Cumulative Distribution and Residence Time Distribution Curves

Consider the following mixture distribution:
You can change this distribution's properties by setting values for , , , and . This Demonstration plots this distribution. For specific values of , , , and , one can obtain a bimodal distribution, which mimics the residence time distribution () of a batch reactor.
This Demonstration also computes the cumulative distribution curve, , which as expected exhibits two plateaus in the case of a bimodal . The cumulative distribution is given by the following definition: , where is the residence time distribution.


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[1] H. S. Fogler, Elements of Chemical Reaction Engineering, 3rd ed., Upper Saddle River, NJ: Prentice Hall, 1999.
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