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Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Formula

GoIntermediate Concentration for Two Steps First Order Irreversible Reaction in Series Formula

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Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction. Check FAQs

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

C_R - Intermediate Concentration for Series Rxn?C_A0 - Initial Reactant Concentration for Multiple Rxns?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?

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Example

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Here is how the Intermediate Concentration for First Order Reaction for Mixed Flow Reactor equation looks like with Values.

Here is how the Intermediate Concentration for First Order Reaction for Mixed Flow Reactor equation looks like with Units.

Here is how the Intermediate Concentration for First Order Reaction for Mixed Flow Reactor equation looks like.

34.0587 = \frac{80 \cdot 0.42 \cdot 12}{(1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}

34.0587mol/m³ = \frac{80mol/m³ \cdot 0.42s⁻¹ \cdot 12s}{(1 + (0.42s⁻¹ \cdot 12s)) \cdot (1 + (0.08s⁻¹ \cdot 12s))}

34.0587 = \frac{80 \cdot 0.42 \cdot 12}{(1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}

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Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Solution

Follow our step by step solution on how to calculate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C R = \frac{80mol/m³ \cdot 0.42s⁻¹ \cdot 12s}{(1 + (0.42s⁻¹ \cdot 12s)) \cdot (1 + (0.08s⁻¹ \cdot 12s))}

Next Step Prepare to Evaluate

∴

C R = \frac{80 \cdot 0.42 \cdot 12}{(1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}

Next Step Evaluate

∴

C R = 34.0586565752129mol/m³

LAST Step Rounding Answer

∴

C R = 34.0587mol/m³

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Formula Elements

Variables

Intermediate Concentration for Series Rxn

Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.

Symbol: C_R

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Intermediate Concentration for Series Rxn

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

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 Intermediate Concentration for Series Rxn

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))

Other formulas in Important Formulas in Potpourri of Multiple Reactions category

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 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 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 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}

How to Evaluate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor evaluator uses Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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))) to evaluate the Intermediate Concentration for Series Rxn, The Intermediate Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Intermediate for two steps First Order Irreversible Reaction for Mixed Flow Reactor, in Series. Intermediate Concentration for Series Rxn is denoted by C_R symbol.

How to evaluate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor using this online evaluator? To use this online evaluator for Intermediate Concentration for First Order Reaction for Mixed Flow Reactor, enter Initial Reactant Concentration for Multiple Rxns (C_A0), 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 Intermediate Concentration for First Order Reaction for Mixed Flow Reactor

What is the formula to find Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

The formula of Intermediate Concentration for First Order Reaction for Mixed Flow Reactor is expressed as Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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))). Here is an example- 34.05866 = (80*0.42*12)/((1+(0.42*12))*(1+(0.08*12))).

How to calculate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

With Initial Reactant Concentration for Multiple Rxns (C_A0), 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 Intermediate Concentration for First Order Reaction for Mixed Flow Reactor using the formula - Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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))).

What are the other ways to Calculate Intermediate Concentration for Series Rxn?

Here are the different ways to Calculate Intermediate Concentration for Series Rxn-

Intermediate Concentration for Series Rxn=Initial Reactant Concentration for Multiple Rxns*(Rate Constant for First Step First Order Reaction/(Rate Constant for Second 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))

Can the Intermediate Concentration for First Order Reaction for Mixed Flow Reactor be negative?

No, the Intermediate Concentration for First Order Reaction for Mixed Flow Reactor, measured in Molar Concentration cannot be negative.

Which unit is used to measure Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor 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 Intermediate Concentration for First Order Reaction for Mixed Flow Reactor can be measured.

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Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Formula

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

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Example

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Solution

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Formula Elements

Other Formulas to find Intermediate Concentration for Series Rxn

Other formulas in Important Formulas in Potpourri of Multiple Reactions category

How to Evaluate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

FAQs on Intermediate Concentration for First Order Reaction for Mixed Flow Reactor

Variable Name

GoIntermediate Concentration for Two Steps First Order Irreversible Reaction in Series Formula