Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors Calculator

✖Initial Reactant Conc. refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Conc. [C_A0]			+10% -10%
✖The Rate Constant for Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.ⓘ Rate Constant for Second Order Reaction [k₂]			+10% -10%
✖Mean Pulse Curve is the ratio between Volume of Reactor and Volumetric Flow Rate.ⓘ Mean Pulse Curve [T]			+10% -10%

✖The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors [C_A]

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Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors

Formula

`"C"_{"A"} = "C"_{"A0"}*(1-("k"_{"2"}*"T"*"C"_{"A0"})*(1-(("k"_{"2"}*"T"*"C"_{"A0"})/2)*ln(1+(2/("k"_{"2"}*"T"*"C"_{"A0"})))))`

Example

`"24.56371mol/m³"="80mol/m³"*(1-("0.012m³/(mol*s)"*"3s"*"80mol/m³")*(1-(("0.012m³/(mol*s)"*"3s"*"80mol/m³")/2)*ln(1+(2/("0.012m³/(mol*s)"*"3s"*"80mol/m³")))))`

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Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reactant Concentration = Initial Reactant Conc.*(1-(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)*(1-((Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)/2)*ln(1+(2/(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)))))
C_A = C_A0*(1-(k₂*T*C_A0)*(1-((k₂*T*C_A0)/2)*ln(1+(2/(k₂*T*C_A0)))))
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Reactant Concentration - (Measured in Mole per Cubic Meter) - The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.
Initial Reactant Conc. - (Measured in Mole per Cubic Meter) - Initial Reactant Conc. refers to the amount of reactant present in the solvent before the considered process.
Rate Constant for Second Order Reaction - (Measured in Cubic Meter per Mole Second) - The Rate Constant for Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
Mean Pulse Curve - (Measured in Second) - Mean Pulse Curve is the ratio between Volume of Reactor and Volumetric Flow Rate.

STEP 1: Convert Input(s) to Base Unit

Initial Reactant Conc.: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Rate Constant for Second Order Reaction: 0.012 Cubic Meter per Mole Second --> 0.012 Cubic Meter per Mole Second No Conversion Required
Mean Pulse Curve: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_A = C_A0*(1-(k₂*T*C_A0)*(1-((k₂*T*C_A0)/2)*ln(1+(2/(k₂*T*C_A0))))) --> 80*(1-(0.012*3*80)*(1-((0.012*3*80)/2)*ln(1+(2/(0.012*3*80)))))

Evaluating ... ...

C_A = 24.5637078347501

STEP 3: Convert Result to Output's Unit

24.5637078347501 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

24.5637078347501 ≈ 24.56371 Mole per Cubic Meter <-- Reactant Concentration

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Flow Pattern, Contacting and Non Ideal Flow » Convection Model for Laminar Flow » Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors

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< 9 Convection Model for Laminar Flow Calculators

Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors

Go Reactant Concentration = Initial Reactant Conc.*(1-(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)*(1-((Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)/2)*ln(1+(2/(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)))))

Dispersion using General Axis Expression

Go Dispersion Coefficient for General Axis Expression = Diffusion Coefficient for General Axis Dispersion+(Velocity of Pulse for General Axis Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for General Axis Dispersion)

Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors

Go Reactant Concentration = Initial Reactant Conc.*(1-((Rate Constant for Zero Order Reaction*Mean Pulse Curve)/(2*Initial Reactant Conc.))^2)

Dispersion using Taylor Expression Formula

Go Dispersion Coefficient for Taylor Expression = (Velocity of Pulse for Taylor Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for Taylor Dispersion)

Bodenstein Number

Go Bodenstien Number = (Fluid Velocity*Diameter of Tube)/Diffusion Coefficient of Flow for Dispersion

Mean Residence Time for Proper RTD

Go Mean Residence Time = sqrt(1/(4*(1-F Curve)))

F Curve for Laminar Flow in Pipes for Proper RTD

Go F Curve = 1-(1/(4*Mean Residence Time^2))

Mean Residence Time for Improper RTD

Go Mean Residence Time = 1/(2*(1-F Curve))

F Curve for Laminar Flow in Pipes for Improper RTD

Go F Curve = 1-1/(2*Mean Residence Time)

Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors Formula

What is Chemical Conversion ?

Chemical conversion in the context of a second-order reaction in laminar flow refers to the transformation of reactants into products in a chemical reaction that follows second-order kinetics, occurring within a laminar (smooth and orderly) flow regime. In second-order reactions, the rate of the reaction is proportional to the square of the concentration of one or both reactants.

How to Calculate Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors?

Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors calculator uses Reactant Concentration = Initial Reactant Conc.*(1-(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)*(1-((Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)/2)*ln(1+(2/(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.))))) to calculate the Reactant Concentration, Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors formula is defined as the Concentration of Reactant, when the Conversion is carried out in Laminar Flow Reactors. Reactant Concentration is denoted by C_A symbol.

How to calculate Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors using this online calculator? To use this online calculator for Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors, enter Initial Reactant Conc. (C_A0), Rate Constant for Second Order Reaction (k₂) & Mean Pulse Curve (T) and hit the calculate button. Here is how the Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors calculation can be explained with given input values -> 56.73477 = 80*(1-(0.012*3*80)*(1-((0.012*3*80)/2)*ln(1+(2/(0.012*3*80))))).

FAQ

What is Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors?

Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors formula is defined as the Concentration of Reactant, when the Conversion is carried out in Laminar Flow Reactors and is represented as C_A = C_A0*(1-(k₂*T*C_A0)*(1-((k₂*T*C_A0)/2)*ln(1+(2/(k₂*T*C_A0))))) or Reactant Concentration = Initial Reactant Conc.*(1-(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)*(1-((Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)/2)*ln(1+(2/(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.))))). Initial Reactant Conc. refers to the amount of reactant present in the solvent before the considered process, The Rate Constant for Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2 & Mean Pulse Curve is the ratio between Volume of Reactor and Volumetric Flow Rate.

How to calculate Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors?

Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors formula is defined as the Concentration of Reactant, when the Conversion is carried out in Laminar Flow Reactors is calculated using Reactant Concentration = Initial Reactant Conc.*(1-(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)*(1-((Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.)/2)*ln(1+(2/(Rate Constant for Second Order Reaction*Mean Pulse Curve*Initial Reactant Conc.))))). To calculate Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors, you need Initial Reactant Conc. (C_A0), Rate Constant for Second Order Reaction (k₂) & Mean Pulse Curve (T). With our tool, you need to enter the respective value for Initial Reactant Conc, Rate Constant for Second Order Reaction & Mean Pulse Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Reactant Concentration?

In this formula, Reactant Concentration uses Initial Reactant Conc, Rate Constant for Second Order Reaction & Mean Pulse Curve. We can use 1 other way(s) to calculate the same, which is/are as follows -

Reactant Concentration = Initial Reactant Conc.*(1-((Rate Constant for Zero Order Reaction*Mean Pulse Curve)/(2*Initial Reactant Conc.))^2)

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