Dotted lines in figures

Figure A2.5.2 shows schematically the behaviour of several thennodynamic fiinctions along a constant-pressure line (shown as a dotted line in Figure A2.5.1 )—the molar Gibbs free energy G(for a one-component system the same as...

Figure A2.5.2. Schematic representation of the behaviour of several thennodynamic fiinctions as a fiinction of temperature T at constant pressure for the one-component substance shown in figure A2.5.1. (The constant-pressure path is shown as a dotted line in figure A2.5.1.) (a) The molar Gibbs free energy Ci, (b) the molar enthalpy n, and (c) the molar heat capacity at constant pressure The fimctions shown are dimensionless...

Figure 3.5.2 shows the results obtained using M-5 and TS-500 samples with S/V values of 3.03 x 107 and 3.28 x 107 m 1, respectively, and porosities of 0.936 and 0.938, respectively. Note the significant deviation of the relaxation behavior from that ofbulk CF4 gas (dotted lines in Figure 3.5.2). The experimental data were first fitted to the model described above, assuming an increase in collision frequency due purely to the inclusion of gas-wall collisions, assuming normal bulk gas density. However, this model merely shifts the T) versus pressure curve to the left, whereas the data also have a steeper slope than bulk gas data. This pressure dependence can be empirically accounted for in the model via the inclusion of an additional fit parameter. Two possible physical mechanisms can explain the necessity of this parameter.

Lines of constant annual revenue are shown as dotted lines in Figure 3.12, with revenue increasing with increasing distance from the origin. It is clear from Figure 3.12 that the optimum point corresponds with the extreme point at the intersection of the two equality constraints at Point C. 

For molecules where the angle is obtuse (indicated by the dotted lines in Figure 6.1) the relationship is written as... 

In this framework, the lower regiospecificity of the isospecific catalytic systems can be rationalized by assuming that the activation energy for the rotation of the coordinated monomer around 0o between the orientations suitable for the primary and secondary insertions (schematically shown by dotted lines in Figure 1.11) is in general lower than (or comparable to) the activation energy for the secondary insertion.80... 

In more quantitative terms, the analysis developed in Section 5.3.2 may be applied here. It is, however, necessary to take into account inhibition by the substrate as depicted in Scheme 5.3. At low substrate concentration, however, inhibition can be neglected. When complete control by substrate diffusion prevails, the current-potential response obeys the conditions of total catalysis, being given by equation (5.25) (dotted line in Figure 5.24), as discussed in Section 5.3.2, introducing a stoichiometric factor of 2, while the peak potential is given by equation (5.26). 

Figure 5 shows the dependences of tensile strength of the cocured DAP resins on monomer composition the tensile strength decreased with an increase in the mole fraction of comonomers and its dependency tended to be remarkable in the order VL < DOF < LMA < SMA. Particularly, the addition effects of LMA and SMA were quite great, being comparable to the result of PEGBAP as the dotted line in Figure 5. 

These are two equivalent points of view concerning the meaning of 2- Clearly, y i2 does not correspond to the actual change in volume when a whole mole of solute is added to a limited quantity of solution because y i2 is the increase in V upward along the dotted line in Figure 18.2, whereas the actual volume follows the solid line. To calculate V 2 from the data represented in Figure 18.2, numerical or graphical differentiation is necessary, or the data can be fitted to a polynomial equation as in the procedures described in Appendix A. 

Table 6.3 lists the summary statistical measures yielded by 3 analyses of this hypothetical calculation. The 2nd column gives the results that might be obtained by a standard Monte Carlo analysis under an independence assumption (the dotted lines in Figure 6.7). The 3rd and 4th columns give results from probability bounding analyses, either with or without an assumption of independence. 

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