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Reaction Rate for Vessel i using Space Time Formula

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

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Reaction Rate for Vessel i is the rate at which a reaction occurs to achieve the desire product. Check FAQs

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

r_i - Reaction Rate for Vessel i?C_o - Initial Reactant Concentration?X_i-1 - Reactant Conversion of Vessel i-1?X_i - Reactant Conversion of Vessel i?𝛕_i - Space Time for Vessel i?

Reaction Rate for Vessel i using Space Time Example

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Here is how the Reaction Rate for Vessel i using Space Time equation looks like with Values.

Here is how the Reaction Rate for Vessel i using Space Time equation looks like with Units.

Here is how the Reaction Rate for Vessel i using Space Time equation looks like.

0.1778 = \frac{80 \cdot (0.8 - 0.7)}{45}

0.1778mol/m³*s = \frac{80mol/m³ \cdot (0.8 - 0.7)}{45s}

0.1778 = \frac{80 \cdot (0.8 - 0.7)}{45}

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Reaction Rate for Vessel i using Space Time Solution

Follow our step by step solution on how to calculate Reaction Rate for Vessel i using Space Time?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{80mol/m³ \cdot (0.8 - 0.7)}{45s}

Next Step Prepare to Evaluate

∴

r i = \frac{80 \cdot (0.8 - 0.7)}{45}

Next Step Evaluate

∴

r i = 0.177777777777778mol/m³*s

LAST Step Rounding Answer

∴

r i = 0.1778mol/m³*s

Reaction Rate for Vessel i using Space Time Formula Elements

Variables

Reaction Rate for Vessel i

Reaction Rate for Vessel i is the rate at which a reaction occurs to achieve the desire product.

Symbol: r_i

Measurement: Reaction RateUnit: mol/m³*s

Note: Value can be positive or negative.

Formulas to find Reaction Rate for 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

Reactant Conversion of Vessel i-1

Reactant Conversion of Vessel i-1 gives us the percentage of reactants converted into products in vessel i-1.

Symbol: X_i-1

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reactant Conversion of Vessel i-1

Reactant Conversion of Vessel i

Reactant Conversion of Vessel i gives us the percentage of reactants converted into products in vessel i.

Symbol: X_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reactant Conversion of Vessel i

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 to find Reaction Rate for Vessel i

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

r i = \frac{C i-1 - C i}{trC2'}

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 Molar Feed Rate for First Order Reaction for Vessel i

F 0 = \frac{V i \cdot C o}{𝛕 i}

How to Evaluate Reaction Rate for Vessel i using Space Time?

Reaction Rate for Vessel i using Space Time evaluator uses Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i to evaluate the Reaction Rate for Vessel i, The Reaction Rate for Vessel i using Space Time formula is defined as the speed with which first order reaction proceeds in vessel i. Reaction Rate for Vessel i is denoted by r_i symbol.

How to evaluate Reaction Rate for Vessel i using Space Time using this online evaluator? To use this online evaluator for Reaction Rate for Vessel i using Space Time, enter Initial Reactant Concentration (C_o), Reactant Conversion of Vessel i-1 (X_i-1), Reactant Conversion of Vessel i (X_i) & Space Time for Vessel i (𝛕_i) and hit the calculate button.

FAQs on Reaction Rate for Vessel i using Space Time

What is the formula to find Reaction Rate for Vessel i using Space Time?

The formula of Reaction Rate for Vessel i using Space Time is expressed as Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i. Here is an example- 0.177778 = (80*(0.8-0.7))/45.

How to calculate Reaction Rate for Vessel i using Space Time?

With Initial Reactant Concentration (C_o), Reactant Conversion of Vessel i-1 (X_i-1), Reactant Conversion of Vessel i (X_i) & Space Time for Vessel i (𝛕_i) we can find Reaction Rate for Vessel i using Space Time using the formula - Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i.

What are the other ways to Calculate Reaction Rate for Vessel i?

Here are the different ways to Calculate Reaction Rate for Vessel i-

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

Can the Reaction Rate for Vessel i using Space Time be negative?

Yes, the Reaction Rate for Vessel i using Space Time, measured in Reaction Rate can be negative.

Which unit is used to measure Reaction Rate for Vessel i using Space Time?

Reaction Rate for Vessel i using Space Time is usually measured using the Mole per Cubic Meter Second[mol/m³*s] for Reaction Rate. Mole per Liter Second[mol/m³*s], Millimole per Liter Second[mol/m³*s] are the few other units in which Reaction Rate for Vessel i using Space Time can be measured.

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Reaction Rate for Vessel i using Space Time Formula

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

Reaction Rate for Vessel i using Space Time Example

Reaction Rate for Vessel i using Space Time Solution

Reaction Rate for Vessel i using Space Time Formula Elements

Other Formulas to find Reaction Rate for Vessel i

Other formulas in Design for Single Reactions category

How to Evaluate Reaction Rate for Vessel i using Space Time?

FAQs on Reaction Rate for Vessel i using Space Time

Variable Name

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