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Rate Constant for Second Order Reaction for Plug Flow Formula

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Rate Constant for 2nd Order Reaction for Plug Flow is defined as the average rate of the reaction per concentration of the reactant having power raised to 2. Check FAQs

k PlugFlow'' = (\frac{1}{𝛕 \cdot C o}) \cdot (2 \cdot ε \cdot (1 + ε) \cdot \ln (1 - X A) + ε^{2} \cdot X A + ({(ε + 1)}^{2} \cdot \frac{X A}{1 - X A}))

k^PlugFlow'' - Rate Constant for 2nd Order Reaction for Plug Flow?𝛕 - Space Time?C_o - Initial Reactant Concentration?ε - Fractional Volume Change?X_A - Reactant Conversion?

Rate Constant for Second Order Reaction for Plug Flow Example

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Here is how the Rate Constant for Second Order Reaction for Plug Flow equation looks like with Values.

Here is how the Rate Constant for Second Order Reaction for Plug Flow equation looks like with Units.

Here is how the Rate Constant for Second Order Reaction for Plug Flow equation looks like.

0.7088 = (\frac{1}{0.05 \cdot 80}) \cdot (2 \cdot 0.21 \cdot (1 + 0.21) \cdot \ln (1 - 0.7) + {0.21}^{2} \cdot 0.7 + ({(0.21 + 1)}^{2} \cdot \frac{0.7}{1 - 0.7}))

0.7088m³/(mol*s) = (\frac{1}{0.05s \cdot 80mol/m³}) \cdot (2 \cdot 0.21 \cdot (1 + 0.21) \cdot \ln (1 - 0.7) + {0.21}^{2} \cdot 0.7 + ({(0.21 + 1)}^{2} \cdot \frac{0.7}{1 - 0.7}))

0.7088 = (\frac{1}{0.05 \cdot 80}) \cdot (2 \cdot 0.21 \cdot (1 + 0.21) \cdot \ln (1 - 0.7) + {0.21}^{2} \cdot 0.7 + ({(0.21 + 1)}^{2} \cdot \frac{0.7}{1 - 0.7}))

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Rate Constant for Second Order Reaction for Plug Flow Solution

Follow our step by step solution on how to calculate Rate Constant for Second Order Reaction for Plug Flow?

FIRST Step Consider the formula

k PlugFlow'' = (\frac{1}{𝛕 \cdot C o}) \cdot (2 \cdot ε \cdot (1 + ε) \cdot \ln (1 - X A) + ε^{2} \cdot X A + ({(ε + 1)}^{2} \cdot \frac{X A}{1 - X A}))

Next Step Substitute values of Variables

∴

k PlugFlow'' = (\frac{1}{0.05s \cdot 80mol/m³}) \cdot (2 \cdot 0.21 \cdot (1 + 0.21) \cdot \ln (1 - 0.7) + {0.21}^{2} \cdot 0.7 + ({(0.21 + 1)}^{2} \cdot \frac{0.7}{1 - 0.7}))

Next Step Prepare to Evaluate

∴

k PlugFlow'' = (\frac{1}{0.05 \cdot 80}) \cdot (2 \cdot 0.21 \cdot (1 + 0.21) \cdot \ln (1 - 0.7) + {0.21}^{2} \cdot 0.7 + ({(0.21 + 1)}^{2} \cdot \frac{0.7}{1 - 0.7}))

Next Step Evaluate

∴

k PlugFlow'' = 0.708811088543723m³/(mol*s)

LAST Step Rounding Answer

∴

k PlugFlow'' = 0.7088m³/(mol*s)

Rate Constant for Second Order Reaction for Plug Flow Formula Elements

Variables

Functions

Rate Constant for 2nd Order Reaction for Plug Flow

Rate Constant for 2nd Order Reaction for Plug Flow is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.

Symbol: k^PlugFlow''

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

Note: Value should be greater than 0.

Formulas to find Rate Constant for 2nd Order Reaction for Plug Flow

Space Time

Space Time is the time necessary to process volume of reactor fluid at the entrance conditions. This is 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

Initial Reactant Concentration

The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.

Symbol: C_o

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Concentration

Fractional Volume Change

Fractional Volume Change is the ratio of the change in volume and the initial volume.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fractional Volume Change

Reactant Conversion

Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.

Symbol: X_A

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Reactant Conversion

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 in Reactor Performance Equations for Variable Volume Reactions category

Go Initial Reactant Concentration for Second Order Reaction for Plug Flow

Co PlugFlow = (\frac{1}{𝛕 pfr \cdot k''}) \cdot (2 \cdot ε PFR \cdot (1 + ε PFR) \cdot \ln (1 - X A-PFR) + {ε PFR}^{2} \cdot X A-PFR + ({(ε PFR + 1)}^{2} \cdot \frac{X A-PFR}{1 - X A-PFR}))

Go Space Time for Second Order Reaction using Rate Constant for Plug Flow

𝛕 PlugFlow = (\frac{1}{k'' \cdot C o}) \cdot (2 \cdot ε \cdot (1 + ε) \cdot \ln (1 - X A) + ε^{2} \cdot X A + ({(ε + 1)}^{2} \cdot \frac{X A}{1 - X A}))

How to Evaluate Rate Constant for Second Order Reaction for Plug Flow?

Rate Constant for Second Order Reaction for Plug Flow evaluator uses Rate Constant for 2nd Order Reaction for Plug Flow = (1/(Space Time*Initial Reactant Concentration))*(2*Fractional Volume Change*(1+Fractional Volume Change)*ln(1-Reactant Conversion)+Fractional Volume Change^2*Reactant Conversion+((Fractional Volume Change+1)^2*Reactant Conversion/(1-Reactant Conversion))) to evaluate the Rate Constant for 2nd Order Reaction for Plug Flow, The Rate Constant for Second Order Reaction for Plug Flow formula is defined as the proportionality constant in the equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances for considerable fractional volume change. Rate Constant for 2nd Order Reaction for Plug Flow is denoted by k^PlugFlow'' symbol.

How to evaluate Rate Constant for Second Order Reaction for Plug Flow using this online evaluator? To use this online evaluator for Rate Constant for Second Order Reaction for Plug Flow, enter Space Time (𝛕), Initial Reactant Concentration (C_o), Fractional Volume Change (ε) & Reactant Conversion (X_A) and hit the calculate button.

FAQs on Rate Constant for Second Order Reaction for Plug Flow

What is the formula to find Rate Constant for Second Order Reaction for Plug Flow?

The formula of Rate Constant for Second Order Reaction for Plug Flow is expressed as Rate Constant for 2nd Order Reaction for Plug Flow = (1/(Space Time*Initial Reactant Concentration))*(2*Fractional Volume Change*(1+Fractional Volume Change)*ln(1-Reactant Conversion)+Fractional Volume Change^2*Reactant Conversion+((Fractional Volume Change+1)^2*Reactant Conversion/(1-Reactant Conversion))). Here is an example- 0.708811 = (1/(0.05*80))*(2*0.21*(1+0.21)*ln(1-0.7)+0.21^2*0.7+((0.21+1)^2*0.7/(1-0.7))).

How to calculate Rate Constant for Second Order Reaction for Plug Flow?

With Space Time (𝛕), Initial Reactant Concentration (C_o), Fractional Volume Change (ε) & Reactant Conversion (X_A) we can find Rate Constant for Second Order Reaction for Plug Flow using the formula - Rate Constant for 2nd Order Reaction for Plug Flow = (1/(Space Time*Initial Reactant Concentration))*(2*Fractional Volume Change*(1+Fractional Volume Change)*ln(1-Reactant Conversion)+Fractional Volume Change^2*Reactant Conversion+((Fractional Volume Change+1)^2*Reactant Conversion/(1-Reactant Conversion))). This formula also uses Natural Logarithm (ln) function(s).

Can the Rate Constant for Second Order Reaction for Plug Flow be negative?

No, the Rate Constant for Second Order Reaction for Plug Flow, measured in Second Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Rate Constant for Second Order Reaction for Plug Flow?

Rate Constant for Second Order Reaction for Plug Flow is usually measured using the Cubic Meter per Mole Second[m³/(mol*s)] for Second Order Reaction Rate Constant. Cubic Meter per Kilomole Millisecond[m³/(mol*s)], Liter per Mole Second[m³/(mol*s)], Liter per Mole Millisecond[m³/(mol*s)] are the few other units in which Rate Constant for Second Order Reaction for Plug Flow can be measured.

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Rate Constant for Second Order Reaction for Plug Flow Formula

Rate Constant for Second Order Reaction for Plug Flow Example

Rate Constant for Second Order Reaction for Plug Flow Solution

Rate Constant for Second Order Reaction for Plug Flow Formula Elements

Other formulas in Reactor Performance Equations for Variable Volume Reactions category

How to Evaluate Rate Constant for Second Order Reaction for Plug Flow?

FAQs on Rate Constant for Second Order Reaction for Plug Flow

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