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Initial 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

GoInitial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor 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 R \cdot (k 2 - k I)}{k I \cdot (\exp (- k I \cdot τ) - \exp (- k 2 \cdot τ))}

C_A0 - Initial Reactant Concentration for Multiple Rxns?C_R - Intermediate Concentration for Series Rxn?k₂ - Rate Constant for Second Step First Order Reaction?k_I - Rate Constant for First Step First Order Reaction?τ - Space Time for PFR?

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

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

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

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

89.2386 = \frac{10 \cdot (0.08 - 0.42)}{0.42 \cdot (\exp (- 0.42 \cdot 30) - \exp (- 0.08 \cdot 30))}

89.2386mol/m³ = \frac{10mol/m³ \cdot (0.08s⁻¹ - 0.42s⁻¹)}{0.42s⁻¹ \cdot (\exp (- 0.42s⁻¹ \cdot 30s) - \exp (- 0.08s⁻¹ \cdot 30s))}

89.2386 = \frac{10 \cdot (0.08 - 0.42)}{0.42 \cdot (\exp (- 0.42 \cdot 30) - \exp (- 0.08 \cdot 30))}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C A0 = \frac{10mol/m³ \cdot (0.08s⁻¹ - 0.42s⁻¹)}{0.42s⁻¹ \cdot (\exp (- 0.42s⁻¹ \cdot 30s) - \exp (- 0.08s⁻¹ \cdot 30s))}

Next Step Prepare to Evaluate

∴

C A0 = \frac{10 \cdot (0.08 - 0.42)}{0.42 \cdot (\exp (- 0.42 \cdot 30) - \exp (- 0.08 \cdot 30))}

Next Step Evaluate

∴

C A0 = 89.2385543926043mol/m³

LAST Step Rounding Answer

∴

C A0 = 89.2386mol/m³

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

Variables

Functions

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

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

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

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 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 Initial Reactant Concentration for Multiple Rxns

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}

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

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})}

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 Two Steps First Order Irreversible Reaction in Series?

Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series evaluator uses 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))) to evaluate the Initial Reactant Concentration for Multiple Rxns, The Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series formula is defined as the Initial Concentration of Reactant of two steps First Order Irreversible Reaction in Series, for Batch and Plug Flow Reactors. Initial Reactant Concentration for Multiple Rxns is denoted by C_A0 symbol.

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

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

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

The formula of Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series is expressed as 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))). Here is an example- 89.23855 = (10*(0.08-0.42))/(0.42*(exp(-0.42*30)-exp(-0.08*30))).

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

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

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=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))
Initial Reactant Concentration for Multiple Rxns=(Intermediate Concentration for Series Rxn*(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*Space Time for Mixed Flow Reactor)

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

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

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

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

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Initial 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

​GoInitial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor Formula

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

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

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

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

Variable Name

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

GoInitial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor Formula