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

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch
Co Batch = (kBatch*𝛕Batch)/XA 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 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.
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 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
Reactant Conversion in Batch: 0.7105 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Co Batch = (kBatch*𝛕Batch)/XA Batch --> (1121*0.051)/0.7105
Evaluating ... ...
Co Batch = 80.4658691062632
STEP 3: Convert Result to Output's Unit
80.4658691062632 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
80.4658691062632 80.46587 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 Zero Order Reaction using Space Time for Plug Flow Formula

​LaTeX ​Go
Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch
Co Batch = (kBatch*𝛕Batch)/XA 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 Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow?

Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow calculator uses Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch to calculate the Initial Reactant Concentration in Batch Reactor, The Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant before the considered reaction for zero order reaction where there is zero fractional volume change. Initial Reactant Concentration in Batch Reactor is denoted by Co Batch symbol.

How to calculate Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow using this online calculator? To use this online calculator for Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow, enter Rate Constant for Zero Order in Batch (kBatch), Space Time in Batch Reactor (𝛕Batch) & Reactant Conversion in Batch (XA Batch) and hit the calculate button. Here is how the Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow calculation can be explained with given input values -> 81.67286 = (1121*0.051)/0.7105.

FAQ

What is Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow?
The Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant before the considered reaction for zero order reaction where there is zero fractional volume change and is represented as Co Batch = (kBatch*𝛕Batch)/XA Batch or Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch. 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 & 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 Zero Order Reaction using Space Time for Plug Flow?
The Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow formula is defined as the concentration of reactant before the considered reaction for zero order reaction where there is zero fractional volume change is calculated using Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch. To calculate Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow, you need Rate Constant for Zero Order in Batch (kBatch), Space Time in Batch Reactor (𝛕Batch) & Reactant Conversion in Batch (XA Batch). With our tool, you need to enter the respective value for Rate Constant for Zero Order in Batch, 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 Zero Order in Batch, 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 = (1/(Rate Constant for Second Order in Batch Reactor*Space Time in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))
  • 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))
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