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46  Chapter 3: Experimental Methods in Kinetics: Measurement of Rate of Reaction

      3.3  EXPERIMENTAL METHODS TO FOLLOW
           THE EXTENT OF REACTION

                           For a simple system, it is only necessary to follow the extent (progress) of reaction by
                           means of one type of measurement. This may be the concentration of one species or
                           one other property dependent on concentration. The former would normally involve a
                           “chemical” method of analysis with intermittent sampling, and the latter a “physical”
                           method with an instrument that could continuously monitor the chosen characteristic
                           of the system. We first consider  a-situ  and  in-situ  measurements.

      3.3.1  Ex-situ  and  In-situ  Measurement Techniques

                           A large variety of tools, utilizing both chemical and physical methods, are available to
                           the experimentalist for rate measurements. Some can be classified as  ex-situ  techniques,
                           requiring the removal and analysis of an aliquot of the reacting mixture. Other,  in-situ,
                           methods rely on instantaneous measurements of the state of the reacting system without
                           disturbance by sample collection.
                             Of the  ex-situ  techniques, chromatographic analysis, with a wide variety of columns
                            and detection schemes available, is probably the most popular and general method for
                           composition analysis. Others include more traditional wet chemical methods involv-
                            ing volumetric and gravimetric techniques. A large array of physical analytical meth-
                            ods (e.g., NMR, mass spectroscopy, neutron activation, and infrared spectroscopy) are
                            also available, and the experimenter’s choice depends on the specific system (and avail-
                            ability of the instrument). For  ex-situ  analysis, the reaction must be “quenched” as the
                            sample is taken so that no further reaction occurs during the analysis. Often, removal
                            from the reactor operating at a high temperature or containing a catalyst is sufficient;
                            however, additional and prompt intervention is sometimes necessary (e.g., immersion
                            in an ice bath or adjustment of pH).
                             In-situ methods allow the measurement to be made directly on the reacting system.
                            Many spectroscopic techniques, ranging from  calorimetric  measurements at one wave-
                            length to infrared spectroscopy, are capable (with appropriate windows) of “seeing”
                            into a reactor. System pressure (constant volume) is one of the simplest such measure-
                            ments of reaction progress for a gas-phase reaction in which there is a change in the
                            number of moles (Example l-l). For a reactor with known heat transfer, the reactor
                            temperature, along with thermal properties, also provides an  in-situ  diagnostic.
                              Figure 3.1 shows a typical laboratory flow reactor for the study of catalytic kinetics.
                            A gas chromatograph (GC, lower shelf) and a flow meter allow the complete analysis
                            of samples of product gas (analysis time is typically several minutes), and the determi-
                            nation of the molar flow rate of various species out of the reactor (R) contained in a
                            furnace. A mass spectrometer (MS, upper shelf) allows real-time analysis of the prod-
                            uct gas sampled just below the catalyst charge and can follow rapid changes in rate.
                            Automated versions of such reactor assemblies are commercially available.


      3.3.2 Chemical Methods
                            The titration of an acid with a base, or vice versa, and the precipitation of an ion in an
                            insoluble compound are examples of chemical methods of analysis used to determine
                            the concentration of a species in a liquid sample removed from a reactor. Such methods
                            are often suitable for relatively slow reactions. This is because of the length of time
                            that may be required for the analysis; the mere collection of a sample does not stop
                            further reaction from taking place, and a method of “quenching” the reaction may be
                            required. For a BR, there is the associated difficulty of establishing the time t at which
                            the concentration is actually measured. This is not a problem for steady-state operation
                            of a flow reactor (CSTR or PFR).
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