Peak current

Cyclic voltammetry provides a simple method for investigating the reversibility of an electrode reaction (table Bl.28.1). The reversibility of a reaction closely depends upon the rate of electron transfer being sufficiently high to maintain the surface concentrations close to those demanded by the electrode potential through the Nemst equation. Therefore, when the scan rate is increased, a reversible reaction may be transfomied to an irreversible one if the rate of electron transfer is slow. For a reversible reaction at a planar electrode, the peak current density, fp, is given by... 

The effects of ultrasound-enlianced mass transport have been investigated by several authors [73, 74, 75 and 76]. Empirically, it was found that, in the presence of ultrasound, the limiting current for a simple reversible electrode reaction exhibits quasi-steady-state characteristics with intensities considerably higher in magnitude compared to the peak current of the response obtained under silent conditions. The current density can be... 

Thus, the limiting current, is a linear function of the concentration of O in bulk solution, and a quantitative analysis is possible using any of the standardization methods discussed in Chapter 5. Equations similar to equation 11.35 can be developed for other forms of voltammetry, in which peak currents are related to the analyte s concentration in bulk solution. 

The current during the stripping step is monitored as a function of potential, giving rise to peak-shaped voltammograms similar to that shown in Figure 11.37. The peak current is proportional to the analyte s concentration in the solution. 

The concentration of As(III) in water can be determined by differential pulse polarography in 1 M HCl. The initial potential is set to -0.1 V versus the SCE, and is scanned toward more negative potentials at a rate of 5 mV/s. Reduction of As(III) to As(0) occurs at a potential of approximately —0.44 V versus the SCE. The peak currents, corrected for the residual current, for a set of standard solutions are shown in the following table. 

What is the concentration of As(III) in a sample of water if the peak current under the same conditions is 1.37 )J,A ... 

Substituting the sample s peak current into the regression equation gives the concentration of As(III) as 4.49 X 10 M. 

The concentration of copper in a sample of sea water is determined by anodic stripping voltammetry using the method of standard additions. When a 50.0-mL sample is analyzed, the peak current is 0.886 )J,A. A 5.00-)J,L spike of 10.0-ppm Cu + is added, giving a peak current of 2.52 )J,A. Calculate the parts per million of copper in the sample of sea water. 

Peak currents in anodic stripping voltammetry are a linear function of concentration... 

Peak currents in differential pulse polarography are a linear function of the concentration of analyte thus... 

Precision Precision is generally limited by the uncertainty in measuring the limiting or peak current. Under most experimental conditions, precisions of+1-3% can be reasonably expected. One exception is the analysis of ultratrace analytes in complex matrices by stripping voltammetry, for which precisions as poor as +25% are possible. 

The amount of sulfur in aromatic monomers can be determined by differential pulse polarography. Standard solutions are prepared for analysis by dissolving 1.000 mb of the purified monomer in 25.00 mb of an electrolytic solvent, adding a known amount of S, deaerating, and measuring the peak current. The following results were obtained for a set of calibration standards... 

Analysis of a 1.000-mb sample, treated in the same manner as the standards, gives a peak current of 1.77 pA. Report the amount of sulfur present in the sample in milligrams per milliliter. 

X f0 ppb Sb was added, anodic stripping voltammetry is repeated, giving a peak current of f.i4 pA. How many nanograms of Sb is collected from the individual s hand ... 

Sparks Spark discharges are most common between solid conductors, although one electrode may be a conduc tive liquid. They appear as a narrow, luminous channel, and cany a large peak current for a few microseconds or less. Sparks are the only form of discharge for which a maximum spark energy can be calculated, using the expression ... 

The starting current and the peak current during each cycle... 

Magnitude of the first peak current (fy) Maximum transient current 2 (or Iqq)... 

From the oscillogram, shown in Figure 14.4 one can easily determine the average r.m.s. value of the short-circuit current, its duration and the momentary peak current. For easy evaluation, this oscillogram has been divided into ten equal parts (I to lO) and is redrawn in Figure 14.5 for more clarity. The short-circuit commences at point D and concludes at point A2, A A2 being the original zero axis. At the instant of short-circuit, the zero axis shifts to B A2- B) B is the initial d.c. component that decays to zero at A2 at the conclusion of the test. 

The maximum peak current also appears in phase Y and measures at 110.6 kAat the first loop of the current wave. This loop is 110.6/50, i.e. 2.21 times the test current and satisfies the requirement of Table 13.11. 

For the tap-offs, connecting a UAT through the main bus section between the generator and the generator transformer, however, as discussed above, the momentary peak current will depend upon the short-time rating of such tap-offs. The likely ratings are noted in Table 13.8. 

In Fig. 15-9 two potentiostatically controlled protection rectifiers and an additional diode are included to drain peak currents. At pipeline crossings with an external rail network (e.g., in regions outside the urban area), the forced stray current drainage should be installed as close as possible to the rails that display negative potentials for the longest operation time. The currents absorbed from the positive rails continue to flow also in the region outside the rail crossings. Here the use of potentiostatically controlled rectifiers is recommended these should be connected not only to the rails but also to impressed current anodes. 

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