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Initial Reactant Concentration for First Order Reaction using Molar Feed Rate Formula

GoInitial Reactant Concentration for First Order Reaction using Reaction Rate Formula

GoInitial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors Formula

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

C o = \frac{𝛕 i \cdot F 0}{V i}

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

Initial Reactant Concentration for First Order Reaction using Molar Feed Rate Example

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Here is how the Initial Reactant Concentration for First Order Reaction using Molar Feed Rate equation looks like with Values.

Here is how the Initial Reactant Concentration for First Order Reaction using Molar Feed Rate equation looks like with Units.

Here is how the Initial Reactant Concentration for First Order Reaction using Molar Feed Rate equation looks like.

75 = \frac{45 \cdot 5}{3}

75mol/m³ = \frac{45s \cdot 5mol/s}{3m³}

75 = \frac{45 \cdot 5}{3}

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Initial Reactant Concentration for First Order Reaction using Molar Feed Rate Solution

Follow our step by step solution on how to calculate Initial Reactant Concentration for First Order Reaction using Molar Feed Rate?

FIRST Step Consider the formula

C o = \frac{𝛕 i \cdot F 0}{V i}

Next Step Substitute values of Variables

∴

C o = \frac{45s \cdot 5mol/s}{3m³}

Next Step Prepare to Evaluate

∴

C o = \frac{45 \cdot 5}{3}

LAST Step Evaluate

∴

C o = 75mol/m³

Initial Reactant Concentration for First Order Reaction using Molar Feed Rate Formula Elements

Variables

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

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

Other Formulas to find Initial Reactant Concentration

Go Initial Reactant Concentration for First Order Reaction using Reaction Rate

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

Go Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors

C o = \frac{1}{(\frac{1}{C}) - (k'' \cdot 𝛕 p)}

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 Initial Reactant Concentration for First Order Reaction using Molar Feed Rate?

Initial Reactant Concentration for First Order Reaction using Molar Feed Rate evaluator uses Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i to evaluate the Initial Reactant Concentration, The Initial Reactant Concentration for First Order Reaction using Molar Feed Rate formula is defined as the concentration of reactant before the first order reaction. Initial Reactant Concentration is denoted by C_o symbol.

How to evaluate Initial Reactant Concentration for First Order Reaction using Molar Feed Rate using this online evaluator? To use this online evaluator for Initial Reactant Concentration for First Order Reaction using Molar Feed Rate, enter Space Time for Vessel i (𝛕_i), Molar Feed Rate (F₀) & Volume of Vessel i (V_i) and hit the calculate button.

FAQs on Initial Reactant Concentration for First Order Reaction using Molar Feed Rate

What is the formula to find Initial Reactant Concentration for First Order Reaction using Molar Feed Rate?

The formula of Initial Reactant Concentration for First Order Reaction using Molar Feed Rate is expressed as Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i. Here is an example- 75 = (45*5)/3.

How to calculate Initial Reactant Concentration for First Order Reaction using Molar Feed Rate?

With Space Time for Vessel i (𝛕_i), Molar Feed Rate (F₀) & Volume of Vessel i (V_i) we can find Initial Reactant Concentration for First Order Reaction using Molar Feed Rate using the formula - Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i.

What are the other ways to Calculate Initial Reactant Concentration?

Here are the different ways to Calculate Initial Reactant Concentration-

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=1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))

Can the Initial Reactant Concentration for First Order Reaction using Molar Feed Rate be negative?

No, the Initial Reactant Concentration for First Order Reaction using Molar Feed Rate, measured in Molar Concentration cannot be negative.

Which unit is used to measure Initial Reactant Concentration for First Order Reaction using Molar Feed Rate?

Initial Reactant Concentration for First Order Reaction using Molar Feed Rate is usually measured using the Mole per Cubic Meter[mol/m³] for Molar Concentration. Mole per Liter[mol/m³], Mole per Cubic Millimeter[mol/m³], Kilomole per Cubic Meter[mol/m³] are the few other units in which Initial Reactant Concentration for First Order Reaction using Molar Feed Rate can be measured.

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