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Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow Calculator

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Mixed Flow Plug Flow or Batch

✖Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time in Mixed Flow [𝛕_mixed]			+10% -10%
✖The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration in Mixed Flow [C_o]			+10% -10%
✖The Reactant Concentration at given Time refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration at given Time [C]			+10% -10%

✖The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow [k_']

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Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
k_' = (1/𝛕_mixed)*((C_o-C)/C)
This formula uses 4 Variables

Variables Used

Rate Constant for First Order Reaction - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.
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.
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 Concentration at given Time - (Measured in Mole per Cubic Meter) - The Reactant Concentration at given Time refers to the amount of reactant present in the solvent at any given point of time during the process.

STEP 1: Convert Input(s) to Base Unit

Space Time in Mixed Flow: 0.05 Second --> 0.05 Second No Conversion Required
Initial Reactant Concentration in Mixed Flow: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Reactant Concentration at given Time: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_' = (1/𝛕_mixed)*((C_o-C)/C) --> (1/0.05)*((80-24)/24)

Evaluating ... ...

k_' = 46.6666666666667

STEP 3: Convert Result to Output's Unit

46.6666666666667 1 Per Second --> No Conversion Required

FINAL ANSWER

46.6666666666667 ≈ 46.66667 1 Per Second <-- Rate Constant for First Order Reaction

(Calculation completed in 00.004 seconds)

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< Mixed Flow Calculators

Reactant Concentration for Zero Order Reaction using Space Time for Mixed Flow

LaTeX 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

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

Reactant Conversion for Zero Order Reaction using Space Time for Mixed Flow

LaTeX 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

LaTeX 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

< 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))

Rate Constant for First Order Reaction using Reactant Concentration 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 using Reactant Concentration for Mixed Flow?

Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow calculator uses 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) to calculate the Rate Constant for First Order Reaction, The Rate Constant for First Order Reaction using Reactant Concentration 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 is denoted by k_' symbol.

How to calculate Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow using this online calculator? To use this online calculator for Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow, enter Space Time in Mixed Flow (𝛕_mixed), Initial Reactant Concentration in Mixed Flow (C_o) & Reactant Concentration at given Time (C) and hit the calculate button. Here is how the Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow calculation can be explained with given input values -> 46.66667 = (1/0.05)*((80-24)/24).

FAQ

What is Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow?

The Rate Constant for First Order Reaction using Reactant Concentration 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 k_' = (1/𝛕_mixed)*((C_o-C)/C) or 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 in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions, The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process & The Reactant Concentration at given Time refers to the amount of reactant present in the solvent at any given point of time during the process.

How to calculate Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow?

The Rate Constant for First Order Reaction using Reactant Concentration 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 = (1/Space Time in Mixed Flow)*((Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/Reactant Concentration at given Time). To calculate Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow, you need Space Time in Mixed Flow (𝛕_mixed), Initial Reactant Concentration in Mixed Flow (C_o) & Reactant Concentration at given Time (C). With our tool, you need to enter the respective value for Space Time in Mixed Flow, Initial Reactant Concentration in Mixed Flow & Reactant Concentration at given Time 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 Rate Constant for First Order Reaction?

In this formula, Rate Constant for First Order Reaction uses Space Time in Mixed Flow, Initial Reactant Concentration in Mixed Flow & Reactant Concentration at given Time. We can use 2 other way(s) to calculate the same, which is/are as follows -

Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))

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