Molar Feed Rate for First Order Reaction for Vessel i Calculator

✖Volume of Vessel i gives the capacity of reactor vessel i.ⓘ Volume of Vessel i [V_i]			+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%
✖Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.ⓘ Space Time for Vessel i [𝛕_i]			+10% -10%

✖The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time.ⓘ Molar Feed Rate for First Order Reaction for Vessel i [F₀]

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Formula

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Molar Feed Rate for First Order Reaction for Vessel i

Formula

F 0 = \frac{V i \cdot C o}{𝛕 i}

Example

5.333333 mol/s = \frac{3 m³ \cdot 80 mol/m³}{45 s}

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Molar Feed Rate for First Order Reaction for Vessel i Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i
F₀ = (V_i*C_o)/𝛕_i
This formula uses 4 Variables

Variables Used

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.
Volume of Vessel i - (Measured in Cubic Meter) - Volume of Vessel i gives the capacity of reactor vessel i.
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.
Space Time for Vessel i - (Measured in Second) - Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.

STEP 1: Convert Input(s) to Base Unit

Volume of Vessel i: 3 Cubic Meter --> 3 Cubic Meter No Conversion Required
Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Space Time for Vessel i: 45 Second --> 45 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F₀ = (V_i*C_o)/𝛕_i --> (3*80)/45

Evaluating ... ...

F₀ = 5.33333333333333

STEP 3: Convert Result to Output's Unit

5.33333333333333 Mole per Second --> No Conversion Required

FINAL ANSWER

5.33333333333333 ≈ 5.333333 Mole per Second <-- Molar Feed Rate

(Calculation completed in 00.004 seconds)

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< Design for Single Reactions Calculators

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

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

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

Molar Feed Rate for First Order Reaction for Vessel i Formula

Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i
F₀ = (V_i*C_o)/𝛕_i

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 Molar Feed Rate for First Order Reaction for Vessel i?

Molar Feed Rate for First Order Reaction for Vessel i calculator uses Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i to calculate the Molar Feed Rate, The Molar Feed Rate for First Order Reaction for Vessel i formula is defined as the number of moles of feed fed to the system per unit time in vessel i for first-order reaction. Molar Feed Rate is denoted by F₀ symbol.

How to calculate Molar Feed Rate for First Order Reaction for Vessel i using this online calculator? To use this online calculator for Molar Feed Rate for First Order Reaction for Vessel i, enter Volume of Vessel i (V_i), Initial Reactant Concentration (C_o) & Space Time for Vessel i (𝛕_i) and hit the calculate button. Here is how the Molar Feed Rate for First Order Reaction for Vessel i calculation can be explained with given input values -> 5.333333 = (3*80)/45.

FAQ

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

The Molar Feed Rate for First Order Reaction for Vessel i formula is defined as the number of moles of feed fed to the system per unit time in vessel i for first-order reaction and is represented as F₀ = (V_i*C_o)/𝛕_i or Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i. Volume of Vessel i gives the capacity of reactor vessel i, The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process & Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.

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

The Molar Feed Rate for First Order Reaction for Vessel i formula is defined as the number of moles of feed fed to the system per unit time in vessel i for first-order reaction is calculated using Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i. To calculate Molar Feed Rate for First Order Reaction for Vessel i, you need Volume of Vessel i (V_i), Initial Reactant Concentration (C_o) & Space Time for Vessel i (𝛕_i). With our tool, you need to enter the respective value for Volume of Vessel i, Initial Reactant Concentration & Space Time for Vessel i 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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