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Space Time for First Order Reaction for Plug Flow Calculator

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Plug Flow or Batch Mixed Flow

✖The Rate Constant for First Order in Batch Reactor is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order in Batch Reactor [k_batch]			+10% -10%
✖Reactant Conversion in Batch gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.ⓘ Reactant Conversion in Batch [X_{A Batch}]			+10% -10%

✖Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time for First Order Reaction for Plug Flow [𝛕_Batch]

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Space Time for First Order Reaction for Plug Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))
𝛕_Batch = (1/k_batch)*ln(1/(1-X_{A Batch}))
This formula uses 1 Functions, 3 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

Space Time in Batch Reactor - (Measured in Second) - Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.
Rate Constant for First Order in Batch Reactor - (Measured in 1 Per Second) - The Rate Constant for First Order in Batch Reactor is defined as the rate of the reaction divided by the concentration of the reactant.
Reactant Conversion in Batch - Reactant Conversion in Batch 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

Rate Constant for First Order in Batch Reactor: 25.09 1 Per Second --> 25.09 1 Per Second No Conversion Required
Reactant Conversion in Batch: 0.7105 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛕_Batch = (1/k_batch)*ln(1/(1-X_{A Batch})) --> (1/25.09)*ln(1/(1-0.7105))

Evaluating ... ...

𝛕_Batch = 0.0494061371848979

STEP 3: Convert Result to Output's Unit

0.0494061371848979 Second --> No Conversion Required

FINAL ANSWER

0.0494061371848979 ≈ 0.049406 Second <-- Space Time in Batch Reactor

(Calculation completed in 00.004 seconds)

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< Plug Flow or Batch Calculators

Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow

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

Reactant Conversion for Zero Order Reaction using Space Time for Plug Flow

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

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

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

Space Time for Zero Order Reaction for Plug Flow

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

< Reactor Performance Equations for Constant Volume Reactions Calculators

Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow

LaTeX Go Initial Reactant Concentration in Mixed Flow = (Reactant Conversion in Mixed Flow)/((1-Reactant Conversion in Mixed Flow)^2*(Space Time in Mixed Flow)*(Rate Constant for Second Order in Mixed Flow))

Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow

LaTeX Go Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*((Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/Reactant Concentration at given Time)

Initial Reactant Concentration for Zero Order Reaction using Space Time for Mixed Flow

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

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

LaTeX Go Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))

Space Time for First Order Reaction for Plug Flow Formula

LaTeX Go

Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))
𝛕_Batch = (1/k_batch)*ln(1/(1-X_{A Batch}))

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 First Order Reaction for Plug Flow?

Space Time for First Order Reaction for Plug Flow calculator uses Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)) to calculate the Space Time in Batch Reactor, The Space Time for First Order Reaction for Plug Flow formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is zero. Space Time in Batch Reactor is denoted by 𝛕_Batch symbol.

How to calculate Space Time for First Order Reaction for Plug Flow using this online calculator? To use this online calculator for Space Time for First Order Reaction for Plug Flow, enter Rate Constant for First Order in Batch Reactor (k_batch) & Reactant Conversion in Batch (X_{A Batch}) and hit the calculate button. Here is how the Space Time for First Order Reaction for Plug Flow calculation can be explained with given input values -> 0.047986 = (1/25.09)*ln(1/(1-0.7105)).

FAQ

What is Space Time for First Order Reaction for Plug Flow?

The Space Time for First Order Reaction for Plug Flow formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is zero and is represented as 𝛕_Batch = (1/k_batch)*ln(1/(1-X_{A Batch})) or Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)). The Rate Constant for First Order in Batch Reactor is defined as the rate of the reaction divided by the concentration of the reactant & Reactant Conversion in Batch gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.

How to calculate Space Time for First Order Reaction for Plug Flow?

The Space Time for First Order Reaction for Plug Flow formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is zero is calculated using Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)). To calculate Space Time for First Order Reaction for Plug Flow, you need Rate Constant for First Order in Batch Reactor (k_batch) & Reactant Conversion in Batch (X_{A Batch}). With our tool, you need to enter the respective value for Rate Constant for First Order in Batch Reactor & Reactant Conversion in Batch 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 Batch Reactor?

In this formula, Space Time in Batch Reactor uses Rate Constant for First Order in Batch Reactor & Reactant Conversion in Batch. We can use 3 other way(s) to calculate the same, which is/are as follows -

Space Time in Batch Reactor = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Rate Constant for Zero Order in Batch
Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(Initial Reactant Concentration in Batch Reactor/Reactant Conc at any Time in Batch Reactor)
Space Time in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

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