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

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Plug Flow or Batch Mixed Flow

✖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 in Batch Reactor [k_'']			+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%
✖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 Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow [C_{o Batch}]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_{o Batch} = (1/(k_''*𝛕_Batch))*(X_{A Batch}/(1-X_{A Batch}))
This formula uses 4 Variables

Variables Used

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 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.
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 Second Order in Batch Reactor: 0.608 Cubic Meter per Mole Second --> 0.608 Cubic Meter per Mole Second No Conversion Required
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

C_{o Batch} = (1/(k_''*𝛕_Batch))*(X_{A Batch}/(1-X_{A Batch})) --> (1/(0.608*0.051))*(0.7105/(1-0.7105))

Evaluating ... ...

C_{o Batch} = 79.1483305439256

STEP 3: Convert Result to Output's Unit

79.1483305439256 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

79.1483305439256 ≈ 79.14833 Mole per Cubic Meter <-- Initial Reactant Concentration 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))

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

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

Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow calculator uses 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)) to calculate the Initial Reactant Concentration in Batch Reactor, The Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is zero fractional volume change. Initial Reactant Concentration in Batch Reactor is denoted by C_{o Batch} symbol.

How to calculate Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow using this online calculator? To use this online calculator for Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow, enter Rate Constant for Second Order in Batch Reactor (k_''), Space Time in Batch Reactor (𝛕_Batch) & Reactant Conversion in Batch (X_{A Batch}) and hit the calculate button. Here is how the Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow calculation can be explained with given input values -> 75.2494 = (1/(0.608*0.051))*(0.7105/(1-0.7105)).

FAQ

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

The Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is zero fractional volume change and is represented as C_{o Batch} = (1/(k_''*𝛕_Batch))*(X_{A Batch}/(1-X_{A Batch})) or 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)). 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 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 Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow?

The Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is zero fractional volume change is calculated using 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)). To calculate Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow, you need Rate Constant for Second Order in Batch Reactor (k_''), 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 Rate Constant for Second Order in Batch Reactor, 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 Initial Reactant Concentration in Batch Reactor?

In this formula, Initial Reactant Concentration in Batch Reactor uses Rate Constant for Second Order in Batch Reactor, 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 -

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

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