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Space Time in PFR is the time necessary to process volume of reactor fluid at the entrance conditions. Check FAQs
𝛕pfr=XA-PFRCo pfrk0
𝛕pfr - Space Time in PFR?XA-PFR - Reactant Conversion in PFR?Co pfr - Initial Reactant Concentration in PFR?k0 - Rate Constant for Zero Order Reaction?

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

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Here is how the Space Time for Zero Order Reaction using Rate Constant for Plug Flow equation looks like with Values.

Here is how the Space Time for Zero Order Reaction using Rate Constant for Plug Flow equation looks like with Units.

Here is how the Space Time for Zero Order Reaction using Rate Constant for Plug Flow equation looks like.

0.0523Edit=0.715Edit82Edit1120Edit
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Space Time for Zero Order Reaction using Rate Constant for Plug Flow Solution

Follow our step by step solution on how to calculate Space Time for Zero Order Reaction using Rate Constant for Plug Flow?

FIRST Step Consider the formula
𝛕pfr=XA-PFRCo pfrk0
Next Step Substitute values of Variables
𝛕pfr=0.71582mol/m³1120mol/m³*s
Next Step Prepare to Evaluate
𝛕pfr=0.715821120
Next Step Evaluate
𝛕pfr=0.0523482142857143s
LAST Step Rounding Answer
𝛕pfr=0.0523s

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

Variables
Space Time in PFR
Space Time in PFR is the time necessary to process volume of reactor fluid at the entrance conditions.
Symbol: 𝛕pfr
Measurement: TimeUnit: s
Note: Value should be greater than 0.
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: XA-PFR
Measurement: NAUnit: Unitless
Note: Value should be less than 1.
Initial Reactant Concentration in PFR
The Initial Reactant Concentration in PFR refers to the amount of reactant present in the solvent before the considered process.
Symbol: Co pfr
Measurement: Molar ConcentrationUnit: mol/m³
Note: Value should be greater than 0.
Rate Constant for Zero Order Reaction
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.
Symbol: k0
Measurement: Reaction RateUnit: mol/m³*s
Note: Value can be positive or negative.

Other Formulas to find Space Time in PFR

​Go Space Time for First Order Reaction using Rate Constant for Plug Flow
𝛕pfr=(1kplug flow)((1+εPFR)ln(11-XA-PFR)-(εPFRXA-PFR))

Other formulas in Plug Flow or Batch category

​Go Initial Reactant Concentration for Second Order Reaction for Mixed Flow
CoMixedFlow=(1𝛕MFRk'' MFR)(XMFR(1+(εXMFR))2(1-XMFR)2)
​Go Initial Reactant Concentration for Zero Order Reaction for Mixed Flow
Co-MFR=k0-MFR𝛕MFRXMFR
​Go Rate Constant for First Order Reaction for Mixed Flow
k1MFR=(1𝛕MFR)(XMFR(1+(εXMFR))1-XMFR)
​Go Rate Constant for Second Order Reaction for Mixed Flow
kMixedFlow''=(1𝛕MFRCo-MFR)(XMFR(1+(εXMFR))2(1-XMFR)2)

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

Space Time for Zero Order Reaction using Rate Constant for Plug Flow evaluator uses Space Time in PFR = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Rate Constant for Zero Order Reaction to evaluate 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 𝛕pfr symbol.

How to evaluate Space Time for Zero Order Reaction using Rate Constant for Plug Flow using this online evaluator? To use this online evaluator for Space Time for Zero Order Reaction using Rate Constant for Plug Flow, enter Reactant Conversion in PFR (XA-PFR), Initial Reactant Concentration in PFR (Co pfr) & Rate Constant for Zero Order Reaction (k0) and hit the calculate button.

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

What is the formula to find Space Time for Zero Order Reaction using Rate Constant for Plug Flow?
The formula of Space Time for Zero Order Reaction using Rate Constant for Plug Flow is expressed as Space Time in PFR = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Rate Constant for Zero Order Reaction. Here is an example- 0.051071 = (0.715*82)/1120.
How to calculate Space Time for Zero Order Reaction using Rate Constant for Plug Flow?
With Reactant Conversion in PFR (XA-PFR), Initial Reactant Concentration in PFR (Co pfr) & Rate Constant for Zero Order Reaction (k0) we can find Space Time for Zero Order Reaction using Rate Constant for Plug Flow using the formula - Space Time in PFR = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Rate Constant for Zero Order Reaction.
What are the other ways to Calculate Space Time in PFR?
Here are the different ways to Calculate Space Time 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))OpenImg
Can the Space Time for Zero Order Reaction using Rate Constant for Plug Flow be negative?
No, the Space Time for Zero Order Reaction using Rate Constant for Plug Flow, measured in Time cannot be negative.
Which unit is used to measure Space Time for Zero Order Reaction using Rate Constant for Plug Flow?
Space Time for Zero Order Reaction using Rate Constant for Plug Flow is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Space Time for Zero Order Reaction using Rate Constant for Plug Flow can be measured.
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