HCF of three numbers

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

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Plug Flow or Batch Mixed Flow

✖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%
✖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 [k₀]			+10% -10%

✖Space Time in PFR is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time for Zero Order Reaction using Rate Constant for Plug Flow [𝛕_pfr]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Rate Constant for Zero Order Reaction: 1120 Mole per Cubic Meter Second --> 1120 Mole per Cubic Meter Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛕_pfr = (X_A-PFR*C_{o pfr})/k₀ --> (0.715*82)/1120

Evaluating ... ...

𝛕_pfr = 0.0523482142857143

STEP 3: Convert Result to Output's Unit

0.0523482142857143 Second --> No Conversion Required

FINAL ANSWER

0.0523482142857143 ≈ 0.052348 Second <-- Space Time in PFR

(Calculation completed in 00.020 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

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

LaTeX Go

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

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

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

How to calculate Space Time for Zero Order Reaction using Rate Constant for Plug Flow using this online calculator? To use this online calculator for Space Time for Zero Order Reaction using Rate Constant for Plug Flow, enter Reactant Conversion in PFR (X_A-PFR), Initial Reactant Concentration in PFR (C_{o pfr}) & Rate Constant for Zero Order Reaction (k₀) and hit the calculate button. Here is how the Space Time for Zero Order Reaction using Rate Constant for Plug Flow calculation can be explained with given input values -> 0.051071 = (0.715*82)/1120.

FAQ

What is Space Time for Zero Order Reaction using Rate Constant for Plug Flow?

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

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

The Space Time for Zero Order Reaction using Rate Constant for Plug Flow formula is defined as the time necessary to process volume of reactor fluid for zero order reaction where fractional volume change is considerable is calculated using Space Time in PFR = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Rate Constant for Zero Order Reaction. To calculate Space Time for Zero Order Reaction using Rate Constant for Plug Flow, you need Reactant Conversion in PFR (X_A-PFR), Initial Reactant Concentration in PFR (C_{o pfr}) & Rate Constant for Zero Order Reaction (k₀). With our tool, you need to enter the respective value for Reactant Conversion in PFR, Initial Reactant Concentration in PFR & Rate Constant for Zero Order Reaction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Space Time in PFR?

In this formula, Space Time in PFR uses Reactant Conversion in PFR, Initial Reactant Concentration in PFR & Rate Constant for Zero Order Reaction. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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))

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