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Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration Formula

GoInitial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series Formula

GoInitial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration Formula

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

C A0 = \frac{C S \cdot (1 + (k I \cdot τ m)) \cdot (1 + (k 2 \cdot τ m))}{k I \cdot k 2 \cdot ({τ m}^{2})}

C_A0 - Initial Reactant Concentration for Multiple Rxns?C_S - Final Product Concentration?k_I - Rate Constant for First Step First Order Reaction?τ_m - Space Time for Mixed Flow Reactor?k₂ - Rate Constant for Second Step First Order Reaction?

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration Example

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Here is how the Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration equation looks like with Values.

Here is how the Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration equation looks like with Units.

Here is how the Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration equation looks like.

48.9352 = \frac{20 \cdot (1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}{0.42 \cdot 0.08 \cdot (12^{2})}

48.9352mol/m³ = \frac{20mol/m³ \cdot (1 + (0.42s⁻¹ \cdot 12s)) \cdot (1 + (0.08s⁻¹ \cdot 12s))}{0.42s⁻¹ \cdot 0.08s⁻¹ \cdot ({12s}^{2})}

48.9352 = \frac{20 \cdot (1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}{0.42 \cdot 0.08 \cdot (12^{2})}

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Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration Solution

Follow our step by step solution on how to calculate Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration?

FIRST Step Consider the formula

C A0 = \frac{C S \cdot (1 + (k I \cdot τ m)) \cdot (1 + (k 2 \cdot τ m))}{k I \cdot k 2 \cdot ({τ m}^{2})}

Next Step Substitute values of Variables

∴

C A0 = \frac{20mol/m³ \cdot (1 + (0.42s⁻¹ \cdot 12s)) \cdot (1 + (0.08s⁻¹ \cdot 12s))}{0.42s⁻¹ \cdot 0.08s⁻¹ \cdot ({12s}^{2})}

Next Step Prepare to Evaluate

∴

C A0 = \frac{20 \cdot (1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}{0.42 \cdot 0.08 \cdot (12^{2})}

Next Step Evaluate

∴

C A0 = 48.9351851851852mol/m³

LAST Step Rounding Answer

∴

C A0 = 48.9352mol/m³

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration Formula Elements

Variables

Initial Reactant Concentration for Multiple Rxns

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

Symbol: C_A0

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Concentration for Multiple Rxns

Final Product Concentration

Final Product Concentration is the concentration of the desired product in a multi-step reaction.

Symbol: C_S

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Final Product Concentration

Rate Constant for First Step First Order Reaction

Rate Constant for First Step First Order Reaction is defined as the constant of proportionality for first step reaction in two steps first order irreversible reaction in series.

Symbol: k_I

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant for First Step First Order Reaction

Space Time for Mixed Flow Reactor

Space Time for Mixed Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the mixed flow reactor.

Symbol: τ_m

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time for Mixed Flow Reactor

Rate Constant for Second Step First Order Reaction

Rate Constant for Second Step First Order Reaction is defined as the constant of proportionality for second step reaction in two steps first order irreversible reaction in series.

Symbol: k₂

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant for Second Step First Order Reaction

Other Formulas to find Initial Reactant Concentration for Multiple Rxns

Go Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series

C A0 = \frac{C R \cdot (k 2 - k I)}{k I \cdot (\exp (- k I \cdot τ) - \exp (- k 2 \cdot τ))}

Go Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration

C A0 = \frac{C R,max}{{(\frac{k I}{k 2})}^{\frac{k 2}{k 2 - k I}}}

Go Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor

C A0 = C k1 \cdot (1 + (k I \cdot τ m))

Go Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration

C A0 = \frac{C R \cdot (1 + (k I \cdot τ m)) \cdot (1 + (k 2 \cdot τ m))}{k I \cdot τ m}

Other formulas in Important Formulas in Potpourri of Multiple Reactions category

Go Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series

C R = C A0 \cdot (\frac{k I}{k 2 - k I}) \cdot (\exp (- k I \cdot τ) - \exp (- k 2 \cdot τ))

Go Maximum Intermediate Concentration for First Order Irreversible Reaction in Series

C R,max = C A0 \cdot {(\frac{k I}{k 2})}^{\frac{k 2}{k 2 - k I}}

Go Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series

τ R,max = \frac{\ln (\frac{k 2}{k I})}{k 2 - k I}

Go Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor

C k0 = \frac{C A0}{1 + (k I \cdot τ m)}

How to Evaluate Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration?

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration evaluator uses Initial Reactant Concentration for Multiple Rxns = (Final Product Concentration*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))*(1+(Rate Constant for Second Step First Order Reaction*Space Time for Mixed Flow Reactor)))/(Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2)) to evaluate the Initial Reactant Concentration for Multiple Rxns, The Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration formula is defined as the Concentration of Reactant charged to Mixed Flow Reactor for two steps First Order Irreversible Reaction, in Series. Initial Reactant Concentration for Multiple Rxns is denoted by C_A0 symbol.

How to evaluate Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration using this online evaluator? To use this online evaluator for Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration, enter Final Product Concentration (C_S), Rate Constant for First Step First Order Reaction (k_I), Space Time for Mixed Flow Reactor (τ_m) & Rate Constant for Second Step First Order Reaction (k₂) and hit the calculate button.

FAQs on Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration

What is the formula to find Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration?

The formula of Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration is expressed as Initial Reactant Concentration for Multiple Rxns = (Final Product Concentration*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))*(1+(Rate Constant for Second Step First Order Reaction*Space Time for Mixed Flow Reactor)))/(Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2)). Here is an example- 48.93519 = (20*(1+(0.42*12))*(1+(0.08*12)))/(0.42*0.08*(12^2)).

How to calculate Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration?

With Final Product Concentration (C_S), Rate Constant for First Step First Order Reaction (k_I), Space Time for Mixed Flow Reactor (τ_m) & Rate Constant for Second Step First Order Reaction (k₂) we can find Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration using the formula - Initial Reactant Concentration for Multiple Rxns = (Final Product Concentration*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))*(1+(Rate Constant for Second Step First Order Reaction*Space Time for Mixed Flow Reactor)))/(Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2)).

What are the other ways to Calculate Initial Reactant Concentration for Multiple Rxns?

Here are the different ways to Calculate Initial Reactant Concentration for Multiple Rxns-

Initial Reactant Concentration for Multiple Rxns=(Intermediate Concentration for Series Rxn*(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))/(Rate Constant for First Step First Order Reaction*(exp(-Rate Constant for First Step First Order Reaction*Space Time for PFR)-exp(-Rate Constant for Second Step First Order Reaction*Space Time for PFR)))
Initial Reactant Concentration for Multiple Rxns=Maximum Intermediate Concentration/(Rate Constant for First Step First Order Reaction/Rate Constant for Second Step First Order Reaction)^(Rate Constant for Second Step First Order Reaction/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))
Initial Reactant Concentration for Multiple Rxns=Reactant Concentration for 1st Order Series Rxns*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))

Can the Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration be negative?

No, the Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration, measured in Molar Concentration cannot be negative.

Which unit is used to measure Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration?

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration 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 Rxn in Series for MFR using Product Concentration can be measured.

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Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration Formula

​GoInitial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series Formula

​GoInitial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration Formula

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration Example

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration Solution

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration Formula Elements

Other Formulas to find Initial Reactant Concentration for Multiple Rxns

Other formulas in Important Formulas in Potpourri of Multiple Reactions category

How to Evaluate Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration?

FAQs on Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration

Variable Name

GoInitial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series Formula

GoInitial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration Formula