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Rate Constant for First Order Reaction for Plug Flow Calculator

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Plug Flow or Batch Mixed Flow

✖Space Time in PFR is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time in PFR [𝛕_pfr]			+10% -10%
✖Fractional Volume Change in PFR is the ratio of the change in volume and the initial volume.ⓘ Fractional Volume Change in PFR [ε_PFR]			+10% -10%
✖Reactant Conversion in PFR gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.ⓘ Reactant Conversion in PFR [X_A-PFR]			+10% -10%

✖The Rate Constant for First Order in Plug Flow is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order Reaction for Plug Flow [k_{plug flow}]

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Rate Constant for First Order Reaction for Plug Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
k_{plug flow} = (1/𝛕_pfr)*((1+ε_PFR)*ln(1/(1-X_A-PFR))-(ε_PFR*X_A-PFR))
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

Rate Constant for First Order in Plug Flow - (Measured in 1 Per Second) - The Rate Constant for First Order in Plug Flow is defined as the rate of the reaction divided by the concentration of the reactant.
Space Time in PFR - (Measured in Second) - Space Time in PFR is the time necessary to process volume of reactor fluid at the entrance conditions.
Fractional Volume Change in PFR - Fractional Volume Change in PFR is the ratio of the change in volume and the initial volume.
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.

STEP 1: Convert Input(s) to Base Unit

Space Time in PFR: 0.05009 Second --> 0.05009 Second No Conversion Required
Fractional Volume Change in PFR: 0.22 --> No Conversion Required
Reactant Conversion in PFR: 0.715 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_{plug flow} = (1/𝛕_pfr)*((1+ε_PFR)*ln(1/(1-X_A-PFR))-(ε_PFR*X_A-PFR)) --> (1/0.05009)*((1+0.22)*ln(1/(1-0.715))-(0.22*0.715))

Evaluating ... ...

k_{plug flow} = 27.4331132048404

STEP 3: Convert Result to Output's Unit

27.4331132048404 1 Per Second --> No Conversion Required

FINAL ANSWER

27.4331132048404 ≈ 27.43311 1 Per Second <-- Rate Constant for First Order in Plug Flow

(Calculation completed in 00.004 seconds)

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< Plug Flow or Batch Calculators

Initial Reactant Concentration for Zero Order Reaction for Plug Flow

LaTeX Go Initial Reactant Concentration in PFR = (Rate Constant for Zero Order Reaction*Space Time in PFR)/Reactant Conversion in PFR

Space Time for Zero Order Reaction using Rate Constant for Plug Flow

LaTeX Go Space Time in PFR = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Rate Constant for Zero Order Reaction

Reactant Conversion for Zero Order Reaction for Plug Flow

LaTeX Go Reactant Conversion in PFR = (Rate Constant for Zero Order Reaction*Space Time in PFR)/Initial Reactant Concentration in PFR

Rate Constant for Zero Order Reaction for Plug Flow

LaTeX Go Rate Constant for Zero Order Reaction = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Space Time in PFR

< Reactor Performance Equations for Variable Volume Reactions Calculators

Initial Reactant Concentration for Second Order Reaction for Mixed Flow

LaTeX Go Initial Reactant Conc for 2nd Order Mixed Flow = (1/Space Time in MFR*Rate Constant for Second Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)

Rate Constant for Second Order Reaction for Mixed Flow

LaTeX Go Rate Constant for 2ndOrder Reaction for Mixed Flow = (1/Space Time in MFR*Initial Reactant Concentration in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)

Rate Constant for First Order Reaction for Mixed Flow

LaTeX Go Rate Constant for First Order Reaction in MFR = (1/Space Time in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR)))/(1-Reactant Conversion in MFR))

Initial Reactant Concentration for Zero Order Reaction for Mixed Flow

LaTeX Go Initial Reactant Concentration in MFR = (Rate Constant for Zero Order Reaction in MFR*Space Time in MFR)/Reactant Conversion in MFR

Rate Constant for First Order Reaction for Plug Flow Formula

LaTeX Go

What is Plug Flow Reactor?

The plug flow reactor model (PFR, sometimes called continuous tubular reactor, CTR, or piston flow reactors) is a model used to describe chemical reactions in continuous, flowing systems of cylindrical geometry. The PFR model is used to predict the behavior of chemical reactors of such design, so that key reactor variables, such as the dimensions of the reactor, can be estimated.

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

Rate Constant for First Order Reaction for Plug Flow calculator 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 calculate 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 calculate Rate Constant for First Order Reaction for Plug Flow using this online calculator? To use this online calculator 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. Here is how the Rate Constant for First Order Reaction for Plug Flow calculation can be explained with given input values -> 27.43311 = (1/0.05009)*((1+0.22)*ln(1/(1-0.715))-(0.22*0.715)).

FAQ

What is Rate Constant for First Order Reaction for 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 and is represented as k_{plug flow} = (1/𝛕_pfr)*((1+ε_PFR)*ln(1/(1-X_A-PFR))-(ε_PFR*X_A-PFR)) or 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)). Space Time in PFR is the time necessary to process volume of reactor fluid at the entrance conditions, Fractional Volume Change in PFR is the ratio of the change in volume and the initial volume & Reactant Conversion in PFR gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.

How to calculate Rate Constant for First Order Reaction for 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 is calculated using 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 calculate Rate Constant for First Order Reaction for Plug Flow, you need Space Time in PFR (𝛕_pfr), Fractional Volume Change in PFR (ε_PFR) & Reactant Conversion in PFR (X_A-PFR). With our tool, you need to enter the respective value for Space Time in PFR, Fractional Volume Change in PFR & Reactant Conversion in PFR and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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