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Space Time for First Order Reaction using Reactant Concentration for Mixed Flow Calculator

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Mixed Flow Plug Flow or Batch

✖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 [k_']			+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%

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

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Space Time for First Order Reaction using Reactant Concentration for Mixed Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 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.
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

Rate Constant for First Order Reaction: 25.08 1 Per Second --> 25.08 1 Per 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

𝛕_mixed = (1/k_')*((C_o-C)/C) --> (1/25.08)*((80-24)/24)

Evaluating ... ...

𝛕_mixed = 0.0930356193514088

STEP 3: Convert Result to Output's Unit

0.0930356193514088 Second --> No Conversion Required

FINAL ANSWER

0.0930356193514088 ≈ 0.093036 Second <-- Space Time in Mixed Flow

(Calculation completed in 00.020 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))

Space Time 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 Space Time for First Order Reaction using Reactant Concentration for Mixed Flow?

Space Time for First Order Reaction using Reactant Concentration for Mixed Flow calculator uses 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) to calculate the Space Time in Mixed Flow, The Space Time for First Order Reaction using Reactant Concentration 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 zero for mixed flow. Space Time in Mixed Flow is denoted by 𝛕_mixed symbol.

How to calculate Space Time for First Order Reaction using Reactant Concentration for Mixed Flow using this online calculator? To use this online calculator for Space Time for First Order Reaction using Reactant Concentration for Mixed Flow, enter Rate Constant for First Order Reaction (k_'), Initial Reactant Concentration in Mixed Flow (C_o) & Reactant Concentration at given Time (C) and hit the calculate button. Here is how the Space Time for First Order Reaction using Reactant Concentration for Mixed Flow calculation can be explained with given input values -> 0.093036 = (1/25.08)*((80-24)/24).

FAQ

What is Space Time for First Order Reaction using Reactant Concentration for Mixed Flow?

The Space Time for First Order Reaction using Reactant Concentration 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 zero for mixed flow and is represented as 𝛕_mixed = (1/k_')*((C_o-C)/C) or 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). The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant, 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 Space Time for First Order Reaction using Reactant Concentration for Mixed Flow?

The Space Time for First Order Reaction using Reactant Concentration 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 zero for mixed flow is calculated using 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). To calculate Space Time for First Order Reaction using Reactant Concentration for Mixed Flow, you need Rate Constant for First Order Reaction (k_'), 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 Rate Constant for First Order Reaction, 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 Space Time in Mixed Flow?

In this formula, Space Time in Mixed Flow uses Rate Constant for First Order Reaction, Initial Reactant Concentration in Mixed Flow & Reactant Concentration at given Time. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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