Elements of Chemical Reaction ering 4th Ed - H. Scott Fogler 41

Elements of Chemical Reaction ering 4th Ed - H. Scott Fogler 41

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Sec. 1.2 The General Mole Balance Equation 9 where N, represents the number of moles of species j in the system at time t. If all the system variable5 le.~., temperature. catalytic activity, concentration of she chemical species) are spatially uniform throughout the system volume, the rate of generation of specie? j, G,. is jurt the product of the reaction volume. V. and the rate of formation of species j, r,. Suppose now that the rate of formation of species j for the reaction varies with the position in the system volume. Thai is. it has a value r,, at location I. which is surrounded
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Unformatted text preview: by a small volume, A V l , within which the rate is uni- form: similarly, the reaction rate has a value x,? at location 2 and an aswciated volume, AV, (Figure 1-4). Figure 1-4 Dividing up the system volume, K The rate of generation, AG,, , i n terms of r j l and subvolume AVt , is AG,, = rj, hV1 Similar expressions can be written for AG,? and the other system subvolumes, AV,. The total rate of generation wirhin the system volume is the sum of all the rates of generation in each of the subvolurnes. If the total system volume is divided into rM subvoIumes, the total rate of generation is...
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