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Rate Constant for First Order Reaction for Mixed Flow Calculator

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Mixed Flow Plug Flow or Batch

✖Space Time in MFR is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time in MFR [𝛕_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%

✖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 for Mixed Flow [k1_MFR]

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Rate Constant for First Order Reaction for Mixed Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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
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

k1_MFR = (1/𝛕_MFR)*((X_MFR*(1+(ε*X_MFR)))/(1-X_MFR)) --> (1/0.0612)*((0.702*(1+(0.21*0.702)))/(1-0.702))

Evaluating ... ...

k1_MFR = 44.1663837347019

STEP 3: Convert Result to Output's Unit

44.1663837347019 1 Per Second --> No Conversion Required

FINAL ANSWER

44.1663837347019 ≈ 44.16638 1 Per Second <-- Rate Constant for First Order Reaction in MFR

(Calculation completed in 00.004 seconds)

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< Mixed Flow Calculators

Initial Reactant Concentration for Zero Order Reaction for Mixed Flow

LaTeX 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

LaTeX 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

LaTeX 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

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

< Reactor Performance Equations for Variable Volume Reactions Calculators

Initial Reactant Concentration for Second Order Reaction for Mixed Flow

LaTeX 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)

Rate Constant for Second Order Reaction for Mixed Flow

LaTeX 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)

Rate Constant for First Order Reaction for Mixed Flow

LaTeX 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

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

Rate Constant for First Order Reaction for Mixed Flow Formula

LaTeX Go

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 Rate Constant for First Order Reaction for Mixed Flow?

Rate Constant for First Order Reaction for Mixed Flow calculator uses 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)) to calculate the Rate Constant for First Order Reaction in MFR, The Rate Constant for First Order Reaction for Mixed Flow formula is defined as the constant of proportionality which gives the relation between rate of reaction and the first power of concentration of one of the reactants for mixed flow. Rate Constant for First Order Reaction in MFR is denoted by k1_MFR symbol.

How to calculate Rate Constant for First Order Reaction for Mixed Flow using this online calculator? To use this online calculator for Rate Constant for First Order Reaction for Mixed Flow, enter Space Time in MFR (𝛕_MFR), Reactant Conversion in MFR (X_MFR) & Fractional Volume Change in Reactor (ε) and hit the calculate button. Here is how the Rate Constant for First Order Reaction for Mixed Flow calculation can be explained with given input values -> 43.73094 = (1/0.0612)*((0.702*(1+(0.21*0.702)))/(1-0.702)).

FAQ

What is Rate Constant for First Order Reaction for Mixed Flow?

The Rate Constant for First Order Reaction for Mixed Flow formula is defined as the constant of proportionality which gives the relation between rate of reaction and the first power of concentration of one of the reactants for mixed flow and is represented as k1_MFR = (1/𝛕_MFR)*((X_MFR*(1+(ε*X_MFR)))/(1-X_MFR)) or 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)). Space Time in MFR is the time necessary to process volume of reactor fluid at the entrance conditions, 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 Rate Constant for First Order Reaction for Mixed Flow?

The Rate Constant for First Order Reaction for Mixed Flow formula is defined as the constant of proportionality which gives the relation between rate of reaction and the first power of concentration of one of the reactants for mixed flow is calculated using 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)). To calculate Rate Constant for First Order Reaction for Mixed Flow, you need Space Time in MFR (𝛕_MFR), Reactant Conversion in MFR (X_MFR) & Fractional Volume Change in Reactor (ε). With our tool, you need to enter the respective value for Space Time 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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