The General Mole Balance Equation

A mole balance on species j at any instant in time, i, yields the following equation  

Rate of generation of j by chemical reaction within the system (moles/time) 

Similar expressions can be written for AGji and the other system subvolumes. AVj. The total rate of generation within the system volume is the sum of all the rate.s of generation in each of the subvolumes. If the total system volume is divided into M subvolumes, the total rate of generation is 

From this equation we see that will be an indirect function of position, since the properties of the reacting materials and reaction conditions (e.g., concentration. temperature) can have different values at different locations in the reactor. 

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The general mole balance equation for a reaction component i at a time t in words is... 

Figure 1-4 Contiuuous-stitred tank reactor. When the general mole balance equation...

P1-7a How can you convert the general mole balance equation for a given species, Equation (1-4), to a general mass balance equation for that species ... 

Generally, when analyzing laboratory experiments it is best to process the data in terms of the measured variable, Since concentration is the measured variable for most liquid-phase reactions, the general mole balance equation applied to reactions in which there is no volume change becomes... 

Des n equatioiis. The general mole balance equations (design equatiova) bvtsed... 

In die tubular reactor, the reactants are continually consumed as they flow down the length of the reactor, In modeling the tubular reactor, we assume that the concentration varies continuously in the axial direction through the reactor. Consequently, the reaction rate, which is a function of concentration for all but zero-order reactions, will also vary axially. The general mole balance equation is given by Equation (1-4) ... 

The first chapter focused on the general mole balance equation die balance was applied to the four most common types of industrial reactors, and a design equation was developed for each reactor type. In Chapter 2 we first define con-version and then rewrite the design equations in terms of conversion. After car rying out this operation, we show how one may size a reactor i.e., determine the reactor volume necessary to achieve a specified conversion) once the relationship between reaction rate, r, and conversion is known. 

The startup of a fixed volume CSTR under iscrthennal conditions is rare, but it does occur occasionally. Here we want to determine the time necessary to reach steady-state operation. We begin with the general mole balance equation applied to Figure 4-13a ... 

The General Mole Balance Equation 6 Batch Reactors 8 Continuous-Flow Reactors 10... 

Overview—Chapter 1, This chapter develops the first building block of chemical reaction engineering, mole balances, that will be used continually throughout the text. After completing this chapter the reader will be able to describe and define the rate of reaction, derive the general mole balance equation, and apply the genera mole balance equation to the four most common types of industrial reactors. 

Apply the general mole balance equation to the four most common types of industrial reactors... 

The general mole balance equation is given by Equation (1-4) ... 

Overview. In the hrst chapter, the general mole balance equation was derived and then applied to the four most commcm types of industrial reactors. A balance equation was deveicqred fcM each reactor type and these equations are summarized in Table 1 in Chapter L In Chapter 2, we will show how to size and arrange these reactors conceptually, so that the reader may see the structure of CRE design and will not get lost in the mathematical details. 

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