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

STEP 0: Pre-Calculation Summary
Formula Used
Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Adjusted Retention Time of Comp 2
ri = (C i-1-Ci)/trC2'
This formula uses 4 Variables
Variables Used
Reaction Rate for Vessel i - (Measured in Mole per Cubic Meter Second) - Reaction Rate for Vessel i is the rate at which a reaction occurs to achieve the desire product.
Reactant Concentration in Vessel i-1 - (Measured in Mole per Cubic Meter) - Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1.
Reactant Concentration in Vessel i - (Measured in Mole per Cubic Meter) - Reactant Concentration in Vessel i is the amount of reactant per solvent in Vessel i.
Adjusted Retention Time of Comp 2 - (Measured in Second) - Adjusted Retention Time of Comp 2 is the removal of time taken by the mobile phase to travel the column from the retention time of solute 2.
STEP 1: Convert Input(s) to Base Unit
Reactant Concentration in Vessel i-1: 50 Mole per Cubic Meter --> 50 Mole per Cubic Meter No Conversion Required
Reactant Concentration in Vessel i: 30 Mole per Cubic Meter --> 30 Mole per Cubic Meter No Conversion Required
Adjusted Retention Time of Comp 2: 45 Second --> 45 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = (C i-1-Ci)/trC2' --> (50-30)/45
Evaluating ... ...
ri = 0.444444444444444
STEP 3: Convert Result to Output's Unit
0.444444444444444 Mole per Cubic Meter Second --> No Conversion Required
FINAL ANSWER
0.444444444444444 0.444444 Mole per Cubic Meter Second <-- Reaction Rate for Vessel i
(Calculation completed in 00.004 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!

22 Design for Single Reactions Calculators

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)
Rate Constant for First Order Reaction in Vessel i
Go Rate Constant for First Order Reaction = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i*Space Time for Vessel i)
Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors
Go Rate Constant for Second Order Reaction = (1/(Initial Reactant Concentration*Space Time for Plug Flow Reactor))*((Initial Reactant Concentration/Reactant Concentration)-1)
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
Reaction Rate for Vessel i using Space Time
Go Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i
Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors
Go Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration)
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
Initial Reactant Concentration for First Order Reaction using Molar Feed Rate
Go Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i
Molar Feed Rate for First Order Reaction for Vessel i
Go Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i
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

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

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

Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Adjusted Retention Time of Comp 2
ri = (C i-1-Ci)/trC2'

What is continuous stirred-tank reactor?

The continuous stirred-tank reactor (CSTR), also known as vat- or backmix reactor, mixed flow reactor (MFR), or a continuous-flow stirred-tank reactor (CFSTR), is a common model for a chemical reactor in chemical engineering and environmental engineering. A CSTR often refers to a model used to estimate the key unit operation variables when using a continuous agitated-tank reactor to reach a specified output. The mathematical model works for all fluids: liquids, gases, and slurries.

What is the difference between CSTR and PFR?

A PFR has a higher theoretical efficiency than a CSTR of the same volume. That is, given the same space-time (or residence time), a reaction will proceed to a higher percentage completion in a PFR than in a CSTR. This is not always true for reversible reactions.

How to Calculate Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series?

Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series calculator uses Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Adjusted Retention Time of Comp 2 to calculate the Reaction Rate for Vessel i, The Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the speed with which reaction proceeds in vessel i. Reaction Rate for Vessel i is denoted by ri symbol.

How to calculate Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series using this online calculator? To use this online calculator for Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series, enter Reactant Concentration in Vessel i-1 (C i-1), Reactant Concentration in Vessel i (Ci) & Adjusted Retention Time of Comp 2 (trC2') and hit the calculate button. Here is how the Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series calculation can be explained with given input values -> 75.24 = (50-30)/45.

FAQ

What is Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series?
The Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the speed with which reaction proceeds in vessel i and is represented as ri = (C i-1-Ci)/trC2' or Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Adjusted Retention Time of Comp 2. Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1, Reactant Concentration in Vessel i is the amount of reactant per solvent in Vessel i & Adjusted Retention Time of Comp 2 is the removal of time taken by the mobile phase to travel the column from the retention time of solute 2.
How to calculate Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series?
The Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the speed with which reaction proceeds in vessel i is calculated using Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Adjusted Retention Time of Comp 2. To calculate Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series, you need Reactant Concentration in Vessel i-1 (C i-1), Reactant Concentration in Vessel i (Ci) & Adjusted Retention Time of Comp 2 (trC2'). With our tool, you need to enter the respective value for Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Adjusted Retention Time of Comp 2 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 Reaction Rate for Vessel i?
In this formula, Reaction Rate for Vessel i uses Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Adjusted Retention Time of Comp 2. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!