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

GoSpace Time for First Order Reaction for Mixed Flow Formula

GoSpace Time for Second Order Reaction for Mixed Flow Formula

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Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions. Check FAQs

𝛕 mixed = (\frac{1}{k'}) \cdot (\frac{C o - C}{C})

𝛕_mixed - Space Time in Mixed Flow?k_' - Rate Constant for First Order Reaction?C_o - Initial Reactant Concentration in Mixed Flow?C - Reactant Concentration at given Time?

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

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Here is how the Space Time for First Order Reaction using Reactant Concentration for Mixed Flow equation looks like with Values.

Here is how the Space Time for First Order Reaction using Reactant Concentration for Mixed Flow equation looks like with Units.

Here is how the Space Time for First Order Reaction using Reactant Concentration for Mixed Flow equation looks like.

0.093 = (\frac{1}{25.08}) \cdot (\frac{80 - 24}{24})

0.093s = (\frac{1}{25.08s⁻¹}) \cdot (\frac{80mol/m³ - 24mol/m³}{24mol/m³})

0.093 = (\frac{1}{25.08}) \cdot (\frac{80 - 24}{24})

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

Follow our step by step solution on how to calculate Space Time for First Order Reaction using Reactant Concentration for Mixed Flow?

FIRST Step Consider the formula

𝛕 mixed = (\frac{1}{k'}) \cdot (\frac{C o - C}{C})

Next Step Substitute values of Variables

∴

𝛕 mixed = (\frac{1}{25.08s⁻¹}) \cdot (\frac{80mol/m³ - 24mol/m³}{24mol/m³})

Next Step Prepare to Evaluate

∴

𝛕 mixed = (\frac{1}{25.08}) \cdot (\frac{80 - 24}{24})

Next Step Evaluate

∴

𝛕 mixed = 0.0930356193514088s

LAST Step Rounding Answer

∴

𝛕 mixed = 0.093s

Space Time for First Order Reaction using Reactant Concentration for Mixed Flow Formula Elements

Variables

Space Time in Mixed Flow

Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions.

Symbol: 𝛕_mixed

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time in Mixed Flow

Rate Constant for First Order Reaction

The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

Symbol: k_'

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Rate Constant for First Order Reaction

Initial Reactant Concentration in Mixed Flow

The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process.

Symbol: C_o

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Concentration in Mixed Flow

Reactant Concentration at given Time

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.

Symbol: C

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Reactant Concentration at given Time

Other Formulas to find Space Time in Mixed Flow

Go Space Time for First Order Reaction for Mixed Flow

𝛕 mixed = (\frac{1}{k'}) \cdot (\frac{X mfr}{1 - X mfr})

Go Space Time for Second Order Reaction for Mixed Flow

𝛕 mixed = \frac{X mfr}{{(1 - X mfr)}^{2} \cdot (k mixed) \cdot (C o)}

Go Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow

𝛕 mixed = \frac{C o - C}{(k mixed) \cdot {(C)}^{2}}

Go Space Time for Zero Order Reaction for Mixed Flow

𝛕 mixed = \frac{X mfr \cdot C o}{k mixed flow}

Other formulas in Mixed Flow category

Go Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow

C o = \frac{X mfr}{{(1 - X mfr)}^{2} \cdot (𝛕 mixed) \cdot (k mixed)}

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

C o = \frac{k mixed flow \cdot 𝛕 mixed}{X mfr}

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

k' = (\frac{1}{𝛕 mixed}) \cdot (\frac{C o - C}{C})

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

k' = (\frac{1}{𝛕 mixed}) \cdot (\frac{X mfr}{1 - X mfr})

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

Space Time for First Order Reaction using Reactant Concentration for Mixed Flow evaluator 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 evaluate 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 evaluate Space Time for First Order Reaction using Reactant Concentration for Mixed Flow using this online evaluator? To use this online evaluator 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.

FAQs on Space Time for First Order Reaction using Reactant Concentration for Mixed Flow

What is the formula to find Space Time for First Order Reaction using Reactant Concentration for Mixed Flow?

The formula of Space Time for First Order Reaction using Reactant Concentration for Mixed Flow is expressed as 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). Here is an example- 0.093036 = (1/25.08)*((80-24)/24).

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

With Rate Constant for First Order Reaction (k_'), Initial Reactant Concentration in Mixed Flow (C_o) & Reactant Concentration at given Time (C) we can find Space Time for First Order Reaction using Reactant Concentration for Mixed Flow using the formula - 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).

What are the other ways to Calculate Space Time in Mixed Flow?

Here are the different ways to Calculate Space Time 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))
Space Time in Mixed Flow=(Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/((Rate Constant for Second Order in Mixed Flow)*(Reactant Concentration at given Time)^2)

Can the Space Time for First Order Reaction using Reactant Concentration for Mixed Flow be negative?

No, the Space Time for First Order Reaction using Reactant Concentration for Mixed Flow, measured in Time cannot be negative.

Which unit is used to measure Space Time for First Order Reaction using Reactant Concentration for Mixed Flow?

Space Time for First Order Reaction using Reactant Concentration for Mixed Flow is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Space Time for First Order Reaction using Reactant Concentration for Mixed Flow can be measured.

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

​GoSpace Time for First Order Reaction for Mixed Flow Formula

​GoSpace Time for Second Order Reaction for Mixed Flow Formula

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

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

Space Time for First Order Reaction using Reactant Concentration for Mixed Flow Formula Elements

Other Formulas to find Space Time in Mixed Flow

Other formulas in Mixed Flow category

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

FAQs on Space Time for First Order Reaction using Reactant Concentration for Mixed Flow

Variable Name

GoSpace Time for First Order Reaction for Mixed Flow Formula

GoSpace Time for Second Order Reaction for Mixed Flow Formula