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

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

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The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process. Check FAQs

C A = C A0 \cdot (1 - (k 2 \cdot T \cdot C A0) \cdot (1 - (\frac{k 2 \cdot T \cdot C A0}{2}) \cdot \ln (1 + (\frac{2}{k 2 \cdot T \cdot C A0}))))

C_A - Reactant Concentration?C_A0 - Initial Reactant Conc.?k₂ - Rate Constant for Second Order Reaction?T - Mean Pulse Curve?

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

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Here is how the Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors equation looks like with Values.

Here is how the Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors equation looks like with Units.

Here is how the Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors equation looks like.

24.5637 = 80 \cdot (1 - (0.012 \cdot 3 \cdot 80) \cdot (1 - (\frac{0.012 \cdot 3 \cdot 80}{2}) \cdot \ln (1 + (\frac{2}{0.012 \cdot 3 \cdot 80}))))

24.5637mol/m³ = 80mol/m³ \cdot (1 - (0.012m³/(mol*s) \cdot 3s \cdot 80mol/m³) \cdot (1 - (\frac{0.012m³/(mol*s) \cdot 3s \cdot 80mol/m³}{2}) \cdot \ln (1 + (\frac{2}{0.012m³/(mol*s) \cdot 3s \cdot 80mol/m³}))))

24.5637 = 80 \cdot (1 - (0.012 \cdot 3 \cdot 80) \cdot (1 - (\frac{0.012 \cdot 3 \cdot 80}{2}) \cdot \ln (1 + (\frac{2}{0.012 \cdot 3 \cdot 80}))))

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

Follow our step by step solution on how to calculate Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors?

FIRST Step Consider the formula

C A = C A0 \cdot (1 - (k 2 \cdot T \cdot C A0) \cdot (1 - (\frac{k 2 \cdot T \cdot C A0}{2}) \cdot \ln (1 + (\frac{2}{k 2 \cdot T \cdot C A0}))))

Next Step Substitute values of Variables

∴

C A = 80mol/m³ \cdot (1 - (0.012m³/(mol*s) \cdot 3s \cdot 80mol/m³) \cdot (1 - (\frac{0.012m³/(mol*s) \cdot 3s \cdot 80mol/m³}{2}) \cdot \ln (1 + (\frac{2}{0.012m³/(mol*s) \cdot 3s \cdot 80mol/m³}))))

Next Step Prepare to Evaluate

∴

C A = 80 \cdot (1 - (0.012 \cdot 3 \cdot 80) \cdot (1 - (\frac{0.012 \cdot 3 \cdot 80}{2}) \cdot \ln (1 + (\frac{2}{0.012 \cdot 3 \cdot 80}))))

Next Step Evaluate

∴

C A = 24.5637078347501mol/m³

LAST Step Rounding Answer

∴

C A = 24.5637mol/m³

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

Variables

Functions

Reactant Concentration

The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.

Symbol: C_A

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Reactant Concentration

Initial Reactant Conc.

Initial Reactant Conc. 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 Conc.

Rate Constant for Second Order Reaction

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.

Symbol: k₂

Measurement: Second Order Reaction Rate ConstantUnit: m³/(mol*s)

Note: Value should be greater than 0.

Formulas to find Rate Constant for Second Order Reaction

Mean Pulse Curve

Mean Pulse Curve is the ratio between Volume of Reactor and Volumetric Flow Rate.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Mean Pulse Curve

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Reactant Concentration

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

C A = C A0 \cdot (1 - {(\frac{k 0 \cdot T}{2 \cdot C A0})}^{2})

Other formulas in Convection Model for Laminar Flow category

Go Dispersion using Taylor Expression Formula

D p = \frac{{u T}^{2} \cdot {d Tube}^{2}}{192 \cdot D f T}

Go Dispersion using General Axis Expression

D p G = D f G + \frac{{u G}^{2} \cdot {d Tube}^{2}}{192 \cdot D f G}

Go Bodenstein Number

Bo = \frac{u fluid \cdot d Tube}{D f}

Go F Curve for Laminar Flow in Pipes for Proper RTD

F = 1 - (\frac{1}{4 \cdot θ^{2}})

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors?

The formula of Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors is expressed as 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.))))). Here is an example- 56.73477 = 80*(1-(0.012*3*80)*(1-((0.012*3*80)/2)*ln(1+(2/(0.012*3*80))))).

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

With Initial Reactant Conc. (C_A0), Rate Constant for Second Order Reaction (k₂) & Mean Pulse Curve (T) we can find Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors using the formula - 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.))))). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Reactant Concentration?

Here are the different ways to Calculate Reactant Concentration-

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

Can the Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors be negative?

No, the Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors, measured in Molar Concentration cannot be negative.

Which unit is used to measure 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 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 Concentration of Reactant for Chemical Conversions for Second Order in Laminar Flow Reactors can be measured.

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

​GoReactant Concentration for Chemical Conversions for Zero Order in Laminar Flow Reactors Formula

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

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

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

Other Formulas to find Reactant Concentration

Other formulas in Convection Model for Laminar Flow category

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

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

Variable Name

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