Fully Characterized First Order Reaction Mixtures

1 Fully Characterized First Order Reaction Mixtures 

For first-order reactions in a plug flow reactor (PFR), C f) = h k)ex -kt)dk. To portray a wide variety of feed properties with just 

(14) gives C(i) = (1 + kt implying an overall n th-order kinetics with an overall rate constant k, namely, 

The continuum treatment yields an expUcit expression for the overall kinetics whose parameters relate macroscopic behavior to microscopic details of the feed. In the discrete mixture case, C is the sum of a bunch of exponential functions with a very large munber of parameters. All one can say is that the nC vs. t curve is concave upward , implying that C(t) can generally be fitted with an overall order higher than one. Sau et al. extended the continuum approach to include the effects of H2S inhibition, H2 partial pressure, and nonisothermality. In many petroleum refining processes, k can be related to the boiling point distribution.  

The foregoing results are obtained from a single gamma distribution. In practice, the distributions of sulfur compoimd types can be monomodal or bimodal. One may use a pair of gamma functions to describe a bimodal distribution. Distributions other than the gamma function have been 

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