Tuesday, November 10, 2015

Thermometric Titration - Curves

Thermometric enthalpimetric titrations (TET) are characterized by the continuous addition of the titrant to the sample under effectively adiabatic conditions. The total amount of heat evolved (if the reaction is exothermic) or absorbed (if the reaction is endothermic) is monitored using the unbalance potential of a Wheatstone bridge circuit, incorporating a temperature-sensitive semiconductor (thermistor) as one arm of the bridge. Simple styrofoam-insulated reaction cells will maintain pseudoadiabatic conditions for the short period of a titration.

The heat capacity of the system will remain essentially constant if the change in volume of the solution is minimized and if the titrant and titrate are initially at the same temperature (usually room temperature). The TET ethalpogram (a thermometric titration curve), shown in the figure below. illustrates an exothermic titration reaction. The base line AB represents the temperature–time blank, recorded prior to the start of the actual titration. B corresponds to the beginning of the addition of the titrant, C is the end point, and CD is the excess reagent line. In order to minimize variations in heat capacity during titrations, it is customary to use a titrant that is 50 to 100 times more concentrated than the specimen being titrated. Thus the volume of the titrate solutions is maintained  virtually constant, but the titrant is diluted appreciably. Correction for the latter is conveniently made by linear back-extrapolation CB’. Under these conditions, the extrapolated ordinate height, BB’, represents a measure of the change of temperature due to the titration reaction.

Typical thermometric titration curves for an exothermic process: (a) idealized curve, and (b) actual curve, illustrating extrapolation correction for curvature due to incompleteness of reaction. AB—temperature–time blank, slope due to heat leakage into or out of  titration cell; B—start of titration; BC—titration branch; C′—end point; CD—excess reagent line, slope due to heat leakage and temperature difference between reagent and solution being titrated; ΔT— corrected temperature change; ΔV—end-point volume. (From L. Meites, ed., Handbook of Analytical Chemistry, McGraw-Hill, New York, 1963.)