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

✖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%
✖The Rate Constant for Zero Order in Batch is equal to the rate of the reaction as the rate of reaction is proportional to zero power of the concentration of the reactant.ⓘ Rate Constant for Zero Order in Batch [k_Batch]			+10% -10%
✖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 Reactant Conc at any Time in Batch Reactor refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow [C_Batch]

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

Formula

`"C"_{"Batch"} = "C"_{"o Batch"}-("k"_{"Batch"}*"𝛕"_{"Batch"})`

Example

`"24.329mol/m³"="81.5mol/m³"-("1121mol/m³*s"*"0.051s")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
C_Batch = C_{o Batch}-(k_Batch*𝛕_Batch)
This formula uses 4 Variables

Variables Used

Reactant Conc at any Time in Batch Reactor - (Measured in Mole per Cubic Meter) - The Reactant Conc at any Time in Batch Reactor refers to the amount of reactant present in the solvent at any given point of time during the process.
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.
Rate Constant for Zero Order in Batch - (Measured in Mole per Cubic Meter Second) - The Rate Constant for Zero Order in Batch is equal to the rate of the reaction as the rate of reaction is proportional to zero power of 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.

STEP 1: Convert Input(s) to Base Unit

Initial Reactant Concentration in Batch Reactor: 81.5 Mole per Cubic Meter --> 81.5 Mole per Cubic Meter No Conversion Required
Rate Constant for Zero Order in Batch: 1121 Mole per Cubic Meter Second --> 1121 Mole per Cubic Meter Second No Conversion Required
Space Time in Batch Reactor: 0.051 Second --> 0.051 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_Batch = C_{o Batch}-(k_Batch*𝛕_Batch) --> 81.5-(1121*0.051)

Evaluating ... ...

C_Batch = 24.329

STEP 3: Convert Result to Output's Unit

24.329 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

24.329 Mole per Cubic Meter <-- Reactant Conc at any Time 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))

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

Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow calculator uses 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) to calculate the Reactant Conc at any Time in Batch Reactor, The Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant at give time for zero order reaction where there is zero fractional volume change. Reactant Conc at any Time in Batch Reactor is denoted by C_Batch symbol.

How to calculate Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow using this online calculator? To use this online calculator for Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow, enter Initial Reactant Concentration in Batch Reactor (C_{o Batch}), Rate Constant for Zero Order in Batch (k_Batch) & Space Time in Batch Reactor (𝛕_Batch) and hit the calculate button. Here is how the Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow calculation can be explained with given input values -> 23.829 = 81.5-(1121*0.051).

FAQ

What is Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow?

The Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant at give time for zero order reaction where there is zero fractional volume change and is represented as C_Batch = C_{o Batch}-(k_Batch*𝛕_Batch) or 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). The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process, The Rate Constant for Zero Order in Batch is equal to the rate of the reaction as the rate of reaction is proportional to zero power of the concentration of the reactant & Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.

How to calculate Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow?

The Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant at give time for zero order reaction where there is zero fractional volume change is calculated using 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). To calculate Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow, you need Initial Reactant Concentration in Batch Reactor (C_{o Batch}), Rate Constant for Zero Order in Batch (k_Batch) & Space Time in Batch Reactor (𝛕_Batch). With our tool, you need to enter the respective value for Initial Reactant Concentration in Batch Reactor, Rate Constant for Zero Order in Batch & Space Time in Batch Reactor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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