Total Feed Reactant Conversion Calculator

✖Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams.ⓘ Recycle Ratio [R]			+10% -10%
✖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]

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Formula

✖

Total Feed Reactant Conversion

Formula

X 1 = (\frac{R}{R + 1}) \cdot X f

Example

0.138462 = (\frac{0.3}{0.3 + 1}) \cdot 0.6

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Total Feed Reactant Conversion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Total Feed Reactant Conversion - Total Feed Reactant Conversion gives us amount of reactant conversion after addition of recycle stream.
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.

STEP 1: Convert Input(s) to Base Unit

Recycle Ratio: 0.3 --> No Conversion Required
Final Reactant Conversion: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X₁ = (R/(R+1))*X_f --> (0.3/(0.3+1))*0.6

Evaluating ... ...

X₁ = 0.138461538461538

STEP 3: Convert Result to Output's Unit

0.138461538461538 --> No Conversion Required

FINAL ANSWER

0.138461538461538 ≈ 0.138462 <-- Total Feed Reactant Conversion

(Calculation completed in 00.004 seconds)

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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

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))

Total Feed Reactant Conversion Formula

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

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 Total Feed Reactant Conversion?

Total Feed Reactant Conversion calculator uses Total Feed Reactant Conversion = (Recycle Ratio/(Recycle Ratio+1))*Final Reactant Conversion to calculate the Total Feed Reactant Conversion, The Total Feed Reactant Conversion formula is defined as the percentage of reactant converted after combining with the recycle stream. Total Feed Reactant Conversion is denoted by X₁ symbol.

How to calculate Total Feed Reactant Conversion using this online calculator? To use this online calculator for Total Feed Reactant Conversion, enter Recycle Ratio (R) & Final Reactant Conversion (X_f) and hit the calculate button. Here is how the Total Feed Reactant Conversion calculation can be explained with given input values -> 0.138462 = (0.3/(0.3+1))*0.6.

FAQ

What is Total Feed Reactant Conversion?

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

How to calculate Total Feed Reactant Conversion?

The Total Feed Reactant Conversion formula is defined as the percentage of reactant converted after combining with the recycle stream is calculated using Total Feed Reactant Conversion = (Recycle Ratio/(Recycle Ratio+1))*Final Reactant Conversion. To calculate Total Feed Reactant Conversion, you need Recycle Ratio (R) & Final Reactant Conversion (X_f). With our tool, you need to enter the respective value for Recycle Ratio & Final 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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