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

✖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.ⓘ Adjusted Retention Time of Comp 2 [trC2^']			+10% -10%
✖The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time.ⓘ Molar Feed Rate [F₀]			+10% -10%
✖The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration [C_o]			+10% -10%

✖Volume of Vessel i gives the capacity of reactor vessel i.ⓘ Volume of Vessel i for First Order Reaction using Molar Feed Rate [V_i]

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

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Vessel i = (Adjusted Retention Time of Comp 2*Molar Feed Rate)/Initial Reactant Concentration
V_i = (trC2^'*F₀)/C_o
This formula uses 4 Variables

Variables Used

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.
Molar Feed Rate - (Measured in Mole per Second) - The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time.
Initial Reactant Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.

STEP 1: Convert Input(s) to Base Unit

Adjusted Retention Time of Comp 2: 45 Second --> 45 Second No Conversion Required
Molar Feed Rate: 5 Mole per Second --> 5 Mole per Second No Conversion Required
Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = (trC2^'*F₀)/C_o --> (45*5)/80

Evaluating ... ...

V_i = 2.8125

STEP 3: Convert Result to Output's Unit

2.8125 Cubic Meter --> No Conversion Required

FINAL ANSWER

2.8125 Cubic Meter <-- Volume of Vessel i

(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))

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

LaTeX Go

Volume of Vessel i = (Adjusted Retention Time of Comp 2*Molar Feed Rate)/Initial Reactant Concentration
V_i = (trC2^'*F₀)/C_o

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

Volume of Vessel i for First Order Reaction using Molar Feed Rate calculator uses Volume of Vessel i = (Adjusted Retention Time of Comp 2*Molar Feed Rate)/Initial Reactant Concentration to calculate the Volume of Vessel i, The Volume of Vessel i for First Order Reaction using Molar Feed Rate formula is defined as the capacity of reactor named as i in which first order reaction occurs. Volume of Vessel i is denoted by V_i symbol.

How to calculate Volume of Vessel i for First Order Reaction using Molar Feed Rate using this online calculator? To use this online calculator for Volume of Vessel i for First Order Reaction using Molar Feed Rate, enter Adjusted Retention Time of Comp 2 (trC2^'), Molar Feed Rate (F₀) & Initial Reactant Concentration (C_o) and hit the calculate button. Here is how the Volume of Vessel i for First Order Reaction using Molar Feed Rate calculation can be explained with given input values -> 2.8125 = (45*5)/80.

FAQ

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

The Volume of Vessel i for First Order Reaction using Molar Feed Rate formula is defined as the capacity of reactor named as i in which first order reaction occurs and is represented as V_i = (trC2^'*F₀)/C_o or Volume of Vessel i = (Adjusted Retention Time of Comp 2*Molar Feed Rate)/Initial Reactant Concentration. 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, The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time & The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.

How to calculate Volume of Vessel i for First Order Reaction using Molar Feed Rate?

The Volume of Vessel i for First Order Reaction using Molar Feed Rate formula is defined as the capacity of reactor named as i in which first order reaction occurs is calculated using Volume of Vessel i = (Adjusted Retention Time of Comp 2*Molar Feed Rate)/Initial Reactant Concentration. To calculate Volume of Vessel i for First Order Reaction using Molar Feed Rate, you need Adjusted Retention Time of Comp 2 (trC2^'), Molar Feed Rate (F₀) & Initial Reactant Concentration (C_o). With our tool, you need to enter the respective value for Adjusted Retention Time of Comp 2, Molar Feed Rate & Initial Reactant Concentration 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 Volume of Vessel i?

In this formula, Volume of Vessel i uses Adjusted Retention Time of Comp 2, Molar Feed Rate & Initial Reactant Concentration. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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