Recycle Ratio using Total Feed Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1
R = (F0'/F)-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.
Total Molar Feed Rate - (Measured in Mole per Second) - Total Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time where it is combination of fresh feed stream and recycle stream.
Fresh Molar Feed Rate - (Measured in Mole per Second) - Fresh Molar Feed Rate gives the number of moles of fresh reactant being fed to the reactor per unit time.
STEP 1: Convert Input(s) to Base Unit
Total Molar Feed Rate: 15 Mole per Second --> 15 Mole per Second No Conversion Required
Fresh Molar Feed Rate: 12 Mole per Second --> 12 Mole per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (F0'/F)-1 --> (15/12)-1
Evaluating ... ...
R = 0.25
STEP 3: Convert Result to Output's Unit
0.25 --> No Conversion Required
FINAL ANSWER
0.25 <-- Recycle Ratio
(Calculation completed in 00.004 seconds)

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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))

Recycle Ratio using Total Feed Rate Formula

​LaTeX ​Go
Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1
R = (F0'/F)-1

What is molar flow rate?

Molar flow rate is defined as the number of moles of a material that passes a reference plane within a unit time interval.

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.

How to Calculate Recycle Ratio using Total Feed Rate?

Recycle Ratio using Total Feed Rate calculator uses Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1 to calculate the Recycle Ratio, The Recycle Ratio using Total Feed Rate 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 Total Feed Rate using this online calculator? To use this online calculator for Recycle Ratio using Total Feed Rate, enter Total Molar Feed Rate (F0') & Fresh Molar Feed Rate (F) and hit the calculate button. Here is how the Recycle Ratio using Total Feed Rate calculation can be explained with given input values -> 0.25 = (15/12)-1.

FAQ

What is Recycle Ratio using Total Feed Rate?
The Recycle Ratio using Total Feed Rate formula is defined as volume of feed, returned to the reactor entrance divided by volume of the leaving streams and is represented as R = (F0'/F)-1 or Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1. Total Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time where it is combination of fresh feed stream and recycle stream & Fresh Molar Feed Rate gives the number of moles of fresh reactant being fed to the reactor per unit time.
How to calculate Recycle Ratio using Total Feed Rate?
The Recycle Ratio using Total Feed Rate formula is defined as volume of feed, returned to the reactor entrance divided by volume of the leaving streams is calculated using Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1. To calculate Recycle Ratio using Total Feed Rate, you need Total Molar Feed Rate (F0') & Fresh Molar Feed Rate (F). With our tool, you need to enter the respective value for Total Molar Feed Rate & Fresh Molar Feed Rate 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 Total Molar Feed Rate & Fresh Molar Feed Rate. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Recycle Ratio = Volume Returned/Volume Discharged
  • Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)
  • Recycle Ratio = Volume Returned/Volume Discharged
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