Reactant Concentration for Chemical Conversions for Zero 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%
✖Rate constant for Zero Order Reaction is the 1st step where the value of Rate Constant is Obtained.ⓘ Rate Constant for Zero Order Reaction [k₀]			+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.ⓘ Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors [C_A]

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

Formula

`"C"_{"A"} = "C"_{"A0"}*(1-(("k"_{"0"}*"T")/(2*"C"_{"A0"}))^2)`

Example

`"24.30547mol/m³"="80mol/m³"*(1-(("44.5mol/m³*s"*"3s")/(2*"80mol/m³"))^2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Reactant Concentration = Initial Reactant Conc.*(1-((Rate Constant for Zero Order Reaction*Mean Pulse Curve)/(2*Initial Reactant Conc.))^2)
C_A = C_A0*(1-((k₀*T)/(2*C_A0))^2)
This formula uses 4 Variables

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 Zero Order Reaction - (Measured in Mole per Cubic Meter Second) - Rate constant for Zero Order Reaction is the 1st step where the value of Rate Constant is Obtained.
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 Zero Order Reaction: 44.5 Mole per Cubic Meter Second --> 44.5 Mole per Cubic Meter 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-((k₀*T)/(2*C_A0))^2) --> 80*(1-((44.5*3)/(2*80))^2)

Evaluating ... ...

C_A = 24.30546875

STEP 3: Convert Result to Output's Unit

24.30546875 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

24.30546875 ≈ 24.30547 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 » Reactant Concentration for Chemical Conversions for Zero 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)

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

Reactant Concentration = Initial Reactant Conc.*(1-((Rate Constant for Zero Order Reaction*Mean Pulse Curve)/(2*Initial Reactant Conc.))^2)
C_A = C_A0*(1-((k₀*T)/(2*C_A0))^2)

What is Chemical Conversion ?

Chemical Conversion is described as ratios of how much of a reactant has reacted (X — conversion, normally between zero and one), how much of a desired product was formed (Y — yield, normally also between zero and one) and how much desired product was formed in ratio to the undesired product(s) (S — selectivity).

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

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

How to calculate Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors using this online calculator? To use this online calculator for Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors, enter Initial Reactant Conc. (C_A0), Rate Constant for Zero Order Reaction (k₀) & Mean Pulse Curve (T) and hit the calculate button. Here is how the Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors calculation can be explained with given input values -> 25.55 = 80*(1-((44.5*3)/(2*80))^2).

FAQ

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

Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors formula is defined as Concentration of the Reactant where the Chemical Conversion is achieved and is represented as C_A = C_A0*(1-((k₀*T)/(2*C_A0))^2) or Reactant Concentration = Initial Reactant Conc.*(1-((Rate Constant for Zero Order Reaction*Mean Pulse Curve)/(2*Initial Reactant Conc.))^2). Initial Reactant Conc. refers to the amount of reactant present in the solvent before the considered process, Rate constant for Zero Order Reaction is the 1st step where the value of Rate Constant is Obtained & Mean Pulse Curve is the ratio between Volume of Reactor and Volumetric Flow Rate.

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

Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors formula is defined as Concentration of the Reactant where the Chemical Conversion is achieved is calculated using Reactant Concentration = Initial Reactant Conc.*(1-((Rate Constant for Zero Order Reaction*Mean Pulse Curve)/(2*Initial Reactant Conc.))^2). To calculate Reactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors, you need Initial Reactant Conc. (C_A0), Rate Constant for Zero Order Reaction (k₀) & Mean Pulse Curve (T). With our tool, you need to enter the respective value for Initial Reactant Conc, Rate Constant for Zero 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 Zero 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 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.)))))

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