Recycle Ratio using Reactant Conversion Calculator

✖Final Reactant Conversion gives us the percentage reactant conversion after the reaction.ⓘ Final Reactant Conversion [X_f]			+10% -10%
✖Total Feed Reactant Conversion gives us amount of reactant conversion after addition of recycle stream.ⓘ Total Feed Reactant Conversion [X₁]			+10% -10%

✖Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams.ⓘ Recycle Ratio using Reactant Conversion [R]

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Formula

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Recycle Ratio using Reactant Conversion

Formula

R = \frac{1}{(\frac{X f}{X 1}) - 1}

Example

0.300108 = \frac{1}{(\frac{0.6}{0.1385}) - 1}

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Recycle Ratio using Reactant Conversion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)
R = 1/((X_f/X₁)-1)
This formula uses 3 Variables

Variables Used

Recycle Ratio - Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams.
Final Reactant Conversion - Final Reactant Conversion gives us the percentage reactant conversion after the reaction.
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

Final Reactant Conversion: 0.6 --> No Conversion Required
Total Feed Reactant Conversion: 0.1385 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = 1/((X_f/X₁)-1) --> 1/((0.6/0.1385)-1)

Evaluating ... ...

R = 0.300108342361864

STEP 3: Convert Result to Output's Unit

0.300108342361864 --> No Conversion Required

FINAL ANSWER

0.300108342361864 ≈ 0.300108 <-- Recycle Ratio

(Calculation completed in 00.005 seconds)

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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

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

Go Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)

Recycle Ratio using Total Feed Rate

Go Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1

Recycle Ratio

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

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

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

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

Go Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))

Recycle Ratio using Reactant Conversion Formula

Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)
R = 1/((X_f/X₁)-1)

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 Recycle Ratio using Reactant Conversion?

Recycle Ratio using Reactant Conversion calculator uses Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1) to calculate the Recycle Ratio, The Recycle Ratio using Reactant Conversion formula is defined as volume of feed, returned to the reactor entrance divided by volume of the leaving streams. Recycle Ratio is denoted by R symbol.

How to calculate Recycle Ratio using Reactant Conversion using this online calculator? To use this online calculator for Recycle Ratio using Reactant Conversion, enter Final Reactant Conversion (X_f) & Total Feed Reactant Conversion (X₁) and hit the calculate button. Here is how the Recycle Ratio using Reactant Conversion calculation can be explained with given input values -> 0.300108 = 1/((0.6/0.1385)-1).

FAQ

What is Recycle Ratio using Reactant Conversion?

The Recycle Ratio using Reactant Conversion formula is defined as volume of feed, returned to the reactor entrance divided by volume of the leaving streams and is represented as R = 1/((X_f/X₁)-1) or Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1). Final Reactant Conversion gives us the percentage reactant conversion after the reaction & Total Feed Reactant Conversion gives us amount of reactant conversion after addition of recycle stream.

How to calculate Recycle Ratio using Reactant Conversion?

The Recycle Ratio using Reactant Conversion formula is defined as volume of feed, returned to the reactor entrance divided by volume of the leaving streams is calculated using Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1). To calculate Recycle Ratio using Reactant Conversion, you need Final Reactant Conversion (X_f) & Total Feed Reactant Conversion (X₁). With our tool, you need to enter the respective value for Final Reactant Conversion & 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.

How many ways are there to calculate Recycle Ratio?

In this formula, Recycle Ratio uses Final Reactant Conversion & Total Feed Reactant Conversion. We can use 3 other way(s) to calculate the same, which is/are as follows -

Recycle Ratio = Volume Returned/Volume Discharged
Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1
Recycle Ratio = Volume Returned/Volume Discharged

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