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The transformation of raw materials into products of greater value by means of chemical reaction is a major industry, and a vast array of commercial products is obtained by chemical synthesis Sulfuric acid, ammonia, ethylene, propylene, phosphoric acid, chlorine, nitric acid, urea, benzene, methanol, ethanol, and ethylene glycol are examples of chemicals produced in the United States in billions of kilograms each year These in turn are used in the large-scale manufacture of fibers, paints, detergents, plastics, rubber, paper, fertilizers, insecticides, etc Clearly, the chemical engineer must be familiar with chemical-reactor design and operation Both the rate and the equilibrium conversion of a chemical reaction depend on the temperature, pressure, and composition of reactants Consider, for example, the oxidation of sulfur dioxide to sulfur trioxide A catalyst is required if a reasonable reaction rate is to be attained With a vanadium pentoxide catalyst the rate becomes appreciable at about 57315 K (300 C) and continues to increase at higher temperatures On the basis of rate alone, one would operate the reactor at the highest practical temperature However, the equilibrium conversion to sulfur trioxide falls as temperature rises, decreasing from about 90% at 79315 K (520 C) to 50% at about 95315 K (680 C) These values represent maximum possible conversions regardless of catalyst or reaction rate The evident conclusion is that both equilibrium and rate must be considered in the exploitation of chemical reactions for commercial purposes Although reaction rates are not susceptible to thermodynamic treatment, equilibrium conversions are Therefore, the purpose of this chapter is to determine the effect of temperature, pressure, and initial composition on the equilibrium conversions of chemical reactions Many industrial reactions are not carried to equilibrium; reactor design is then based primarily on reaction rate However, the choice of operating conditions may still be influenced by equilibrium considerations Moreover, the equilibrium conversion of a reaction provides a goal by which to measure improvements in a process Similarly, it may determine whether or not an experimentalinvestigationof a new process is worthwhileFor example, if thermodynamicanalysis indicates that a yield of only 20% is possible at equilibrium and if a 50% yield is necessary for the process to be economically attractive, there is no purpose to an experimental study On the other hand, if the equilibrium yield is 80%, an experimental program to determine the reaction rate for various conditions of operation (catalyst, temperature, pressure, etc) may be warranted Reaction stoichiometry is treated in Sec 131, and reaction equilibrium, in Sec 132 The equilibrium constant is introduced in Sec 133, and its temperature dependence and evaluation.

9:

are considered in Secs 134 and 135 The connection between the equilibrium constant and composition is developed in Sec 136 The calculation of equilibrium conversions for single reactions is taken up in Sec 137 In Sec 138, the phase rule is reconsidered; multireaction equilibrium is treated in Sec 139;' finally, in Sec 1310 the fuel cell is given an introductory treatment

path will translate to the /lib/modules/2627-custom/ directory This is the path from which the kernel will load all loadable modules, as needed

for the DISPLAY block, for example, include Action, Display, File, Text, Type, and Position. Sometimes, a section will not be visible until other options are selected. Don t let this worry you; I ll be going over all the unique items for each block throughout the book.

The general chemical reaction of Sec 46 is rewritten:

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So now you have a fully compiled kernel just waiting to be installed You probably have a couple of questions: Just where is the compiled kernel, and where the heck do I install it The first question is easy to answer Assuming you have a PC and are working out of the /usr/src/<kernel-source-tree>/ directory, the compiled kernel that was created in the previous exercise will be called /usr/src/<kernel-source-tree>/arch/i386/boot/bzImage or, to be precise, /usr/src/linux-2627/arch/i386/boot/bzImage The corresponding map file for this will be located at /usr/src/<kernel-source-tree>/ Systemmap You ll need both files for the install phase The Systemmap file is useful when the kernel is misbehaving and generating Oops messages An Oops is generated on some kernel errors It may be due to kernel bugs or faulty hardware The Oops error is akin to the Blue Screen of Death (BSOD) in Microsoft Windows These messages include a lot of detail about the current state of the system, including several hexadecimal numbers Systemmap gives Linux a chance to turn those hexadecimal numbers into readable names, making debugging easier Though this is mostly for the benefit of developers, it can be handy when you re reporting a problem Let s go through the steps required to install the new kernel image 1 While in the root of your kernel build directory, copy and rename the bzImage file into the /boot directory:

where I vi I is a stoichiometriccoefficient and Ai stands for a chemical formula The vi themselves are called stoichiometric numbers, and by the sign convention of Sec 46 they are:

[root@serverA linux-26**]# cp arch/i386/boot/bzImage /boot/vmlinuz-< kernel-version > \

Thus for the reaction,

where kernel-version is the version number of the kernel For the sample kernel we are using in this exercise, the filename would be vmlinuz-2627-custom So the exact command for this example is

the stoichiometric numbers are:

NOTE The decision to name the kernel image vmlinuz-2627-custom is somewhat arbitrary It s convenient, because kernel images are commonly referred to as vmlinuz, and the suffix of the version number is useful when you have multiple kernels available Of course, if you want to have multiple versions of the same kernel (for instance, one with SCSI support and the other without it), then you will need to design a more representative name For example, you can choose a name like vmlinuz-2850-wireless for the kernel for a laptop running Linux that has special wireless capabilities

The stoichiometric number for an inert species is zero For the reaction represented by Eq (131), the changes in the numbers of moles of the species present are in direct proportion to the stoichiometric numbers Thus for the preceding reaction, if 05 mol of CH4 disappears by reaction, 05 mol of H 2 0 must also disappear; simultaneously 05 mol of CO and 15 mol of H2 are formed Applied to a differential amount of reaction, this principle provides the equations:

2 Now that the kernel image is in place, copy over and rename the corresponding Systemmap file into the /boot directory using the same naming convention Type

dn3 dnl dn2 - dn1 -etc Y v1 v3 v1 The list continues to include all species Comparison of these equations yields:

3 With the kernel in place, the Systemmap file in place, and the modules in place, we are now ready for the final step Type

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