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Rate Constant for First Order Reaction for Plug Flow Formula

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The Rate Constant for First Order in Plug Flow is defined as the rate of the reaction divided by the concentration of the reactant. Check FAQs

k plug flow = (\frac{1}{𝛕 pfr}) \cdot ((1 + ε PFR) \cdot \ln (\frac{1}{1 - X A-PFR}) - (ε PFR \cdot X A-PFR))

k_{plug flow} - Rate Constant for First Order in Plug Flow?𝛕_pfr - Space Time in PFR?ε_PFR - Fractional Volume Change in PFR?X_A-PFR - Reactant Conversion in PFR?

Rate Constant for First Order Reaction for Plug Flow Example

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

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

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

27.4331 = (\frac{1}{0.0501}) \cdot ((1 + 0.22) \cdot \ln (\frac{1}{1 - 0.715}) - (0.22 \cdot 0.715))

27.4331s⁻¹ = (\frac{1}{0.0501s}) \cdot ((1 + 0.22) \cdot \ln (\frac{1}{1 - 0.715}) - (0.22 \cdot 0.715))

27.4331 = (\frac{1}{0.0501}) \cdot ((1 + 0.22) \cdot \ln (\frac{1}{1 - 0.715}) - (0.22 \cdot 0.715))

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Rate Constant for First Order Reaction for Plug Flow Solution

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

FIRST Step Consider the formula

k plug flow = (\frac{1}{𝛕 pfr}) \cdot ((1 + ε PFR) \cdot \ln (\frac{1}{1 - X A-PFR}) - (ε PFR \cdot X A-PFR))

Next Step Substitute values of Variables

∴

k plug flow = (\frac{1}{0.0501s}) \cdot ((1 + 0.22) \cdot \ln (\frac{1}{1 - 0.715}) - (0.22 \cdot 0.715))

Next Step Prepare to Evaluate

∴

k plug flow = (\frac{1}{0.0501}) \cdot ((1 + 0.22) \cdot \ln (\frac{1}{1 - 0.715}) - (0.22 \cdot 0.715))

Next Step Evaluate

∴

k plug flow = 27.4331132048404s⁻¹

LAST Step Rounding Answer

∴

k plug flow = 27.4331s⁻¹

Rate Constant for First Order Reaction for Plug Flow Formula Elements

Variables

Functions

Rate Constant for First Order in Plug Flow

The Rate Constant for First Order in Plug Flow is defined as the rate of the reaction divided by the concentration of the reactant.

Symbol: k_{plug flow}

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Rate Constant for First Order in Plug Flow

Space Time in PFR

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

Symbol: 𝛕_pfr

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time in PFR

Fractional Volume Change in PFR

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

Symbol: ε_PFR

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fractional Volume Change in PFR

Reactant Conversion in PFR

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

Symbol: X_A-PFR

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Reactant Conversion in PFR

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 Plug Flow or Batch category

Go Initial Reactant Concentration for Second Order Reaction for Mixed Flow

Co MixedFlow = (\frac{1}{𝛕 MFR} \cdot k'' MFR) \cdot (\frac{X MFR \cdot {(1 + (ε \cdot X MFR))}^{2}}{{(1 - X MFR)}^{2}})

Go Initial Reactant Concentration for Zero Order Reaction for Mixed Flow

C o-MFR = \frac{k 0-MFR \cdot 𝛕 MFR}{X MFR}

Go Rate Constant for First Order Reaction for Mixed Flow

k1 MFR = (\frac{1}{𝛕 MFR}) \cdot (\frac{X MFR \cdot (1 + (ε \cdot X MFR))}{1 - X MFR})

Go Rate Constant for Second Order Reaction for Mixed Flow

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

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

Rate Constant for First Order Reaction for Plug Flow evaluator uses Rate Constant for First Order in Plug Flow = (1/Space Time in PFR)*((1+Fractional Volume Change in PFR)*ln(1/(1-Reactant Conversion in PFR))-(Fractional Volume Change in PFR*Reactant Conversion in PFR)) to evaluate the Rate Constant for First Order in Plug Flow, The Rate Constant for First Order Reaction for Plug Flow formula is defined as the constant of proportionality which gives the relation between rate of reaction and the first power of concentration of one of the reactants where fractional volume change is considerable. Rate Constant for First Order in Plug Flow is denoted by k_{plug flow} symbol.

How to evaluate Rate Constant for First Order Reaction for Plug Flow using this online evaluator? To use this online evaluator for Rate Constant for First Order Reaction for Plug Flow, enter Space Time in PFR (𝛕_pfr), Fractional Volume Change in PFR (ε_PFR) & Reactant Conversion in PFR (X_A-PFR) and hit the calculate button.

FAQs on Rate Constant for First Order Reaction for Plug Flow

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

The formula of Rate Constant for First Order Reaction for Plug Flow is expressed as Rate Constant for First Order in Plug Flow = (1/Space Time in PFR)*((1+Fractional Volume Change in PFR)*ln(1/(1-Reactant Conversion in PFR))-(Fractional Volume Change in PFR*Reactant Conversion in PFR)). Here is an example- 27.43311 = (1/0.05009)*((1+0.22)*ln(1/(1-0.715))-(0.22*0.715)).

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

With Space Time in PFR (𝛕_pfr), Fractional Volume Change in PFR (ε_PFR) & Reactant Conversion in PFR (X_A-PFR) we can find Rate Constant for First Order Reaction for Plug Flow using the formula - Rate Constant for First Order in Plug Flow = (1/Space Time in PFR)*((1+Fractional Volume Change in PFR)*ln(1/(1-Reactant Conversion in PFR))-(Fractional Volume Change in PFR*Reactant Conversion in PFR)). This formula also uses Natural Logarithm (ln) function(s).

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

Yes, the Rate Constant for First Order Reaction for Plug Flow, measured in First Order Reaction Rate Constant can be negative.

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

Rate Constant for First Order Reaction for Plug Flow is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant for First Order Reaction for Plug Flow can be measured.

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