instructions or the data sheet S: 22 Do not breathe dust S: 13 Do not store together with food, drink and animal feeding stuffs S: 13 Do not store together with food, drink and animal feeding stuffs S: 22-26 Do not inhale dust contact with eyes, rinse immediately with plenty of water and seek medical advice - 7 DETERMINATION OF ELECTROLYTE MOLAR CONDUCTIVITY AT INFINITE DILUTION V. STUDY RESULTS Electrical conductivity of the electrolyte is given by the formula: κ= kn R (4) where: kn – cell constant R – the electrical resistance of the solution The molar conductivity of the electrolyte is given by: Λm = κ (5) C Fill the measurement table with measurements and calculation results: Lp. RKCl = ..........[Ω] κKCl = ..........[S/m] cell constant Rwater = ..........[Ω] κwater = ..........[S/m] kn = ..........[1/m] C [mol/dm3] C R [Ω] κmeas [S/m] κreal [S/m] Λm [m2/Ωmol] Make the plot of Λm = f( C ) and determine the molar limited conductivity Λ0m which is an intersection of the extrapolated line of experimental data with the ordinate axis. Calculate the coefficients of the Kohlraucsh equation using the least squares method. Carry out an analysis of measurement uncertainty. VI. REVIEW QUESTIONS EXAMPLES 1. Give the definitions of conductivity, solution conductivity and limiting molar conductivity. 2. Why alternating current is used for solution conductivity measurement. 3. Discuss the equation (1) and (2) from the instruction. 4. Give examples of the use of electrolyte solutions conductance measurements. 5. Discuss in detail how to determine the limiting molar conductivity of CH3COOH? 6. Discuss the Weaston bridge operation principle and methods of conductivity measurements. DETERMINATION OF ELECTROLYTE MOLAR CONDUCTIVITY AT INFINITE DILUTION VII. LITERATURE 1. Praca zbiorowa; Chemia fizyczna; PWN Warszawa 1965 2. G. Kortum; Elektrochemia; PWN Warszawa 1970 3. A. Kisza; Elektrochemia I; WNT Warszawa 2000 4. P. W. Atkins, Physical Chemistry, Oxford University Press 8