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

STEP 0: Pre-Calculation Summary
Formula Used
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))
Co = (Xmfr)/((1-Xmfr)^2*(𝛕mixed)*(kmixed))
This formula uses 4 Variables
Variables Used
Initial Reactant Concentration in Mixed Flow - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process.
Reactant Conversion in Mixed Flow - Reactant Conversion in Mixed Flow gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
Space Time in Mixed Flow - (Measured in Second) - Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions.
Rate Constant for Second Order in Mixed Flow - (Measured in Cubic Meter per Mole Second) - The Rate Constant for Second Order in Mixed Flow is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
STEP 1: Convert Input(s) to Base Unit
Reactant Conversion in Mixed Flow: 0.71 --> No Conversion Required
Space Time in Mixed Flow: 0.05 Second --> 0.05 Second No Conversion Required
Rate Constant for Second Order in Mixed Flow: 0.609 Cubic Meter per Mole Second --> 0.609 Cubic Meter per Mole Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Co = (Xmfr)/((1-Xmfr)^2*(𝛕mixed)*(kmixed)) --> (0.71)/((1-0.71)^2*(0.05)*(0.609))
Evaluating ... ...
Co = 277.252235102085
STEP 3: Convert Result to Output's Unit
277.252235102085 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
277.252235102085 277.2522 Mole per Cubic Meter <-- Initial Reactant Concentration in Mixed Flow
(Calculation completed in 00.004 seconds)

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14 Mixed Flow Calculators

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))
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)
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
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))

25 Reactor Performance Equations for Constant Volume Reactions 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)
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))

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

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))
Co = (Xmfr)/((1-Xmfr)^2*(𝛕mixed)*(kmixed))

What is continuous stirred-tank reactor?

The continuous stirred-tank reactor (CSTR), also known as vat- or backmix reactor, mixed flow reactor (MFR), or a continuous-flow stirred-tank reactor (CFSTR), is a common model for a chemical reactor in chemical engineering and environmental engineering. A CSTR often refers to a model used to estimate the key unit operation variables when using a continuous agitated-tank reactor to reach a specified output. The mathematical model works for all fluids: liquids, gases, and slurries.

How to Calculate Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow?

Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow calculator uses 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)) to calculate the Initial Reactant Concentration in Mixed Flow, The Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is zero fractional volume change for mixed flow. Initial Reactant Concentration in Mixed Flow is denoted by Co symbol.

How to calculate Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow using this online calculator? To use this online calculator for Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow, enter Reactant Conversion in Mixed Flow (Xmfr), Space Time in Mixed Flow (𝛕mixed) & Rate Constant for Second Order in Mixed Flow (kmixed) and hit the calculate button. Here is how the Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow calculation can be explained with given input values -> 277.2522 = (0.71)/((1-0.71)^2*(0.05)*(0.609)).

FAQ

What is Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow?
The Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is zero fractional volume change for mixed flow and is represented as Co = (Xmfr)/((1-Xmfr)^2*(𝛕mixed)*(kmixed)) or 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)). Reactant Conversion in Mixed Flow gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1, Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions & The Rate Constant for Second Order in Mixed Flow is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
How to calculate Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow?
The Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is zero fractional volume change for mixed flow is calculated using 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)). To calculate Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow, you need Reactant Conversion in Mixed Flow (Xmfr), Space Time in Mixed Flow (𝛕mixed) & Rate Constant for Second Order in Mixed Flow (kmixed). With our tool, you need to enter the respective value for Reactant Conversion in Mixed Flow, Space Time in Mixed Flow & Rate Constant for Second Order in Mixed Flow 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 Mixed Flow?
In this formula, Initial Reactant Concentration in Mixed Flow uses Reactant Conversion in Mixed Flow, Space Time in Mixed Flow & Rate Constant for Second Order in Mixed Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Initial Reactant Concentration in Mixed Flow = (Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)/Reactant Conversion in Mixed Flow
  • Initial Reactant Concentration in Mixed Flow = (Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)/Reactant Conversion in Mixed Flow
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