Final Reactant Conversion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final Reactant Conversion = ((Recycle Ratio+1)/Recycle Ratio)*Total Feed Reactant Conversion
Xf = ((R+1)/R)*X1
This formula uses 3 Variables
Variables Used
Final Reactant Conversion - Final Reactant Conversion gives us the percentage reactant conversion after the reaction.
Recycle Ratio - Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams.
Total Feed Reactant Conversion - Total Feed Reactant Conversion gives us amount of reactant conversion after addition of recycle stream.
STEP 1: Convert Input(s) to Base Unit
Recycle Ratio: 0.3 --> No Conversion Required
Total Feed Reactant Conversion: 0.1385 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Xf = ((R+1)/R)*X1 --> ((0.3+1)/0.3)*0.1385
Evaluating ... ...
Xf = 0.600166666666667
STEP 3: Convert Result to Output's Unit
0.600166666666667 --> No Conversion Required
FINAL ANSWER
0.600166666666667 0.600167 <-- Final Reactant Conversion
(Calculation completed in 00.004 seconds)

Credits

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Created by akhilesh
K. K. Wagh Institute of Engineering Education and Research (K.K.W.I.E.E.R.), Nashik
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Recycle Reactor Calculators

Rate Constant for First Order Reaction using Recycle Ratio
​ LaTeX ​ Go Rate Constant for First Order Reaction = ((Recycle Ratio+1)/Space Time)*ln((Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration))/((Recycle Ratio+1)*Final Reactant Concentration))
Recycle Ratio using Reactant Conversion
​ LaTeX ​ Go Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)
Recycle Ratio using Total Feed Rate
​ LaTeX ​ Go Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1
Recycle Ratio
​ LaTeX ​ Go Recycle Ratio = Volume Returned/Volume Discharged

Important Formulas in Design of Reactors and Recycle Reactors for Single Reactions Calculators

Initial Reactant Concentration for First Order Reaction using Reaction Rate
​ LaTeX ​ Go Initial Reactant Concentration = (Adjusted Retention Time of Comp 2*Reaction Rate for Vessel i)/(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i)
Initial Reactant Concentration for First Order Reaction in Vessel i
​ LaTeX ​ Go Reactant Concentration in Vessel i-1 = Reactant Concentration in Vessel i*(1+(Rate Constant for First Order Reaction*Adjusted Retention Time of Comp 2))
Reactant Concentration for First Order Reaction in Vessel i
​ LaTeX ​ Go Reactant Concentration in Vessel i = Reactant Concentration in Vessel i-1/(1+(Rate Constant for First Order Reaction*Adjusted Retention Time of Comp 2))
Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors
​ LaTeX ​ Go Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))

Final Reactant Conversion Formula

​LaTeX ​Go
Final Reactant Conversion = ((Recycle Ratio+1)/Recycle Ratio)*Total Feed Reactant Conversion
Xf = ((R+1)/R)*X1

What is recycle in chemical engineering?

The essentials of the recycling method are that the mixture of both reacted and unreacted products reaches a separating system beyond the reactor where these products are separated from each other; then the unreacted part mixes with the fresh feed stock and the resulting mixture is passed into the reactor.

Why is chemical recycling important?

Chemical recycling could reduce the amount of plastic that ends up in landfills, thereby potentially reducing the release of harmful chemicals into the environment. Chemical recycling can also produce high-quality raw materials, thereby decreasing demand for fossil fuels and other natural resources.

How to Calculate Final Reactant Conversion?

Final Reactant Conversion calculator uses Final Reactant Conversion = ((Recycle Ratio+1)/Recycle Ratio)*Total Feed Reactant Conversion to calculate the Final Reactant Conversion, The Final Reactant Conversion formula is defined as the fraction of reactant converted after leaving the reaction system or reactor. Final Reactant Conversion is denoted by Xf symbol.

How to calculate Final Reactant Conversion using this online calculator? To use this online calculator for Final Reactant Conversion, enter Recycle Ratio (R) & Total Feed Reactant Conversion (X1) and hit the calculate button. Here is how the Final Reactant Conversion calculation can be explained with given input values -> 0.600167 = ((0.3+1)/0.3)*0.1385.

FAQ

What is Final Reactant Conversion?
The Final Reactant Conversion formula is defined as the fraction of reactant converted after leaving the reaction system or reactor and is represented as Xf = ((R+1)/R)*X1 or Final Reactant Conversion = ((Recycle Ratio+1)/Recycle Ratio)*Total Feed Reactant Conversion. Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams & Total Feed Reactant Conversion gives us amount of reactant conversion after addition of recycle stream.
How to calculate Final Reactant Conversion?
The Final Reactant Conversion formula is defined as the fraction of reactant converted after leaving the reaction system or reactor is calculated using Final Reactant Conversion = ((Recycle Ratio+1)/Recycle Ratio)*Total Feed Reactant Conversion. To calculate Final Reactant Conversion, you need Recycle Ratio (R) & Total Feed Reactant Conversion (X1). With our tool, you need to enter the respective value for Recycle Ratio & Total Feed Reactant Conversion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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