Semilogarithmic coordinate

The last column is plotted versus time using semilogarithmic coordinates in Figure 3.7. The fact that the data fits a straight line is indicative of first-order kinetics. The reaction rate constant may be determined from the slope of this plot. 

Since the molecular motion correlation time, Xc, depends on the temperature, the T1 curves, plotted in semilogarithmic coordinates, go through a minimum, Ti mm (Figure 4.19) which can be expressed as... 

This can be elucidated by a corrosion diagram (Fig. 12), which shows in semilogarithmic coordinates current-voltage characteristics for two conjugated reactions. Using condition (43) and neglecting ohmic potential drop in the system, one can find from the intersection of those characteristics the steady state corrosion current icorr and corrosion potential [Pg.283]

Comparison of Release Data with Proposed Model. A summary of the cesium release data obtained with helium as carrier gas is shown in Figure 5, where the percentage of cesium remaining is plotted vs, heating time on semilogarithmic coordinates. In all of the experiments the flow rate was maintained at 300 cc./min. and the temperature at 730° = = 5°K. The geometric parameters are indicated on each curve. Since only about 5% of the sodium was vaporized in each experiment, the assumption of a stationary liquid-phase boundary is justified. 

Fig. 11. Dependence of the packing factor of highly-loaded coarse-disper-sion composites on vibration time on semilogarithmic coordinates. Numbers on the curves correspond to the numbers of the composites...

If initiation is faster or comparable to propagation and termination is negligible, kinetic plots are straight in semilogarithmic coordinates. Initiation is faster than propagation and not kinetically detectable in polymerizations of isobutene and styrene initiated by cumyl derivatives because the initiator is more easily ionized than the propagating species. However, if the initiator is less easily ionized than the propagating species as in a-methyl-styrene polymerizations initiated by cumyl derivatives, and in isobutene polymerizations initiated by /-butyl derivatives (cf., also Section III. A.5), then initiation may be incomplete and the overall polymerization rate will increase continuously. 

Figure 10. Variation of normalized LiCl intensity with photon energy for the process LiCl hv LiCl 4" e, plotted on semilogarithmic coordinates (1).

Fig. 32. Experimental (dots) and calculated (Eq. (28), solid lines) time dependences of conversion in semilogarithmic coordinates for the system polyester resin-benzol peroxide. Curing temperature (°C) 90 (1) 85 (2) 80 (3) [125]...

Plot the mobilities obtained from step 6-46 as a function of the molecular weights given in step 6-20 on semilogarithmic coordinates. Such a plot is shown in Figure 6-26. 

FIGURE 2.10 Plot of drug concentrations vs. time on semilogarithmic coordinates. Back extrapolation (dashed line) of the elimination-phase slope (solid line) provides an estimate of Cq. The elimination half-life (h/2) can be estimated from the time required for concentrations to fall from some point on the elimination-phase line (Cj) to C2 = jCj, as shown by the dotted lines. In the case of digoxin, C would be in units of ng/mL and t in hours. 

FIGURE 3.8 "Curve-peeling" technique used to estimate the coefficients and exponents of Equation 3.5. Data points ( ) are plotted on semilogarithmic coordinates and the points for the cc-curve (o) are obtained by subtracting back-extrapolated -curve values from the experimental data. 

The progress of the alkyd reaction is usually monitored by periodical determinations of the acid number and the viscosity (solution in a suitable solvent and at an appropriate concentration) of samples taken from the reactor. The frequency of sampling is commonly every half hour. The general practice is to plot the determined values separately against time on semilogarithmic coordinants (Figure 4). 

The method of residuals is used to obtain the individual rate constants (Fig. 5-6). A is determined by extrapolating the terminal slope to the y axis can be obtained by calculating the slope or 0/2 and using the formnlas given for the intravenons bolns case. At each time point in the absorption portion of the curve, the concentration value from the extrapolated line is noted and called the extrapolated concentration. For each point, the actual concentration is subtracted from the extrapolated concentration to compute the residual concentration. When the residual concentrations are plotted on semilogarithmic coordinates, a line with y intercept equal to A and slope equal to -dtJ2.303 is obtained. When these values are calculated, they can be placed into the equation (C = Ae - Ae <, where A = FDk l[V k - k)]) and used to compute the serum concentration at any time after the... 

The kinetic peculiarities of ENMP hydrolysis were studied. The time dependence of EP concentration curve increases continuously and tends to the value of ENMP complete conversion. In semilogarithmic coordinates this dependence is described by linear function, that indicates the first order with respect to ENMP concentration (Fig. 1). 

When plotted on semilogarithmic coordinates, the linear graph gives n° when z = 0 and has a slope of l/trr. Such a graph is shown in Fig. 27.17. 

The equation defines a straight line in semilogarithmic coordinates with slope -X,... 

The Evans diagram ( ) is a graphical presentation in semilogarithmic coordinates of the anodic and cathodic reaction rates expressed as partial currents dependent on potential. The basis for the Evans diagram is the corrosion model discussed above ... 

The main peculiarities of phase separation of polyampholytes - random copolymers of 2M5VP-AA that are insoluble at the lEP - were considered by authors [63-65] from the colloid chemical point of view. Tables 7 and 8 summarize some physico-chemical characteristics of polyampholytes used. The surface tension O, viscosity [rj] and electro conductivity x of PA-3 solution and dispersion are minimal at the lEP (Fig. 13). In the semilogarithmic coordinates the dependence of surface tension o on IgC has breaking points. They correspond to the critical concentration of polyampholytes that reflects the saturation of the adsorp-... 

Figure 2 shows the typical particle size distribution(PSD) of magnesium hydroxide plotted on semilogarithmic coordinates. The linear correlation indicates that the primary particle growth obeys the A L law. From the slope of PSD, G is... 

Creep in technical-purity aluminum at liquid helium temperatures [ ] was noted to be very temperature dependent at 1.4 to 4.2 K, indicating that, even at 4 K, creep is not an athermic process. Creep curves replotted on semilogarithmic coordinates (Fig. 1) suggest that a logarithmic time dependence of the creep is also observable in this temperature range. 

Fig. 1. Experimental low-temperature creep strain-vs.-time curves for A1 (a), Ag (b), and Cu (c) single crystals under constant stress and at temperatures Ti

Fig. 11 Radial distribution of end segments rieir) for three values of the difference between pH and pATa -1> 0 and 1 under theta-conditions N = 4000 p = 20, (p = 10 semilogarithmic coordinates...

The rammer penetration for any n blows is compared with a penetration for An blows, and their difference, which in fact constitutes an indication of change in density, is recorded as change in penetration. The data recorded, the number of blows and the change in penetration are represented in a semilogarithmic coordinate system (x-axis is the logarithmic axis, which represents the number of blows). The MCV is defined by the following equation ... 

From the data of Fig. X.7 we can find the relationship -f(x), where x is the distance from the edge of the plate corresponding to a detachment probability of 0.5. With increasing size of the loess particles, as would be expected, the value of 3c also increases. On semilogarithmic coordinates, the relationship 3c = f(d) is near linear. 

The main products in acetic acid medium (Fig. 27) are OZ, DMPC and AcP. The curve of CHP consumption is found to decrease exponentially (it becomes a straight line in semilogarithmic coordinates), the curve of OZ formation passes through a maximum, DMPC is accumulated linearly with the time and that of AcP formation is strongly accelerated after 50 min. The ratio of the initial rates of DMPC AcP and DMPC OZ formation are 1 1 and 1 5, respectively. Phenol (PhOH), which have been identified in the oxidate eould be obtained fi om the well-known heterogeneous decomposition of CHP in acid medium giving rise to phenol and acetone. 

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