Yield overall fractional

The following details establish reactor performance, considers the overall fractional yield, and predicts the concentration profiles with time of complex reactions in batch systems using the Runge-Kutta numerical method of analysis. 

Y r overall fractional yield of species R ep porosity of pellet or particle... 

The fractional yield of a product is a measure of how selective a particular reactant is in forming a particular product, and hence is sometimes referred to as selectivity.1 Two ways of representing selectivity are (1) the overall fractional yield (from inlet to a particular point such as the outlet) and (2) the instantaneous fractional yield (at a... 

For the stoichiometric scheme in Section 5.2.3, the overall fractional yield of D with respect to A, SD/A, is... 

Assuming that the feed contains only A and B, compare (i) the overall fractional yield, SD/A, at the outlet, and (ii) the rate of production of D from a PFR consisting of (a) a single 30-L vessel (Figure 18.4a), and (b) three 10-L vessels in series, with the feed of B split... 

For any particular set of reactions and rate equations is a function of Ca, and since in general varies through the reactor, cp will also change with position in the reactor. So let us define O as the fraction of all the reacted A that has been converted into R, and let us call this the overall fractional yield o/R. The overall fractional yield is then the mean of the instantaneous fractional yields at all points within the reactor thus we may write... 

It is the overall fractional yield that really concerns us for it represents the product distribution at the reactor outlet. Now the proper averaging for cp depends... 

For a series of 1, 2,. .., N mixed flow reactors in which the concentration of A is Cai, Ca2, . , Cpj, the overall fractional yield is obtained by summing the fractional yields in each of the N vessels and weighting these values by the amount of reaction occurring in each vessel. Thus... 

Mi M M Mmax 71 O2 T ) X A Yi dimensionless time units [t/t] (-) chemical potential of species i fluid viscosity, (kg/m s), Pa s specific growth rate, s 1 maximum specific growth rate, s 1 total pressure (Pa) variance of a tracer curve or distribution functions (s2) space time CAOV/uCAO (s) stoichiometric coefficient ratio overall fractional yield Life expectancy, s difference 2 / "2 dimensionless variance ct /1 (-) fugacity coefficient (= f,/p)... 

Appropriate stoichiometric coefficients are employed to ensure that y and Y lie between zero and 1. The overall fractional yield is the average of the instantaneous fractional yield integrated over the reactor. The proper averaging technique depends on the type of reactor employed. Because the fluid composition is constant throughout the volume of a single CSTR, this type of... 

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