103 409
Assignments Done
98.6%
Successfully Done
In November 2021

# Answer to Question #231006 in Chemical Engineering for Lucky

Question #231006

"An infinite equal size mixed flow reactors connected in series will give same performance as a single plug flow reactor" Justify.

1
Expert's answer
2021-08-31T23:57:06-0400

The mixed reactor is always bigger than the plug flow reactor for any given job, and all positive reaction commands. The volume-to-volume ratio rises as response order rises. When the conversion is minimal, flow type has only a little impact on reactor performance. At high conversion, the performance ratio rises extremely quickly; as a result, a good depiction of the flow becomes critical in this range of conversion. The fluctuation in density throughout the reaction affects the design, although it is usually secondary to the variance inflow type.

Consider a Plug Flow Reactors in Series

N plug flow reactors

X_1, X_2, . . . , X_N

The fractional conversion of component A leaving reactor 1, 2, . . . , N

For the ith reactor

\frac{V_i}{F_0}= \int_{X_{i-1}}^{X_i} \frac{dX}{-r}

For several reactors with a total volume of V

\frac{V}{F_o}= \sum^N_{i=1} \frac{V_i}{F_o}= \frac{V_1+V_2+...+V_0}{F_o}\\ =\int_{X_{0=0}}^{X_1} \frac{dX}{-r}+\int_{X_{1}}^{X_2} \frac{dX}{-r}+...+\int_{X_{N-1}}^{X_N} \frac{dX}{-r}=\int_{0}^{X_N} \frac{dX}{-r}

N plug flow reactors in series with a total volume V gives the same conversion as

a single plug flow reactor of volume V

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

#### Comments

No comments. Be the first!

### Ask Your question

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS