Initial Reactant Concentration for Second Order Reaction for Mixed Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reactant Conc for 2nd Order Mixed Flow = (1/Space Time in MFR*Rate Constant for Second Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)
CoMixedFlow = (1/𝛕MFR*k'' MFR)*((XMFR*(1+(ε*XMFR))^2)/(1-XMFR)^2)
This formula uses 5 Variables
Variables Used
Initial Reactant Conc for 2nd Order Mixed Flow - (Measured in Mole per Cubic Meter) - Initial Reactant Conc for 2nd Order Mixed Flow refers to the amount of reactant present in the solvent before the considered process.
Space Time in MFR - (Measured in Second) - Space Time in MFR is the time necessary to process volume of reactor fluid at the entrance conditions.
Rate Constant for Second Order Reaction in MFR - (Measured in Cubic Meter per Mole Second) - Rate Constant for Second Order Reaction in MFR is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
Reactant Conversion in MFR - Reactant Conversion in MFR gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
Fractional Volume Change in Reactor - Fractional Volume Change in Reactor is the ratio of the change in volume and the initial volume.
STEP 1: Convert Input(s) to Base Unit
Space Time in MFR: 0.0612 Second --> 0.0612 Second No Conversion Required
Rate Constant for Second Order Reaction in MFR: 0.0607 Cubic Meter per Mole Second --> 0.0607 Cubic Meter per Mole Second No Conversion Required
Reactant Conversion in MFR: 0.702 --> No Conversion Required
Fractional Volume Change in Reactor: 0.21 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CoMixedFlow = (1/𝛕MFR*k'' MFR)*((XMFR*(1+(ε*XMFR))^2)/(1-XMFR)^2) --> (1/0.0612*0.0607)*((0.702*(1+(0.21*0.702))^2)/(1-0.702)^2)
Evaluating ... ...
CoMixedFlow = 10.3225426037239
STEP 3: Convert Result to Output's Unit
10.3225426037239 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
10.3225426037239 10.32254 Mole per Cubic Meter <-- Initial Reactant Conc for 2nd Order Mixed Flow
(Calculation completed in 00.004 seconds)

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9 Mixed Flow Calculators

Initial Reactant Concentration for Second Order Reaction for Mixed Flow
Go Initial Reactant Conc for 2nd Order Mixed Flow = (1/Space Time in MFR*Rate Constant for Second Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)
Space Time for Second Order Reaction using Rate Constant for Mixed Flow
Go Space Time for Mixed Flow = (1/Rate Constant for Second Order Reaction in MFR*Initial Reactant Concentration in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)
Rate Constant for Second Order Reaction for Mixed Flow
Go Rate Constant for 2ndOrder Reaction for Mixed Flow = (1/Space Time in MFR*Initial Reactant Concentration in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)
Space Time for First Order Reaction using Rate Constant for Mixed Flow
Go Space Time in MFR = (1/Rate Constant for First Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR)))/(1-Reactant Conversion in MFR))
Rate Constant for First Order Reaction for Mixed Flow
Go Rate Constant for First Order Reaction in MFR = (1/Space Time in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR)))/(1-Reactant Conversion in MFR))
Initial Reactant Concentration for Zero Order Reaction for Mixed Flow
Go Initial Reactant Concentration in MFR = (Rate Constant for Zero Order Reaction in MFR*Space Time in MFR)/Reactant Conversion in MFR
Space Time for Zero Order Reaction using Rate Constant for Mixed Flow
Go Space Time in MFR = (Reactant Conversion in MFR*Initial Reactant Concentration in MFR)/Rate Constant for Zero Order Reaction in MFR
Reactant Conversion for Zero Order Reaction for Mixed Flow
Go Reactant Conversion in MFR = (Rate Constant for Zero Order Reaction in MFR*Space Time in MFR)/Initial Reactant Concentration in MFR
Rate Constant for Zero Order Reaction for Mixed Flow
Go Rate Constant for Zero Order Reaction in MFR = (Reactant Conversion in MFR*Initial Reactant Concentration in MFR)/Space Time in MFR

17 Reactor Performance Equations for Variable Volume Reactions Calculators

Initial Reactant Concentration for Second Order Reaction for Plug Flow
Go Initial Reactant Conc for 2nd Order Plug Flow = (1/(Space Time in PFR*Rate Constant for Second Order Reaction))*(2*Fractional Volume Change in PFR*(1+Fractional Volume Change in PFR)*ln(1-Reactant Conversion in PFR)+Fractional Volume Change in PFR^2*Reactant Conversion in PFR+((Fractional Volume Change in PFR+1)^2*Reactant Conversion in PFR/(1-Reactant Conversion in PFR)))
Rate Constant for Second Order Reaction for Plug Flow
Go Rate Constant for 2nd Order Reaction for Plug Flow = (1/(Space Time*Initial Reactant Concentration))*(2*Fractional Volume Change*(1+Fractional Volume Change)*ln(1-Reactant Conversion)+Fractional Volume Change^2*Reactant Conversion+((Fractional Volume Change+1)^2*Reactant Conversion/(1-Reactant Conversion)))
Initial Reactant Concentration for Second Order Reaction for Mixed Flow
Go Initial Reactant Conc for 2nd Order Mixed Flow = (1/Space Time in MFR*Rate Constant for Second Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)
Space Time for Second Order Reaction using Rate Constant for Mixed Flow
Go Space Time for Mixed Flow = (1/Rate Constant for Second Order Reaction in MFR*Initial Reactant Concentration in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)
Rate Constant for Second Order Reaction for Mixed Flow
Go Rate Constant for 2ndOrder Reaction for Mixed Flow = (1/Space Time in MFR*Initial Reactant Concentration in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)
Space Time for First Order Reaction using Rate Constant for Plug Flow
Go Space Time in PFR = (1/Rate Constant for First Order in Plug Flow)*((1+Fractional Volume Change in PFR)*ln(1/(1-Reactant Conversion in PFR))-(Fractional Volume Change in PFR*Reactant Conversion in PFR))
Rate Constant for First Order Reaction for Plug Flow
Go Rate Constant for First Order in Plug Flow = (1/Space Time in PFR)*((1+Fractional Volume Change in PFR)*ln(1/(1-Reactant Conversion in PFR))-(Fractional Volume Change in PFR*Reactant Conversion in PFR))
Space Time for First Order Reaction using Rate Constant for Mixed Flow
Go Space Time in MFR = (1/Rate Constant for First Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR)))/(1-Reactant Conversion in MFR))
Rate Constant for First Order Reaction for Mixed Flow
Go Rate Constant for First Order Reaction in MFR = (1/Space Time in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR)))/(1-Reactant Conversion in MFR))
Initial Reactant Concentration for Zero Order Reaction for Mixed Flow
Go Initial Reactant Concentration in MFR = (Rate Constant for Zero Order Reaction in MFR*Space Time in MFR)/Reactant Conversion in MFR
Space Time for Zero Order Reaction using Rate Constant for Mixed Flow
Go Space Time in MFR = (Reactant Conversion in MFR*Initial Reactant Concentration in MFR)/Rate Constant for Zero Order Reaction in MFR
Reactant Conversion for Zero Order Reaction for Mixed Flow
Go Reactant Conversion in MFR = (Rate Constant for Zero Order Reaction in MFR*Space Time in MFR)/Initial Reactant Concentration in MFR
Rate Constant for Zero Order Reaction for Mixed Flow
Go Rate Constant for Zero Order Reaction in MFR = (Reactant Conversion in MFR*Initial Reactant Concentration in MFR)/Space Time in MFR
Initial Reactant Concentration for Zero Order Reaction for Plug Flow
Go Initial Reactant Concentration in PFR = (Rate Constant for Zero Order Reaction*Space Time in PFR)/Reactant Conversion in PFR
Space Time for Zero Order Reaction using Rate Constant for Plug Flow
Go Space Time in PFR = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Rate Constant for Zero Order Reaction
Reactant Conversion for Zero Order Reaction for Plug Flow
Go Reactant Conversion in PFR = (Rate Constant for Zero Order Reaction*Space Time in PFR)/Initial Reactant Concentration in PFR
Rate Constant for Zero Order Reaction for Plug Flow
Go Rate Constant for Zero Order Reaction = (Reactant Conversion in PFR*Initial Reactant Concentration in PFR)/Space Time in PFR

Initial Reactant Concentration for Second Order Reaction for Mixed Flow Formula

Initial Reactant Conc for 2nd Order Mixed Flow = (1/Space Time in MFR*Rate Constant for Second Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2)
CoMixedFlow = (1/𝛕MFR*k'' MFR)*((XMFR*(1+(ε*XMFR))^2)/(1-XMFR)^2)

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 for Mixed Flow?

Initial Reactant Concentration for Second Order Reaction for Mixed Flow calculator uses Initial Reactant Conc for 2nd Order Mixed Flow = (1/Space Time in MFR*Rate Constant for Second Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2) to calculate the Initial Reactant Conc for 2nd Order Mixed Flow, The Initial Reactant Concentration for Second Order Reaction for Mixed Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is considerable fractional volume change for mixed flow. Initial Reactant Conc for 2nd Order Mixed Flow is denoted by CoMixedFlow symbol.

How to calculate Initial Reactant Concentration for Second Order Reaction for Mixed Flow using this online calculator? To use this online calculator for Initial Reactant Concentration for Second Order Reaction for Mixed Flow, enter Space Time in MFR (𝛕MFR), Rate Constant for Second Order Reaction in MFR (k'' MFR), Reactant Conversion in MFR (XMFR) & Fractional Volume Change in Reactor (ε) and hit the calculate button. Here is how the Initial Reactant Concentration for Second Order Reaction for Mixed Flow calculation can be explained with given input values -> 10.14892 = (1/0.0612*0.0607)*((0.702*(1+(0.21*0.702))^2)/(1-0.702)^2).

FAQ

What is Initial Reactant Concentration for Second Order Reaction for Mixed Flow?
The Initial Reactant Concentration for Second Order Reaction for Mixed Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is considerable fractional volume change for mixed flow and is represented as CoMixedFlow = (1/𝛕MFR*k'' MFR)*((XMFR*(1+(ε*XMFR))^2)/(1-XMFR)^2) or Initial Reactant Conc for 2nd Order Mixed Flow = (1/Space Time in MFR*Rate Constant for Second Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2). Space Time in MFR is the time necessary to process volume of reactor fluid at the entrance conditions, Rate Constant for Second Order Reaction in MFR is defined as the average rate of the reaction per concentration of the reactant having power raised to 2, Reactant Conversion in MFR gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1 & Fractional Volume Change in Reactor is the ratio of the change in volume and the initial volume.
How to calculate Initial Reactant Concentration for Second Order Reaction for Mixed Flow?
The Initial Reactant Concentration for Second Order Reaction for Mixed Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is considerable fractional volume change for mixed flow is calculated using Initial Reactant Conc for 2nd Order Mixed Flow = (1/Space Time in MFR*Rate Constant for Second Order Reaction in MFR)*((Reactant Conversion in MFR*(1+(Fractional Volume Change in Reactor*Reactant Conversion in MFR))^2)/(1-Reactant Conversion in MFR)^2). To calculate Initial Reactant Concentration for Second Order Reaction for Mixed Flow, you need Space Time in MFR (𝛕MFR), Rate Constant for Second Order Reaction in MFR (k'' MFR), Reactant Conversion in MFR (XMFR) & Fractional Volume Change in Reactor (ε). With our tool, you need to enter the respective value for Space Time in MFR, Rate Constant for Second Order Reaction in MFR, Reactant Conversion in MFR & Fractional Volume Change in 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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