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Product Concentration for First Order Reaction for Mixed Flow Reactor Formula

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

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

C_S - Final Product Concentration?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_m - Space Time for Mixed Flow Reactor?

Product Concentration for First Order Reaction for Mixed Flow Reactor Example

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

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

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

32.6963 = \frac{80 \cdot 0.42 \cdot 0.08 \cdot (12^{2})}{(1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}

32.6963mol/m³ = \frac{80mol/m³ \cdot 0.42s⁻¹ \cdot 0.08s⁻¹ \cdot ({12s}^{2})}{(1 + (0.42s⁻¹ \cdot 12s)) \cdot (1 + (0.08s⁻¹ \cdot 12s))}

32.6963 = \frac{80 \cdot 0.42 \cdot 0.08 \cdot (12^{2})}{(1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}

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Product Concentration for First Order Reaction for Mixed Flow Reactor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C S = \frac{80mol/m³ \cdot 0.42s⁻¹ \cdot 0.08s⁻¹ \cdot ({12s}^{2})}{(1 + (0.42s⁻¹ \cdot 12s)) \cdot (1 + (0.08s⁻¹ \cdot 12s))}

Next Step Prepare to Evaluate

∴

C S = \frac{80 \cdot 0.42 \cdot 0.08 \cdot (12^{2})}{(1 + (0.42 \cdot 12)) \cdot (1 + (0.08 \cdot 12))}

Next Step Evaluate

∴

C S = 32.6963103122044mol/m³

LAST Step Rounding Answer

∴

C S = 32.6963mol/m³

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

Variables

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

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 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

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 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}}}

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

Product Concentration for First Order Reaction for Mixed Flow Reactor evaluator uses Final Product Concentration = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2))/((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 Final Product Concentration, The Product Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Desired Product of two steps First Order Irreversible Reactions in Series, for Mixed Flow Reactor. Final Product Concentration is denoted by C_S symbol.

How to evaluate Product Concentration for First Order Reaction for Mixed Flow Reactor using this online evaluator? To use this online evaluator for Product 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), Rate Constant for Second Step First Order Reaction (k₂) & Space Time for Mixed Flow Reactor (τ_m) and hit the calculate button.

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

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

The formula of Product Concentration for First Order Reaction for Mixed Flow Reactor is expressed as Final Product Concentration = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2))/((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- 32.69631 = (80*0.42*0.08*(12^2))/((1+(0.42*12))*(1+(0.08*12))).

How to calculate Product 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), Rate Constant for Second Step First Order Reaction (k₂) & Space Time for Mixed Flow Reactor (τ_m) we can find Product Concentration for First Order Reaction for Mixed Flow Reactor using the formula - Final Product Concentration = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2))/((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 Product Concentration for First Order Reaction for Mixed Flow Reactor be negative?

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

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

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

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Product Concentration for First Order Reaction for Mixed Flow Reactor Formula

Product Concentration for First Order Reaction for Mixed Flow Reactor Example

Product Concentration for First Order Reaction for Mixed Flow Reactor Solution

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

Other formulas in Important Formulas in Potpourri of Multiple Reactions category

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

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

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