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Influence of Temperature on Electrical Conductivity

Influence of Temperature on Electrical Conductivity
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Influence of Temperature on Electrical Conductivity

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Abstract: The document examines the temperature dependence of electrical conductivity in diluted aqueous solutions, emphasizing the need for standardizing measurements at 25°C. It discusses the role of temperature sensors in conductivity monitors and introduces a universal equation for converting conductivity values to this standard temperature.
Introduction: Electrical conductivity in dilute aqueous solutions is crucial for assessing boiler feedwater quality and steam purity. Conductivity limits are standardized at 25°C and 101.325 kPa, requiring cooling cycles for accurate measurements. The document explores the physical-chemical principles of conductivity and the accuracy of temperature-dependent conversions.
Electrical Conductivity of Electrolyte Solutions: Conductivity is influenced by ion movement in an electric field, determined by ion concentration and electrochemical properties. The document explains the relationship between ion mobility, charge, and conductivity, noting that smaller ions or those with higher charges may form larger solvate shells, affecting conductivity.
Temperature and Concentration Dependence: Conductivity is inversely related to solution viscosity, with temperature significantly affecting ion mobility. The degree of dissociation and ion concentration also impact conductivity, with higher concentrations leading to reduced conductivity due to ion interactions.
Application in Water-Steam Cycles: Conductivity measurements are vital for monitoring water and steam quality in power plants. Different methods, including specific and acid conductivity, are used at various sampling points to distinguish between alkalizing agents and contaminants.
Conductivity Diagrams: In water-steam cycles, pH is maintained in an alkaline range using ammonia or amines. These agents dominate conductivity measurements, while other electrolytes are considered contaminants. The combination of specific and acid conductivity measurements aids in identifying contamination levels.
Pure Water: Water dissociates into H3O+ and OH- ions, with the extent of dissociation dependent on temperature, governed by the dissociation constant KW,T. Conductivity is uniquely related to temperature.
Ammonia in Water: Ammonia acts as an alkalizing agent, dissociating into NH4+ and OH-. The degree of dissociation decreases with rising concentrations. Conductivity is calculated based on ion concentrations and equivalent ionic conductivities, with temperature conversion factors provided.
NaCl and CO2: NaCl dissociates completely into Na+ and Cl- ions, contributing to conductivity. CO2, a weak acid, dissociates into HCO3- and CO3 2-. Conductivity models account for these dissociations, focusing on temperature effects.
Conductivity Conversion: Conductivity values can be converted to a standard temperature (25°C) using conversion factors based on equivalent ionic conductivities. The document provides equations and examples for these conversions.
Conclusion: The document emphasizes the importance of understanding temperature effects on conductivity for accurate chemical analysis in water-steam cycles, with specific models for common alkalizing agents and other substances.
Temperature Conversion and Conductivity: The document explains converting acid conductivity from 40°C to 25°C using examples of strong acid HCl and weak acid CO2. Both acids show a conversion factor of approximately 0.7, indicating accurate conversion regardless of acid type. However, concentration cannot be directly calculated from conductivity without knowing the specific acid.
Neutral Salt NaCl in Alkalized Feedwater: The pH of feedwater is often calculated from the difference between specific and acid conductivity at 25°C. The document provides an example with NH3 and NaCl, showing how true conductivity at 25°C differs from the incorrectly converted value. Conversion factors for NH4OH, NaCl, and HCl are provided.
CO2 in Alkalized Condensate: CO2 can enter the water-steam cycle, affecting conductivity. The document illustrates how CO2 addition affects conductivity and pH, showing that the relationship is not linear due to multiple chemical components and dissociation equilibria.
Conclusion: The document concludes that temperature conversion of conductivity is largely independent of chemical composition due to similar temperature coefficients of ions. However, accurate concentration calculations require knowledge of the sample's chemical composition.
References and Acknowledgements: The document cites various references and acknowledges contributions from several individuals. It also provides contact information for the author, Dr. Heinz Wagner.
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Influence of Temperature on Electrical Conductivity-1

PPCHEM SPECIAL PRINT POWERPLANT CHEMISTRY PowerPlant Chemistry Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions Dr. Heinz Wagner Dr. phil. II, Physical Chemistry, University Zurich, Switzerland SWAN Analytische Instrumente AG, 8340 Hinwil, Switzerland ANALYTICAL INSTRUMENTS AMI INSPECTORS Portable Inspection Equipment for Quality Assurance of Process Analyzers

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Influence of Temperature on Electrical Conductivity-2

POWERPLANT CHEMISTRY PowerPlant Chemistry® Journal (ISSN 1438-5325) Publisher: Waesseri GmbH P.O. Box 433 8340 Hinwil Switzerland Phone: +41-44-9402300 E-mail: [email protected] International Advisory Board: R. B. Dooley (Structural Integrity Associates, USA) M. Gruszkiewicz (ORNL, USA) Professor D. D. Macdonald (Pennsylvania State University, USA) M. Sadler (United Kingdom) R. Svoboda (Switzerland) H. Venz (Switzerland) Editor-in-Chief: Albert Bursik, Germany ([email protected]) Copyediting and Proofreading: Kirsten Brock, USA/Germany Graphics and Layout: te.gra – Büro für Technische Grafik,...

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Influence of Temperature on Electrical Conductivity-3

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions Heinz Wagner As conductivity is temperature dependent, all values reported in the major cycle chemistry guidelines are specified for a standard temperature of 25 °C. For this reason, most current conductivity monitors have an integrated temperature sensor and offer algorithms to convert measured values to the standard temperature. This article looks at the physical- chemical basics of electrical conductivity measurement and discusses...

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Influence of Temperature on Electrical Conductivity-4

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions INTRODUCTION The electrical conductivity of a dilute aqueous solution is a measure of the total amount of ionic solutes that are present. As a sum parameter, it provides an evaluation of the quality of boiler feedwater, and of the purity of the steam and the condensate. To ensure a safe and effective operation, the conductivity limits must be maintained. Normal operational values, as well as threshold values, are stated for the various sampling points of the water-steam-cycle (feedwater, boiler, steam, condensate,...

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Influence of Temperature on Electrical Conductivity-5

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions Table 1: Equivalent ionic conductivity in water at 25 °C (extremely diluted solutions). The equivalent ionic conductivity increases with the charge number and decreases with a larger radius and viscosity. The ␭ values in Table 1 deviates slightly from expected values: the smaller Li+ ion conducts less well than the more voluminous NH4+ ion. The difference comes from the fact that a is not the ion radius, but the radius of the solvated ion. A small ion or a strongly charged ion can, because of Coulomb energy, form...

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Influence of Temperature on Electrical Conductivity-6

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions As shown in Figure 2, the equivalent conductivity ⌳ is not an invariable quantity [4]. It decreases with increasing concentration and therefore the equivalent ionic conductivity ␭ must also decrease with increasing concentration, because all electrolytes depicted in Figure 2, apart from acetic acid (HAc), are strong, i.e., completely dissociated. The degree of dissociation of acetic acid decreases explicitly with increasing concentration. The decrease in the equivalent conductivity with higher concentration is mainly...

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Influence of Temperature on Electrical Conductivity-7

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions conclusion is only possible if the chemical components present and their mixing ratio are known. Significant limit values can be defined if the composition of the sample varies only within a limited extent. CONDUCTIVITY DIAGRAMS OF WATER-STEAM CYCLE SAMPLES In a water-steam cycle the pH is set at an alkaline range from 8.5 to 10, by adding an alkalizing agent. This agent is usually ammonia or an amine, e.g., morpholine or ethanolamine. All these substances are weak bases which only partly dissociate into ions. In...

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Influence of Temperature on Electrical Conductivity-8

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions The relation of conductivity and temperature is unique for pure water. A certain temperature corresponds with a certain conductivity, and vice versa. Ammonia in Water Ammonia is a common alkalizing agent and it is dosed so that the required pH range is maintained. Ammonia NH3 is a weak base and dissociates in water to the degree ␣ into ammonium NH4+ and OH– NH3 + H2O Ǟ NH4+ + OH– Figure 4 shows the ion concentrations of NH4+ and OH– for a temperature range from 0 °C to 60 °C for three different overall ammonia concentrations...

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Influence of Temperature on Electrical Conductivity-9

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions Figure 5: Specific conductivity for NH3 solutions with a total NH3 concentration from 0 to 10 mg · kg–1 at temperatures from 0 to 60 °C (a) and the projection of the isotherm conductivity curves onto the k-[NH3]-surface (b). Other volatile alkalizing agents like morpholine or ethanolamine have very similar conductivity diagrams because they are also weak bases and their dissociation constant is of a comparable size [7]. The conductivity of a NaCI solution is composed of the conductivity of water plus the conductivity...

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Influence of Temperature on Electrical Conductivity-10

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions Figure 6: Specific conductivity of 0–50 µg · kg–1 NaCl solutions at temperatures from 0 to 60 °C (a) and the projection of isothermic curves onto the k-[NaCl]-surface (b). Hydrochloric acid water into H+ and Cl–. reacts completely together with From [H+], [OH–], [Cl–] = [HCl] and the equivalent ionic conductivities, the specific conductivity as a function of the temperature can be calculated: or other equipment under vacuum. CO2 is a weak acid with a minor degree of dissociation. It dissociates in two steps, into...

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Influence of Temperature on Electrical Conductivity-11

Influence of Temperature on Electrical Conductivity of Diluted Aqueous Solutions Figure 7: Specific conductivity of 0–50 µg · kg–1 HCl solutions at temperatures from 0 to 60 °C (a) and the projection of isotherm conductivity curves onto the k-[HCl]-surface (b). Figure 8: Specific conductivity of 0–50 µg · kg–1 CO2 at temperatures from 0 to 60 °C (a) and the projection of isotherm conductivity curves onto the k-[CO2]-surface (b).

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