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

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Total Feed Reactant Conversion

Formula

`"X"_{"1"} = ("R"/("R"+1))*"X"_{"f"}`

Example

`"0.138462"=("0.3"/("0.3"+1))*"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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< 13 Recycle Reactor Calculators

Rate Constant for Second Order Reaction using Recycle Ratio

Go Rate Constant for Second Order Reaction = ((Recycle Ratio+1)*Initial Reactant Concentration*(Initial Reactant Concentration-Final Reactant Concentration))/(Initial Reactant Concentration*Space Time*Final Reactant Concentration*(Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration)))

Space Time for Second Order Reaction using Recycle Ratio

Go Space Time = ((Recycle Ratio+1)*Initial Reactant Concentration*(Initial Reactant Concentration-Final Reactant Concentration))/(Initial Reactant Concentration*Rate Constant for Second Order Reaction*Final Reactant Concentration*(Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration)))

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))

Space Time for First Order Reaction using Recycle Ratio

Go Space Time = ((Recycle Ratio+1)/Rate Constant for First Order Reaction)*ln((Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration))/((Recycle Ratio+1)*Final Reactant Concentration))

Total Feed Reactant Conversion

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

Final Reactant Conversion

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

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

Fresh Molar Feed Rate

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

Total Molar Feed Rate

Go Total Molar Feed Rate = (Recycle Ratio+1)*Fresh Molar Feed Rate

Volume of Fluid returned to Reactor Entrance

Go Volume Returned = Volume Discharged*Recycle Ratio

Volume leaving System

Go Volume Discharged = Volume Returned/Recycle Ratio

Recycle Ratio

Go Recycle Ratio = Volume Returned/Volume Discharged

< 25 Important Formulas in Design of Reactors & Recycle Reactors for Single Reactions Calculators

Rate Constant for Second Order Reaction using Recycle Ratio

Space Time for Second Order Reaction using Recycle Ratio

Rate Constant for First Order Reaction using Recycle Ratio

Space Time for First Order Reaction using Recycle Ratio

Space Time for First Order Reaction in Vessel i

Go Adjusted Retention Time of Comp 2 = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i*Rate Constant for First Order Reaction)

Space Time for Second Order Reaction for Plug Flow or Infinite Reactors

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

Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors

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

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)

Space Time for First Order Reaction for Vessel i using Reaction Rate

Go Adjusted Retention Time of Comp 2 = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Reaction Rate for Vessel i

Space Time for First Order Reaction for Plug Flow or for Infinite Reactors

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

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))

Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series

Go Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Adjusted Retention Time of Comp 2

Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series

Go Adjusted Retention Time of Comp 2 = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Reaction Rate for Vessel i

Space Time for First Order Reaction for Vessel i using Molar Flow Rate

Go Adjusted Retention Time of Comp 2 = (Volume of Vessel i*Initial Reactant Concentration)/Molar Feed Rate

Volume of Vessel i for First Order Reaction using Molar Feed Rate

Go Volume of Vessel i = (Adjusted Retention Time of Comp 2*Molar Feed Rate)/Initial Reactant Concentration

Total Feed Reactant Conversion

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

Final Reactant Conversion

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

Recycle Ratio using Reactant Conversion

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

Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate

Go Adjusted Retention Time of Comp 2 = Volume of Vessel i/Volumetric Flow Rate

Volume of Vessel i for First Order Reaction using Volumetric Flow Rate

Go Volume of Vessel i = Volumetric Flow Rate*Adjusted Retention Time of Comp 2

Volumetric Flow Rate for First Order Reaction for Vessel i

Go Volumetric Flow Rate = Volume of Vessel i/Adjusted Retention Time of Comp 2

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

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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