Numbers Method

The second method uses dimensionless numbers to predict scale-up parameters. The use of dimensionless numbers simplifies design calculations by reducing the number of variables to consider. The dimensionless number approach has been used with good success in heat transfer calculations and to some extent in gas dispersion (mass transfer) for mixer scale-up. Usually, the primary independent variable in a dimensionless number correlation is Reynolds number  

Other dimensionless numbers are widely used for various scale-up applications. One example is Froude number  

Another example is the power number, which is a function of the Reynolds number and the Froude number  

Both of the above methods belong to a traditional fluid mechanical approach known as dimensional analysis (2). Unfortunately, these methods cannot always achieve results in various manufacturing environments. Therefore, the third method is introduced below and can be easily applied to various research and production situations. This method actually is a combination of the first two methods. 

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This reference system is considered to be more useful than the conventional superscript number method since it enables the reader to see immediately in which year and in which journal (at least for the more common journals whose letter codes soon become familiar) the work cited was published. The reader is thus able to go directly to the original literature reference without having to consult a bibliography. It also provides the author and editor with the considerable advantage of being able to add or delete references up to the final submission of the manuscript without altering the numbering system. 

Selection 2 is a similar calculation using the F-Number method (Section 2.5.3.2) 3 calculates the integral over the Chi-Squared distribution. When selected i nput the upper limit of integration... 

Viscosity Correction Using Reynold s Number Method of API RP520... 

Of course, the oxidation number method gives the same balanced equation as the half-reaction method. 

The other procedure which is of value in the calculation of the equivalents of substances is the oxidation number method. This is a development of the view that oxidation and reduction are attended by changes in electronic charge and was originally developed from an examination of the formulae of the initial and final compounds in a reaction. The oxidation number (this will be abbreviated to O.N.) of an element is a number which, applied to that element in a particular compound, indicates the amount of oxidation or reduction which is required to convert one atom of the element from the free state to that in the compound. If oxidation is necessary to effect the change, the oxidation number is positive, and if reduction is necessary, the oxidation number is negative. 

Oxidation number 851, (T) 853 rules for determining. 851 Oxidation number method 851 Oxidation-reduction cells 64 Oxidation-reduction curve 361 Oxidation-reduction indicators (T) 367 Oxidation-reduction reactions 67, 258, 360,... 

Polypeptide Reference Molecular weight or number Method of Applied phys. or... 

Mesh Number Methods for IC Uniform Pressure on Rectangular Hertzian Pressure on Circle ... 

Clearing zones on agar plates Most probable number methods... 

Experiment number Method parameter Observed result... 

The hydroxyl value (or hydroxyl number) method measures the number of -OH groups on a molecule. The result is reported in milligram of potassium hydroxide titrated by a sample of 1 g size thus it is a measure of both the chain length/molecular weight and purity of a... 

Some redox reactions may be simply balanced by inspection. However, many are complex and require the use of a systematic method. There are two methods commonly used to balance redox reactions the oxidation number method and the ion-electron method. 

To balance a redox reaction using the oxidation number method, follow the following rules ... 

Brown, E. J. and Braddock, J. F., 1990, Sheen Screen, a Miniaturized Most Probable Number Method for Enumeration of Oil-Degrading Micro-Organisms Applied and Environmental Microbiology, December, pp. 3895-3896. 

In Section 20.2, a redox reaction involving copper and nitric acid is discussed. This reaction is balanced by a method called the oxidation-number method. In this lab, you will carry out this reaction, along with another redox reaction that involves a common household substance. You will practice balancing various redox reactions using both the oxidation-number method (from Section 20.2) and the half-reaction method (from Section 20.3). 

Balance redox reactions using the oxidation-number method. 

In fact, you can use oxidation numbers to balance a chemical equation by a new method. The oxidation number method is a method of balancing redox equations by ensuring that the total increase in the oxidation numbers of the oxidized element(s) equals the total decrease in the oxidation numbers of the reduced element(s). 

A summary of the steps of the oxidation number method is given below. 

In this section, you will write balanced equations for redox reactions using the oxidation number method... 

Explain why none of the steps in the oxidation number method result in equations that include electrons, e . 

Use the oxidation number method to balance the following equation for the combustion of carbon disulfide. 

In this section, you iearned how to use the oxidation number method to haiance redox equations. You now know various techniques for recognizing and representing redox reactions. In Chapter 11, you will use these techniques to examine specific appiications of redox reactions in the business worid and in your daiiy iife. 

Q O The combustion of ammonia in oxygen to form nitrogen dioxide and water vapour involves covalent molecules in the gas phase. The oxidation number method for balancing the equation was shown in an example in this section. Devise a half-reaction method for balancing the equation. Describe the assumptions you made in order to balance the equation. Also, describe why these assumptions did not affect the final result. 

Gompare the half-reaction and oxidation number methods of balancing equations. 

The following redox reactions occur in basic solution. Balance the equations using the oxidation number method. 

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