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

GoIntermediate Concentration for First Order Reaction for Mixed Flow Reactor 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 = C A0 \cdot (\frac{k I}{k 2 - k I}) \cdot (\exp (- k I \cdot τ) - \exp (- k 2 \cdot τ))

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?k₂ - Rate Constant for Second Step First Order Reaction?τ - Space Time for PFR?

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

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Here is how the Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series equation looks like with Values.

Here is how the Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series equation looks like with Units.

Here is how the Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series equation looks like.

8.9647 = 80 \cdot (\frac{0.42}{0.08 - 0.42}) \cdot (\exp (- 0.42 \cdot 30) - \exp (- 0.08 \cdot 30))

8.9647mol/m³ = 80mol/m³ \cdot (\frac{0.42s⁻¹}{0.08s⁻¹ - 0.42s⁻¹}) \cdot (\exp (- 0.42s⁻¹ \cdot 30s) - \exp (- 0.08s⁻¹ \cdot 30s))

8.9647 = 80 \cdot (\frac{0.42}{0.08 - 0.42}) \cdot (\exp (- 0.42 \cdot 30) - \exp (- 0.08 \cdot 30))

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

Follow our step by step solution on how to calculate Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C R = 80mol/m³ \cdot (\frac{0.42s⁻¹}{0.08s⁻¹ - 0.42s⁻¹}) \cdot (\exp (- 0.42s⁻¹ \cdot 30s) - \exp (- 0.08s⁻¹ \cdot 30s))

Next Step Prepare to Evaluate

∴

C R = 80 \cdot (\frac{0.42}{0.08 - 0.42}) \cdot (\exp (- 0.42 \cdot 30) - \exp (- 0.08 \cdot 30))

Next Step Evaluate

∴

C R = 8.96473509062469mol/m³

LAST Step Rounding Answer

∴

C R = 8.9647mol/m³

Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series Formula Elements

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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

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

Space Time for PFR

Space Time for PFR is the time necessary to process volume of reactor fluid at the entrance conditions, the time taken by the amount of fluid to either completely enter or completely exit the reactor.

Symbol: τ

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time for PFR

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Intermediate Concentration for Series Rxn

Go Intermediate Concentration for First Order Reaction for Mixed Flow Reactor

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

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 Two Steps First Order Irreversible Reaction in Series?

Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series evaluator uses 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)) to evaluate the Intermediate Concentration for Series Rxn, The Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series formula is defined as the Concentration of First Product of two steps First Order Irreversible Reaction in Series, for Batch and Plug Flow Reactions. Intermediate Concentration for Series Rxn is denoted by C_R symbol.

How to evaluate Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series using this online evaluator? To use this online evaluator for Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series, enter Initial Reactant Concentration for Multiple Rxns (C_A0), Rate Constant for First Step First Order Reaction (k_I), Rate Constant for Second Step First Order Reaction (k₂) & Space Time for PFR (τ) and hit the calculate button.

FAQs on Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series

What is the formula to find Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series?

The formula of Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series is expressed as 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)). Here is an example- 8.964735 = 80*(0.42/(0.08-0.42))*(exp(-0.42*30)-exp(-0.08*30)).

How to calculate Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series?

With Initial Reactant Concentration for Multiple Rxns (C_A0), Rate Constant for First Step First Order Reaction (k_I), Rate Constant for Second Step First Order Reaction (k₂) & Space Time for PFR (τ) we can find Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series using the formula - 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)). This formula also uses Exponential Growth (exp) function(s).

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*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)))

Can the Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series be negative?

No, the Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series, measured in Molar Concentration cannot be negative.

Which unit is used to measure Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series?

Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series 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 Two Steps First Order Irreversible Reaction in Series can be measured.

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

​GoIntermediate Concentration for First Order Reaction for Mixed Flow Reactor Formula

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

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

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

FAQs on Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series

Variable Name

GoIntermediate Concentration for First Order Reaction for Mixed Flow Reactor Formula