Rate Constant for Zero Order Reaction for Plug Flow Calculator

✖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 Initial Reactant Concentration in PFR refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration in PFR [C_{o pfr}]			+10% -10%
✖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%

✖The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.ⓘ Rate Constant for Zero Order Reaction for Plug Flow [k₀]

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Rate Constant for Zero Order Reaction for Plug Flow

Formula

`"k"_{"0"} = ("X"_{"A-PFR"}*"C"_{"o pfr"})/"𝛕"_{"pfr"}`

Example

`"1170.493mol/m³*s"=("0.715"*"82mol/m³")/"0.05009s"`

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Download Homogeneous Reactions in Ideal Reactors Formula PDF

Rate Constant for Zero Order Reaction for Plug Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant for Zero Order Reaction = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Space Time in PFR
k₀ = (X_A-PFR*C_{o pfr})/𝛕_pfr
This formula uses 4 Variables

Variables Used

Rate Constant for Zero Order Reaction - (Measured in Mole per Cubic Meter Second) - The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.
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.
Initial Reactant Concentration in PFR - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration in PFR refers to the amount of reactant present in the solvent before the considered process.
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.

STEP 1: Convert Input(s) to Base Unit

Reactant Conversion in PFR: 0.715 --> No Conversion Required
Initial Reactant Concentration in PFR: 82 Mole per Cubic Meter --> 82 Mole per Cubic Meter No Conversion Required
Space Time in PFR: 0.05009 Second --> 0.05009 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k₀ = (X_A-PFR*C_{o pfr})/𝛕_pfr --> (0.715*82)/0.05009

Evaluating ... ...

k₀ = 1170.49311239768

STEP 3: Convert Result to Output's Unit

1170.49311239768 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

1170.49311239768 ≈ 1170.493 Mole per Cubic Meter Second <-- Rate Constant for Zero Order Reaction

(Calculation completed in 00.004 seconds)

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< 7 Plug Flow or Batch Calculators

Initial Reactant Concentration for Second Order Reaction for Plug Flow

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

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

Go Space Time in PFR = (1/Rate Constant for First Order in Plug Flow)*((1+Fractional Volume Change in PFR)*ln(1/(1-Reactant Conversion in PFR))-(Fractional Volume Change in PFR*Reactant Conversion in PFR))

Rate Constant for First Order Reaction for Plug Flow

Go 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))

Initial Reactant Concentration for Zero Order Reaction for Plug Flow

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

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

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

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

< 17 Reactor Performance Equations for Variable Volume Reactions Calculators

Initial Reactant Concentration for Second Order Reaction for Plug Flow

Rate Constant for Second Order Reaction for Plug Flow

Go 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)))

Initial Reactant Concentration for Second Order Reaction for Mixed Flow

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)

Space Time for Second Order Reaction using Rate Constant for Mixed Flow

Go Space Time for Mixed Flow = (1/Rate Constant for Second Order Reaction 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 Second Order Reaction for Mixed Flow

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)

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

Rate Constant for First Order Reaction for Plug Flow

Space Time for First Order Reaction using Rate Constant for Mixed Flow

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

Rate Constant for First Order Reaction for Mixed Flow

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

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

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

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

Reactant Conversion for Zero Order Reaction for Mixed Flow

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

Rate Constant for Zero Order Reaction for Mixed Flow

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

Initial Reactant Concentration for Zero Order Reaction for Plug Flow

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

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

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

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

Rate Constant for Zero Order Reaction for Plug Flow Formula

Rate Constant for Zero Order Reaction = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Space Time in PFR
k₀ = (X_A-PFR*C_{o pfr})/𝛕_pfr

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 Zero Order Reaction for Plug Flow?

Rate Constant for Zero Order Reaction for Plug Flow calculator uses Rate Constant for Zero Order Reaction = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Space Time in PFR to calculate the Rate Constant for Zero Order Reaction, The Rate Constant for Zero Order Reaction for Plug Flow formula is defined as the rate of reaction for zero order reaction where fractional volume change is considerable. Rate Constant for Zero Order Reaction is denoted by k₀ symbol.

How to calculate Rate Constant for Zero Order Reaction for Plug Flow using this online calculator? To use this online calculator for Rate Constant for Zero Order Reaction for Plug Flow, enter Reactant Conversion in PFR (X_A-PFR), Initial Reactant Concentration in PFR (C_{o pfr}) & Space Time in PFR (𝛕_pfr) and hit the calculate button. Here is how the Rate Constant for Zero Order Reaction for Plug Flow calculation can be explained with given input values -> 1141.944 = (0.715*82)/0.05009.

FAQ

What is Rate Constant for Zero Order Reaction for Plug Flow?

The Rate Constant for Zero Order Reaction for Plug Flow formula is defined as the rate of reaction for zero order reaction where fractional volume change is considerable and is represented as k₀ = (X_A-PFR*C_{o pfr})/𝛕_pfr or Rate Constant for Zero Order Reaction = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Space Time 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, The Initial Reactant Concentration in PFR refers to the amount of reactant present in the solvent before the considered process & Space Time in PFR is the time necessary to process volume of reactor fluid at the entrance conditions.

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

The Rate Constant for Zero Order Reaction for Plug Flow formula is defined as the rate of reaction for zero order reaction where fractional volume change is considerable is calculated using Rate Constant for Zero Order Reaction = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Space Time in PFR. To calculate Rate Constant for Zero Order Reaction for Plug Flow, you need Reactant Conversion in PFR (X_A-PFR), Initial Reactant Concentration in PFR (C_{o pfr}) & Space Time in PFR (𝛕_pfr). With our tool, you need to enter the respective value for Reactant Conversion in PFR, Initial Reactant Concentration in PFR & Space Time 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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