Rate semi-logarithmic plot

Fig. 21. Semi-logarithmic plots of the surface spin-lattice relaxation rates for ortho and para positions of pyridine as a function of the reciprocal temperature in porous sol-gel silica glasses. The surface rates are shown on the top and the rates in bulk pyridine are shown at the bottom 50).

Fig. 6.21 Semi-logarithmic plots of the absolute value of the current following potential steps solid) and linear regression fits to linear portions (dashed). Potential versus, sum of reduction, and oxidation rate constant kT (a) 0.0 V, 2.33 s (b) 0.323 V,276s 1 and (c) —0.577 V, 2980s. Reproduced with permission from [43]...

In order to determine the rate equation for hydrodesulfurization, a semi-logarithmic plot of the total sulfur content with time was made (Figure 2). The plot indicated two independent first-order reactions with greatly different rate constants. This is in agreement with the findings of Gates, et al. (7) and Pitts (3). A procedure similar to that of Pitts (3 ) was used to describe the hydrodesulfurization kinetics. The rate expression is given below ... 

Fig. 3.6. Semi-logarithmic plot of agglomerate growth rate in laboratory balling drum as a function of moisture content. (Data of Capes [2] sand particles of average sizes 70/im (o), 97 jum (A) and 49 jUm ( ).)...

The radioactivity concentrations in the collected samples are determined. They are expressed in ig equivalents of drug/g and in % of administered radioactivity. The temporal course of the concentrations and the portions of radioactivity found can be represented by graph and tables. In cases where mean portions of administered radioactivity of a tissue/body fluid of all three time points are distributed about a single straight line in a semi logarithmic plot (In concentrations on time), the rate constant can be calculated by linear regression and subsequently the half-life (ln2/rate constant). 

The effect of the substrate (benzonitrile) concentration on nitrile hydratase activity was investigated in a CSMR in the range of 2-10mM at low temperature (10 °C) in order to reduce the enzyme thermal inactivation as much as possible. The experimental runs are illustrated in Figure 17.4a as a semi-logarithmic plot of the specific reaction rate against process time. Both the r - and the ka-values were calculated (as summarized in the previous paragraph) and are quoted in Table 17.1. 

Fig.9D Semi-logarithmic plots of the dimensionless rate constant % =...

The elimination rate for zero-order processes may also be treated as a maximal rate of reaction (Fmax) and thus this type of data may be subject to ordinary Michaelis-Menten analysis (see further, below). Note that first-order elimination curves are so common that drug disappearance curves are routinely analyzed as semi-logarithmic plots (which linearizes the curve). The literature is sometimes ambiguous in its use of the term linear data , authors may or may not assume that the semi-logarithmic transformation is to be taken as read. 

Fig. 4.16 (a) Typical lateral force/temperature curves at a given scanning rate. Curves for PS with Mn = 4,900 or Mn = 140,000 at a scanning rate of 1 pm s-1 are displayed. The bulk Tg values measured by DSC are 348 and 376 K, respectively, (b) Master curves of the scanning rate/lateral force relationship for PS films drawn from each curve in panel a. Reference temperatures of 267 and 333 K have been used for PS with Mn = 4,900 and for PS with Mn = 140,000, respectively, (c) Semi-logarithmic plots of aT versus the reciprocal absolute temperature (T-1) for PS films with Mn = 4900 or Mn = 140,000. (Reprinted with permission from John Wiley Sons, Inc. [33], Copyright 2004. John Wiley Sons, Inc.)... 

The reactivity of the amine as a polymerization accelerator depends upon the a+ value of the meta- or para-substituent of the amine, where a+ is the electrophilic substituent parameter previously described and tabulated (23). When the kinetic rate constant (or the reciprocal of the polymerization time with amine and peroxide initial concentrations held constant) is plotted against the a+ value on a semi-logarithmic plot (Figures 1 and 2), an inverted "V" shaped curve results. The kinetic data for Figure 1 were taken from a published article describing the polymerization of methyl methacrylate in the presence of BP and various tertiary aromatic amines as shown in Figure 2 ( 5). ... 

Using this normalization, a Maxwellian distribution (Eq. 9) would be a straight line or a semi-logarithmic plot of /o (e, t) vs. e. Once the EEDF has been determined, the reaction rate coefficient for electron impact reaction i can be calculated by... 

Table III shows the data obtained from bioassay with saflBiowers the semi-logarithmic plots of the data are shown in Figure 3. The effect of the suspended solids (0.04% by weight) seems insignificant at this shallow depth. Substances in the solution which absorb or scatter the light are expected to diminish the photodecomposition rate by reducing the amounts of light available. Here the fraction of light absorbed and/or scattered is insuflBcient to reduce the amount available for photodegrading picloram.

Figure 5.7. Hydrogenolysis of n-butane on Rh/Ti02 at 429 K comparison of direct (O) and semi-logarithmic ( ) plots of rate versus hydrogen pressure. In this and the next figure, the curves are calculated by the rate expression ES5B to be derived in Chapter 13.

Fig. 169. Temperature dependence of the ZF and TF relaxation rates for NdPdAs (left, semi-logarithmic plot) and EuPdAs (ri t, linear plot). More detailed data are available for EuPdAs below 20 K but not shown in this...

If the total amount of drug excreted into urine is known, an estimate of the rate constant for drug elimination by all routes can be done from the semi-logarithmic plot of In ( / — I7t) against time according to the equation ... 

Figure 4.6 Semi-logarithmic plot of the dimensionless rate constant X = feh(12/7) (f/D) versus , for the reduction of 2 mM hydroxylamine in 0.2 M...

The t /7 of a radioisotope is determined by plotting the radioactivity (or disintegration rate) as a function of time on a semi-logarithmic paper. The slope of the resulting straight line is equal to X. The t a of the radioisotope may then be calculated from the above expression. 

When electrochemical rate data, i.e., electrode potential-current density data, are plotted, it is often done on semi-logarithmic paper. Since the logarithmic scale of this paper is usually "base 10", the Tafel slopes which are measured are related to the Tafel constants in Equation 30 by... 

The relation between die local outflow rate and the total outflow rate is nonlinear. For exarqile, the plots in Figure 7 show a semi-logarithmic relation between the local outflow rate (for two pans located outside of die perimeter of... 

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