Effect of ε value on conversion in PFR reactor: Consider the following similar reaction stoichiometries (assume gas phase reaction): Case a:  A +  B  →  C Case b:  A +  B  →  2C Case c:  A +  B  →  4C Use the same reaction rate law of –rA= kCACBfor all three cases, with k = 0.2 L/gr mole-min.  The reactor feeds are FA0= 3 gr mole/min and FB0= 5 gr mole/min; volumetric flow rate is 5 L/min.  Also, there are no inerts present, and there is no C in the feed.  Using a single-tube plug flow reactor of dimensions length L = 6 m and ID = 0.1 m, prepare the integral form of the PFR reactor design equation(with rate law and constants substituted into the equation) for each case.  Then, use your calculator, numerical integration, or MATLAB to solve the differential equation dXA/dV for each case.  Using the output of XAversus V (the cumulative volume as one travels along the reaction length) for all three cases, create a single plot of XA(y-axis) versus V (X-axis), and label each of the three curves on the plot with its respective value of ε. Which value of ε (which case) gives the highest value of conversion?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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  1. Effect of ε value on conversion in PFR reactor: Consider the following similar reaction stoichiometries (assume gas phase reaction):

Case a:  A +  B  →  C

Case b:  A +  B  →  2C

Case c:  A +  B  →  4C

Use the same reaction rate law of –rA= kCACBfor all three cases, with k = 0.2 L/gr mole-min.  The reactor feeds are FA0= 3 gr mole/min and FB0= 5 gr mole/min; volumetric flow rate is 5 L/min.  Also, there are no inerts present, and there is no C in the feed.  Using a single-tube plug flow reactor of dimensions length L = 6 m and ID = 0.1 m, prepare the integral form of the PFR reactor design equation(with rate law and constants substituted into the equation) for each case.  Then, use your calculator, numerical integration, or MATLAB to solve the differential equation dXA/dV for each case.  Using the output of XAversus V (the cumulative volume as one travels along the reaction length) for all three cases, create a single plot of XA(y-axis) versus V (X-axis), and label each of the three curves on the plot with its respective value of ε. Which value of ε (which case) gives the highest value of conversion?

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