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

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Plug Flow or Batch Mixed Flow

✖Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time in Batch Reactor [𝛕_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%

✖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 Reaction using Space Time for Plug Flow [k_batch]

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

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))
k_batch = (1/𝛕_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

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.
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.
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

Space Time in Batch Reactor: 0.051 Second --> 0.051 Second No Conversion Required
Reactant Conversion in Batch: 0.7105 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_batch = (1/𝛕_Batch)*ln(1/(1-X_{A Batch})) --> (1/0.051)*ln(1/(1-0.7105))

Evaluating ... ...

k_batch = 24.3058819993939

STEP 3: Convert Result to Output's Unit

24.3058819993939 1 Per Second --> No Conversion Required

FINAL ANSWER

24.3058819993939 ≈ 24.30588 1 Per Second <-- Rate Constant for First Order in Batch Reactor

(Calculation completed in 00.020 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))

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

LaTeX Go

Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))
k_batch = (1/𝛕_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 Rate Constant for First Order Reaction using Space Time for Plug Flow?

Rate Constant for First Order Reaction using Space Time for Plug Flow calculator uses Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)) to calculate the Rate Constant for First Order in Batch Reactor, The Rate Constant for First Order Reaction using Space Time 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. Rate Constant for First Order in Batch Reactor is denoted by k_batch symbol.

How to calculate Rate Constant for First Order Reaction using Space Time for Plug Flow using this online calculator? To use this online calculator for Rate Constant for First Order Reaction using Space Time for Plug Flow, enter Space Time in Batch Reactor (𝛕_Batch) & Reactant Conversion in Batch (X_{A Batch}) and hit the calculate button. Here is how the Rate Constant for First Order Reaction using Space Time for Plug Flow calculation can be explained with given input values -> 23.60731 = (1/0.051)*ln(1/(1-0.7105)).

FAQ

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

The Rate Constant for First Order Reaction using Space Time 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 and is represented as k_batch = (1/𝛕_Batch)*ln(1/(1-X_{A Batch})) or Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)). Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions & 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 Rate Constant for First Order Reaction using Space Time for Plug Flow?

The Rate Constant for First Order Reaction using Space Time 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 is calculated using Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)). To calculate Rate Constant for First Order Reaction using Space Time for Plug Flow, you need Space Time in Batch Reactor (𝛕_Batch) & Reactant Conversion in Batch (X_{A Batch}). With our tool, you need to enter the respective value for Space Time 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 Rate Constant for First Order in Batch Reactor?

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

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

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