R „ values, calculation

Note that the first approximation for R was obtained from Equation 12-41. This figure is not the exact compression ratio as it is difficult to calculate an exact ratio over such a wide range. The final R values calculated are close enough for process design calculation. 

Figure A3.4 Comparison of the experimental r (dashed lines) with the r values calculated from the Soave equation of state (solid lines). Values for the acentric factor are (a) oj = -0.218 (the value for EC), (b) a, = 0.011 (the value for CH4), (c) lU = 0,250 (the value for NEC), and (d) = 0.344 (the value for ECO).

Error calculations based on a 5% error in the measured R, values. Calculated from Eq. 5/ and the py values given in Ref. 85. Estimated error of 0.01 A. Only the average value could be determined for thqse protons, because their resonances were not separately resolved for the isotopomers 44c and 44d. Calculations based on the assumption that = p2t = Ps.sc = Pi,3 - From Refs. 78 and 85. 

Table 1 shows some approximate r values calculated for frequently used absorptions. NA values are assumed for customary Cassegrain objectives (for transmission and ATR, respectively). 

Table 10.1 lists r values calculated for normalized distributions of alkalis and alkaline earths between silicates and hydrothermal solutions and for normalized distributions of rare earth elements (REE) between pyroxenes and silicate melts. 

Note that, in this case, partitioning to NOM is the major sorption mechanism. Insert this value together with the r value calculated above to obtain ... 

The r values, calculated by Equation 33 follow the pattern of an Arrhenius equation, as shown in Figure 5. The differences in the activation energies are given by the following data ... 

Fig. 20. Comparison of the plastic zone data obtained from Figure 19a with r -values calculated from mechanical tests with HDPE...

Indirect methods have been proposed to calculate r at low concentrations of specifically adsorbing ions, i.e. r is related to the slope of Kd (pH) curves (cf. Fig. 4.8(B)). Some publications report r values calculated as the stoichiometric coefficients of the reaction ... 

Values ai Jr for different monomer pairs having the same monomer as Ml but different monomers as M2 would thus provide a comparison of reactivities of the M2 monomers. Table 7.2 shows 1/r values calculated from the data in Table 7.1. The data in each vertical column show the monomer reactivities of a series of different monomers toward the same reference polymer radical. (Note that the data in each horizontal row in Table 7.2 cannot be compared the data can only be compared in each vertical column.)... 

The //r values calculated for the local equilibrium cases (curves a and b, lower panel, Fig. 15) are infinite or at least very large at the inlet side (distance = 0) of the column, as the normalized concentration is close to or at zero, since the rocks in the column have completely exchanged with the fluid. In contrast, extremely low or zero fluid-rock ratios are obtained for rocks collected down stream, to the right of the infiltration front, near the outlet. Intermediate fluid-rock ratios are obtained for rock samples placed in the region near the infiltration front. Intermediate fluid-rock ratios are also calculated for the case of kinetic fluid-rock exchange (Fig. 15b). The ratio //r steadily decreases to smaller values as samples from locations further down the column,... 

The Y-block variance (t 2) is the percentage of the output variance explained by the model over all output variables. This is analogous to the R -values calculated for the individual output variables. The values indicated by maxima were those where the pure error component had been subtracted. Only the linear PLS model was able to perform better than the NNPLS model on the R2-scores calculated for the overall model. The reason for this is the fact that except for C5, the C-class rocket motor irradiance spectra were most accurately predicted using the linear PLS model. 

Fig. 11.36. Histogram of the R-value calculated from the moment tensor. Unfilled bars are indicating events with compressional first motions only and black bars are indicating events with at least one dilatational first motion (Manthei 2005).

Fig. 1 Relationship between the experimental /r (min) values of nicotinic acid esters and the r values calculated using Eq. 29. Source From Use of traditional structural descriptors in QSRR analysis of nicotinic acid esters, in J. Liq. Chromatogr. Relat. Technol.f ...

In an LITR experiment [157] carried out with a 1000 g Th/kg H2O slurry of 1300°C-fired thorium-uranium oxide (U /Th = 0.005), sufficient catalyst (0.02 m M0O3) was added to give a small partial pressure of radioljitic gas. A (r-value (calculated as above) for gas production of 0.6 molecule of H2 per 100 ev was obtained. From the equilibrium gas pressures at 250 and 280°C, first-order rate constants for gas recombination of 4.98 and 7.14 hr were calculated. These values compare well with rate constants of 4.95 and 8.75 hr obtained in out-of-pile gas-recombination experiments made with a similar slurry of the same oxide at the indicated temperatures. 

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