Reasonable results

The reaction coordinate is calculated in a number of steps. If too few steps are used, then the points that are computed will follow the reaction coordinate less closely. Usually, the default number of points computed by software packages will give reasonable results. More points may be required for complex mechanisms. This algorithm is sometimes called the IRC algorithm, thus creating confusion over the definition of IRC. 

Criteria 1 through 5 must be obeyed in order to obtain reasonable results in subsequent calculations using the function. Criteria 6 through 10 are desirable for practical reasons. Finding a function that meets these criteria requires skill and experience, and no small amount of patience. 

Jote 2. We have also carried out this synthesis in ethanol as a solvent but the results were not reproducible. Although a series of experiments with zinc powder from one flask gave reasonable results (50-78% yields), a new flask with the same batch number gave low yields of impure products. The main impurity was probably the non-conjugated diene, H2C=CH-CH2-CH=CH-CH3, possibly resulting from reduction of the 1,2,4-triene by the zinc. The... 

This is a reasonable result since we expect the concentration of hydrofluoric acid s conjugate base, F , to increase as the pH increases. Similar reasoning shows that the concentration of HE exceeds that of F when... 

A similar decomposition takes place on Let us substitute in (3.17) the test functions of the form W + W, where smooth functions W belong to W]v > 0 on r, and make use of (3.16). A simple reasoning results in the relations... 

Fit the test leaf with a filter cloth expected to give reasonable results and seal the back of the leaf and side of the dam with sihcone or other suitable material. 

The next simplifieation is to assume that there is a linear relationship between a ehange in power and a ehange in valve position. This is even less aeeurate than tlie previous metliod, but ean still yield reasonable results if tlie expander typieally runs in the same operating eonditions and, for example, the bypass valve is usually elosed. However, due to the nonlinear eharaeterisities, this method ean eause signifieant over or under reaetion depending on aetual FCCU operating eonditions. 

The use of multi-funetional teams also enables eoneurrent engineering, sinee all the team members are aware of the effeet of their funetional input to the projeet on other areas, as diseussed earlier. The team are able to plan aetivities that may be earried out in parallel. While sometimes obtaining reasonable results, this approaeh often faees a number of obstaeles (Towner, 1994) ... 

The second reason for modification of the displaced volume is that in real world application, the cylinder will not achieve the volumetric performance predicted by Equation 3.4. It is modified, therefore, to include empirical data. The equation used here is the one recommended by the Compressed Air and Gas Institute [1], but it is somewhat arbitrary as there is no universal equation. Practically speaking, however, there is enough flexibility in guidelines for the equation to produce reasonable results. The 1.00 in the theoretical equation is replaced with. 97 to reflect that even with zero clearance the cylinder will not fill perfectly. Term L is added at the end to allow for gas slippage past the piston rings in the various types of construction. If, in the course of making an estimate, a specific value is desired, use, 03 for lubricated compressors and. 07 for nonlubricated machines. These are approximations, and the exact value may vary by as much as an additional. 02 to. 03... 

For many plant control purposes, telephone results are adequate. But when analyses are made for safety reasons, results should be accepted only in writing. 

An important special case can be derived from this general result. This is the case of a fast preequilibrium, in which the A + B AB system rapidly equilibrates, the AB C step being much slower. Then the relaxation time for the first step is much shorter than that for the second, and some measure of uncoupling takes place. For such a system k,2, 21 23- 32, and we obtain Cn = k 12, a,2 = /c2, 021 = k, 2, 022 = 21- Equations (4-22) then give Tf = k, 2 + 21 and th 0. Because these are approximations, the result for ti is reasonable but that for Tn is not. To reach a reasonable result for Tn we use Eq. (4-24a),... 

Several empirical efficiency correlations have been developed from commercial equipment and some laboratory data and serve most of design problems for the average hydrocarbon and chemical systems. They are empirical correlations and the application in new systems is unpredictable. For this reason results for efficiencies are... 

Brushing Suitable for use on most articles, but use limited for economic reasons. Results rely almost entirely on skill of the operator Labour cost is high... 

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