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

✖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%
✖The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration in Batch Reactor [C_{o 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 Second Order in Batch Reactor is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.ⓘ Rate Constant for Second Order Reaction using Space Time for Plug Flow [k_'']

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

Formula

`"k"_{"''"} = (1/("𝛕"_{"Batch"}*"C"_{"o Batch"}))*("X"_{"A Batch"}/(1-"X"_{"A Batch"}))`

Example

`"0.590456m³/(mol*s)"=(1/("0.051s"*"81.5mol/m³"))*("0.7105"/(1-"0.7105"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))
k_'' = (1/(𝛕_Batch*C_{o Batch}))*(X_{A Batch}/(1-X_{A Batch}))
This formula uses 4 Variables

Variables Used

Rate Constant for Second Order in Batch Reactor - (Measured in Cubic Meter per Mole Second) - The Rate Constant for Second Order in Batch Reactor is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
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.
Initial Reactant Concentration in Batch Reactor - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process.
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
Initial Reactant Concentration in Batch Reactor: 81.5 Mole per Cubic Meter --> 81.5 Mole per Cubic Meter No Conversion Required
Reactant Conversion in Batch: 0.7105 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_'' = (1/(𝛕_Batch*C_{o Batch}))*(X_{A Batch}/(1-X_{A Batch})) --> (1/(0.051*81.5))*(0.7105/(1-0.7105))

Evaluating ... ...

k_'' = 0.590456257309286

STEP 3: Convert Result to Output's Unit

0.590456257309286 Cubic Meter per Mole Second --> No Conversion Required

FINAL ANSWER

0.590456257309286 ≈ 0.590456 Cubic Meter per Mole Second <-- Rate Constant for Second Order in Batch Reactor

(Calculation completed in 00.004 seconds)

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< 14 Plug Flow or Batch Calculators

Rate Constant for Second Order Reaction using Reactant Concentration for Plug Flow

Go Rate Constant for Second Order in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time in Batch Reactor)/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor*Reactant Conc at any Time in Batch Reactor)

Space Time for Second Order Reaction using Reactant Concentration for Plug Flow

Go Space Time in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time in Batch Reactor)/(Rate Constant for Second Order in Batch Reactor*Initial Reactant Concentration in Batch Reactor*Reactant Conc at any Time in Batch Reactor)

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

Go Initial Reactant Concentration in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Space Time in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

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

Go Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

Space Time for Second Order Reaction for Plug Flow

Go 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))

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

Go 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)

Space Time for First Order Reaction using Reactant Concentration for Plug Flow

Go 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)

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

Go Reactant Conc at any Time in Batch Reactor = Initial Reactant Concentration in Batch Reactor-(Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)

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

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

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

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

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

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

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

Space Time for First Order Reaction for Plug Flow

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

< 25 Reactor Performance Equations for Constant Volume Reactions Calculators

Rate Constant for Second Order Reaction using Reactant Concentration for Plug Flow

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

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

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

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

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

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 Second Order Reaction using Space Time for Mixed Flow

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

Space Time for Second Order Reaction for Mixed Flow

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

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

Go Initial Reactant Concentration in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Space Time in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

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

Go Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

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

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)

Space Time for First Order Reaction using Reactant Concentration for Mixed Flow

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

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

Go 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)

Space Time for First Order Reaction using Reactant Concentration for Plug Flow

Go 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)

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

Go Reactant Conc at any Time in Batch Reactor = Initial Reactant Concentration in Batch Reactor-(Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)

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

Go Reactant Concentration at given Time = Initial Reactant Concentration in Mixed Flow-(Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)

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

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

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

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

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

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

Space Time for Zero Order Reaction for Mixed Flow

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

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

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

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

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

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

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 Mixed Flow

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

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

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

Space Time for First Order Reaction for Plug Flow

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

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

What is Plug Flow Reactor?

The plug flow reactor model (PFR, sometimes called continuous tubular reactor, CTR) is normally the name given to a model used in chemical engineering to describe chemical reactions in continuous, flowing systems of cylindrical geometry. The PFR model is used to predict the behaviour of chemical reactors of tubular design, so that key reactor variables, such as the dimensions of the reactor, can be estimated.

How to Calculate Rate Constant for Second Order Reaction using Space Time for Plug Flow?

Rate Constant for Second Order Reaction using Space Time for Plug Flow calculator uses Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch)) to calculate the Rate Constant for Second Order in Batch Reactor, The Rate Constant for Second Order Reaction using Space Time for Plug Flow formula is defined as the proportionality constant in the equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances. Rate Constant for Second Order in Batch Reactor is denoted by k_'' symbol.

How to calculate Rate Constant for Second Order Reaction using Space Time for Plug Flow using this online calculator? To use this online calculator for Rate Constant for Second Order Reaction using Space Time for Plug Flow, enter Space Time in Batch Reactor (𝛕_Batch), Initial Reactant Concentration in Batch Reactor (C_{o Batch}) & Reactant Conversion in Batch (X_{A Batch}) and hit the calculate button. Here is how the Rate Constant for Second Order Reaction using Space Time for Plug Flow calculation can be explained with given input values -> 0.56137 = (1/(0.051*81.5))*(0.7105/(1-0.7105)).

FAQ

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

The Rate Constant for Second Order Reaction using Space Time for Plug Flow formula is defined as the proportionality constant in the equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances and is represented as k_'' = (1/(𝛕_Batch*C_{o Batch}))*(X_{A Batch}/(1-X_{A Batch})) or Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch)). Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions, The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process & 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 Second Order Reaction using Space Time for Plug Flow?

The Rate Constant for Second Order Reaction using Space Time for Plug Flow formula is defined as the proportionality constant in the equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances is calculated using Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch)). To calculate Rate Constant for Second Order Reaction using Space Time for Plug Flow, you need Space Time in Batch Reactor (𝛕_Batch), Initial Reactant Concentration in Batch Reactor (C_{o Batch}) & Reactant Conversion in Batch (X_{A Batch}). With our tool, you need to enter the respective value for Space Time in Batch Reactor, Initial Reactant Concentration 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 Second Order in Batch Reactor?

In this formula, Rate Constant for Second Order in Batch Reactor uses Space Time in Batch Reactor, Initial Reactant Concentration 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 Second Order in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time in Batch Reactor)/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor*Reactant Conc at any Time in Batch Reactor)
Rate Constant for Second Order in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time in Batch Reactor)/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor*Reactant Conc at any Time in Batch Reactor)

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