Space Time for First Order Reaction using Rate Constant for Mixed Flow Calculator

✖The Rate Constant for First Order Reaction in MFR is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order Reaction in MFR [k1_MFR]			+10% -10%
✖Reactant Conversion in MFR gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.ⓘ Reactant Conversion in MFR [X_MFR]			+10% -10%
✖Fractional Volume Change in Reactor is the ratio of the change in volume and the initial volume.ⓘ Fractional Volume Change in Reactor [ε]			+10% -10%

✖Space Time in MFR is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time for First Order Reaction using Rate Constant for Mixed Flow [𝛕_MFR]

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Formula

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Space Time for First Order Reaction using Rate Constant for Mixed Flow

Formula

`"𝛕"_{"MFR"} = (1/"k1"_{"MFR"})*(("X"_{"MFR"}*(1+("ε"*"X"_{"MFR"})))/(1-"X"_{"MFR"}))`

Example

`"0.068257s"=(1/"39.6s⁻¹")*(("0.702"*(1+("0.21"*"0.702")))/(1-"0.702"))`

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Space Time for First Order Reaction using Rate Constant for Mixed Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
𝛕_MFR = (1/k1_MFR)*((X_MFR*(1+(ε*X_MFR)))/(1-X_MFR))
This formula uses 4 Variables

Variables Used

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 First Order Reaction in MFR - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction in MFR is defined as the rate of the reaction divided by the concentration of the reactant.
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

Rate Constant for First Order Reaction in MFR: 39.6 1 Per Second --> 39.6 1 Per 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

𝛕_MFR = (1/k1_MFR)*((X_MFR*(1+(ε*X_MFR)))/(1-X_MFR)) --> (1/39.6)*((0.702*(1+(0.21*0.702)))/(1-0.702))

Evaluating ... ...

𝛕_MFR = 0.0682571384990848

STEP 3: Convert Result to Output's Unit

0.0682571384990848 Second --> No Conversion Required

FINAL ANSWER

0.0682571384990848 ≈ 0.068257 Second <-- Space Time in MFR

(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

Space Time for Second Order Reaction using Rate Constant for Mixed Flow

Rate Constant for Second Order Reaction for Mixed Flow

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

Rate Constant for First Order Reaction for Mixed Flow

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

Space Time for First Order Reaction using Rate Constant for Mixed Flow Formula

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 Space Time for First Order Reaction using Rate Constant for Mixed Flow?

Space Time for First Order Reaction using Rate Constant for Mixed Flow calculator uses 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)) to calculate the Space Time in MFR, The Space Time for First Order Reaction using Rate Constant for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is considerable for mixed flow. Space Time in MFR is denoted by 𝛕_MFR symbol.

How to calculate Space Time for First Order Reaction using Rate Constant for Mixed Flow using this online calculator? To use this online calculator for Space Time for First Order Reaction using Rate Constant for Mixed Flow, enter Rate Constant for First Order Reaction in MFR (k1_MFR), Reactant Conversion in MFR (X_MFR) & Fractional Volume Change in Reactor (ε) and hit the calculate button. Here is how the Space Time for First Order Reaction using Rate Constant for Mixed Flow calculation can be explained with given input values -> 0.067584 = (1/39.6)*((0.702*(1+(0.21*0.702)))/(1-0.702)).

FAQ

What is Space Time for First Order Reaction using Rate Constant for Mixed Flow?

The Space Time for First Order Reaction using Rate Constant for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is considerable for mixed flow and is represented as 𝛕_MFR = (1/k1_MFR)*((X_MFR*(1+(ε*X_MFR)))/(1-X_MFR)) or 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)). The Rate Constant for First Order Reaction in MFR is defined as the rate of the reaction divided by the concentration of the reactant, 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 Space Time for First Order Reaction using Rate Constant for Mixed Flow?

The Space Time for First Order Reaction using Rate Constant for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is considerable for mixed flow is calculated using 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)). To calculate Space Time for First Order Reaction using Rate Constant for Mixed Flow, you need Rate Constant for First Order Reaction in MFR (k1_MFR), Reactant Conversion in MFR (X_MFR) & Fractional Volume Change in Reactor (ε). With our tool, you need to enter the respective value for Rate Constant for First 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.

How many ways are there to calculate Space Time in MFR?

In this formula, Space Time in MFR uses Rate Constant for First Order Reaction in MFR, Reactant Conversion in MFR & Fractional Volume Change in Reactor. We can use 2 other way(s) to calculate the same, which is/are as follows -

Space Time in MFR = (Reactant Conversion in MFR*Initial Reactant Concentration in MFR)/Rate Constant for Zero Order Reaction in MFR
Space Time in MFR = (Reactant Conversion in MFR*Initial Reactant Concentration in MFR)/Rate Constant for Zero Order Reaction in MFR

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