Volumetric Flow Rate for First Order Reaction for Vessel i Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volumetric Flow Rate = Volume of Vessel i/Adjusted Retention Time of Comp 2
υ = Vi/trC2'
This formula uses 3 Variables
Variables Used
Volumetric Flow Rate - (Measured in Cubic Meter per Second) - Volumetric Flow Rate gives the volume of the reactants stream being fed to the reactor per unit time.
Volume of Vessel i - (Measured in Cubic Meter) - Volume of Vessel i gives the capacity of reactor 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
Volume of Vessel i: 3 Cubic Meter --> 3 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
υ = Vi/trC2' --> 3/45
Evaluating ... ...
υ = 0.0666666666666667
STEP 3: Convert Result to Output's Unit
0.0666666666666667 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
0.0666666666666667 0.066667 Cubic Meter per Second <-- Volumetric Flow Rate
(Calculation completed in 00.020 seconds)

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Design for Single Reactions Calculators

Space Time for First Order Reaction for Vessel i using Reaction Rate
​ LaTeX ​ 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
​ LaTeX ​ 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
Space Time for First Order Reaction for Vessel i using Molar Flow Rate
​ LaTeX ​ Go Adjusted Retention Time of Comp 2 = (Volume of Vessel i*Initial Reactant Concentration)/Molar Feed Rate
Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate
​ LaTeX ​ Go Adjusted Retention Time of Comp 2 = Volume of Vessel i/Volumetric Flow Rate

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))

Volumetric Flow Rate for First Order Reaction for Vessel i Formula

​LaTeX ​Go
Volumetric Flow Rate = Volume of Vessel i/Adjusted Retention Time of Comp 2
υ = Vi/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 first order reaction?

A first-order reaction can be defined as a chemical reaction in which the reaction rate is linearly dependent on the concentration of only one reactant. In other words, a first-order reaction is a chemical reaction in which the rate varies based on the changes in the concentration of only one of the reactants.

How to Calculate Volumetric Flow Rate for First Order Reaction for Vessel i?

Volumetric Flow Rate for First Order Reaction for Vessel i calculator uses Volumetric Flow Rate = Volume of Vessel i/Adjusted Retention Time of Comp 2 to calculate the Volumetric Flow Rate, The Volumetric Flow Rate for First Order Reaction for Vessel i formula is defined as the volume of the reactant stream being fed to the vessel i per unit time for first order reaction. Volumetric Flow Rate is denoted by υ symbol.

How to calculate Volumetric Flow Rate for First Order Reaction for Vessel i using this online calculator? To use this online calculator for Volumetric Flow Rate for First Order Reaction for Vessel i, enter Volume of Vessel i (Vi) & Adjusted Retention Time of Comp 2 (trC2') and hit the calculate button. Here is how the Volumetric Flow Rate for First Order Reaction for Vessel i calculation can be explained with given input values -> 0.066667 = 3/45.

FAQ

What is Volumetric Flow Rate for First Order Reaction for Vessel i?
The Volumetric Flow Rate for First Order Reaction for Vessel i formula is defined as the volume of the reactant stream being fed to the vessel i per unit time for first order reaction and is represented as υ = Vi/trC2' or Volumetric Flow Rate = Volume of Vessel i/Adjusted Retention Time of Comp 2. Volume of Vessel i gives the capacity of reactor 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 Volumetric Flow Rate for First Order Reaction for Vessel i?
The Volumetric Flow Rate for First Order Reaction for Vessel i formula is defined as the volume of the reactant stream being fed to the vessel i per unit time for first order reaction is calculated using Volumetric Flow Rate = Volume of Vessel i/Adjusted Retention Time of Comp 2. To calculate Volumetric Flow Rate for First Order Reaction for Vessel i, you need Volume of Vessel i (Vi) & Adjusted Retention Time of Comp 2 (trC2'). With our tool, you need to enter the respective value for Volume of 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.
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