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Molar Feed Rate for First Order Reaction for Vessel i Formula

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The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time. Check FAQs

F 0 = \frac{V i \cdot C o}{𝛕 i}

F₀ - Molar Feed Rate?V_i - Volume of Vessel i?C_o - Initial Reactant Concentration?𝛕_i - Space Time for Vessel i?

Molar Feed Rate for First Order Reaction for Vessel i Example

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Here is how the Molar Feed Rate for First Order Reaction for Vessel i equation looks like with Values.

Here is how the Molar Feed Rate for First Order Reaction for Vessel i equation looks like with Units.

Here is how the Molar Feed Rate for First Order Reaction for Vessel i equation looks like.

5.3333 = \frac{3 \cdot 80}{45}

5.3333mol/s = \frac{3m³ \cdot 80mol/m³}{45s}

5.3333 = \frac{3 \cdot 80}{45}

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Molar Feed Rate for First Order Reaction for Vessel i Solution

Follow our step by step solution on how to calculate Molar Feed Rate for First Order Reaction for Vessel i?

FIRST Step Consider the formula

F 0 = \frac{V i \cdot C o}{𝛕 i}

Next Step Substitute values of Variables

∴

F 0 = \frac{3m³ \cdot 80mol/m³}{45s}

Next Step Prepare to Evaluate

∴

F 0 = \frac{3 \cdot 80}{45}

Next Step Evaluate

∴

F 0 = 5.33333333333333mol/s

LAST Step Rounding Answer

∴

F 0 = 5.3333mol/s

Molar Feed Rate for First Order Reaction for Vessel i Formula Elements

Variables

Molar Feed Rate

The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time.

Symbol: F₀

Measurement: Molar Flow RateUnit: mol/s

Note: Value should be greater than 0.

Formulas to find Molar Feed Rate

Volume of Vessel i

Volume of Vessel i gives the capacity of reactor vessel i.

Symbol: V_i

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume of Vessel i

Initial Reactant Concentration

The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.

Symbol: C_o

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Concentration

Space Time for Vessel i

Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.

Symbol: 𝛕_i

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Space Time for Vessel i

Other formulas in Design for Single Reactions category

Go Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate

trC2' = \frac{V i}{υ}

Go Space Time for First Order Reaction for Vessel i using Molar Flow Rate

trC2' = \frac{V i \cdot C o}{F 0}

Go Space Time for First Order Reaction for Vessel i using Reaction Rate

trC2' = \frac{C o \cdot (X i-1 - X i)}{r i}

Go Reaction Rate for Vessel i using Space Time

r i = \frac{C o \cdot (X i-1 - X i)}{𝛕 i}

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

Molar Feed Rate for First Order Reaction for Vessel i evaluator uses Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i to evaluate 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 evaluate Molar Feed Rate for First Order Reaction for Vessel i using this online evaluator? To use this online evaluator 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.

FAQs on Molar Feed Rate for First Order Reaction for Vessel i

What is the formula to find Molar Feed Rate for First Order Reaction for Vessel i?

The formula of Molar Feed Rate for First Order Reaction for Vessel i is expressed as Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i. Here is an example- 5.333333 = (3*80)/45.

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

With Volume of Vessel i (V_i), Initial Reactant Concentration (C_o) & Space Time for Vessel i (𝛕_i) we can find Molar Feed Rate for First Order Reaction for Vessel i using the formula - Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i.

Can the Molar Feed Rate for First Order Reaction for Vessel i be negative?

No, the Molar Feed Rate for First Order Reaction for Vessel i, measured in Molar Flow Rate cannot be negative.

Which unit is used to measure Molar Feed Rate for First Order Reaction for Vessel i?

Molar Feed Rate for First Order Reaction for Vessel i is usually measured using the Mole per Second[mol/s] for Molar Flow Rate. Kilomole per Second[mol/s], Dekamole per Second[mol/s], Mole per Minute[mol/s] are the few other units in which Molar Feed Rate for First Order Reaction for Vessel i can be measured.

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