Recycle Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Recycle Ratio = Volume Returned/Volume Discharged
R = VR/VD
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.
Volume Returned - (Measured in Cubic Meter) - Volume Returned is the volume of the fluid returned to reactor entrance.
Volume Discharged - (Measured in Cubic Meter) - Volume Discharged is the volume leaving the system.
STEP 1: Convert Input(s) to Base Unit
Volume Returned: 40 Cubic Meter --> 40 Cubic Meter No Conversion Required
Volume Discharged: 133.33 Cubic Meter --> 133.33 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = VR/VD --> 40/133.33
Evaluating ... ...
R = 0.300007500187505
STEP 3: Convert Result to Output's Unit
0.300007500187505 --> No Conversion Required
FINAL ANSWER
0.300007500187505 0.300008 <-- Recycle Ratio
(Calculation completed in 00.020 seconds)

Credits

Created by akhilesh
K. K. Wagh Institute of Engineering Education and Research (K.K.W.I.E.E.R.), Nashik
akhilesh has created this Calculator and 200+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

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
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))
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

Recycle Ratio Formula

Recycle Ratio = Volume Returned/Volume Discharged
R = VR/VD

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?

Recycle Ratio calculator uses Recycle Ratio = Volume Returned/Volume Discharged to calculate the Recycle Ratio, The Recycle Ratio formula is defined as the volume of feed returned to the reactor entrance divided by the volume of the leaving streams. Recycle Ratio is denoted by R symbol.

How to calculate Recycle Ratio using this online calculator? To use this online calculator for Recycle Ratio, enter Volume Returned (VR) & Volume Discharged (VD) and hit the calculate button. Here is how the Recycle Ratio calculation can be explained with given input values -> 0.300008 = 40/133.33.

FAQ

What is Recycle Ratio?
The Recycle Ratio formula is defined as the volume of feed returned to the reactor entrance divided by the volume of the leaving streams and is represented as R = VR/VD or Recycle Ratio = Volume Returned/Volume Discharged. Volume Returned is the volume of the fluid returned to reactor entrance & Volume Discharged is the volume leaving the system.
How to calculate Recycle Ratio?
The Recycle Ratio formula is defined as the volume of feed returned to the reactor entrance divided by the volume of the leaving streams is calculated using Recycle Ratio = Volume Returned/Volume Discharged. To calculate Recycle Ratio, you need Volume Returned (VR) & Volume Discharged (VD). With our tool, you need to enter the respective value for Volume Returned & Volume Discharged 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 Volume Returned & Volume Discharged. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1
  • Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)
  • Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)
  • Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!