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

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

𝛕 MixedFlow = (\frac{1}{k'' MFR} \cdot C o-MFR) \cdot (\frac{X MFR \cdot {(1 + (ε \cdot X MFR))}^{2}}{{(1 - X MFR)}^{2}})

𝛕_MixedFlow - Space Time for Mixed Flow?k^{'' MFR} - Rate Constant for Second Order Reaction in MFR?C_o-MFR - Initial Reactant Concentration in MFR?X_MFR - Reactant Conversion in MFR?ε - Fractional Volume Change in Reactor?

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

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Here is how the Space Time for Second Order Reaction using Rate Constant for Mixed Flow equation looks like with Values.

Here is how the Space Time for Second Order Reaction using Rate Constant for Mixed Flow equation looks like with Units.

Here is how the Space Time for Second Order Reaction using Rate Constant for Mixed Flow equation looks like.

13888.193 = (\frac{1}{0.0607} \cdot 81) \cdot (\frac{0.702 \cdot {(1 + (0.21 \cdot 0.702))}^{2}}{{(1 - 0.702)}^{2}})

13888.193s = (\frac{1}{0.0607m³/(mol*s)} \cdot 81mol/m³) \cdot (\frac{0.702 \cdot {(1 + (0.21 \cdot 0.702))}^{2}}{{(1 - 0.702)}^{2}})

13888.193 = (\frac{1}{0.0607} \cdot 81) \cdot (\frac{0.702 \cdot {(1 + (0.21 \cdot 0.702))}^{2}}{{(1 - 0.702)}^{2}})

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

Follow our step by step solution on how to calculate Space Time for Second Order Reaction using Rate Constant for Mixed Flow?

FIRST Step Consider the formula

𝛕 MixedFlow = (\frac{1}{k'' MFR} \cdot C o-MFR) \cdot (\frac{X MFR \cdot {(1 + (ε \cdot X MFR))}^{2}}{{(1 - X MFR)}^{2}})

Next Step Substitute values of Variables

∴

𝛕 MixedFlow = (\frac{1}{0.0607m³/(mol*s)} \cdot 81mol/m³) \cdot (\frac{0.702 \cdot {(1 + (0.21 \cdot 0.702))}^{2}}{{(1 - 0.702)}^{2}})

Next Step Prepare to Evaluate

∴

𝛕 MixedFlow = (\frac{1}{0.0607} \cdot 81) \cdot (\frac{0.702 \cdot {(1 + (0.21 \cdot 0.702))}^{2}}{{(1 - 0.702)}^{2}})

Next Step Evaluate

∴

𝛕 MixedFlow = 13888.1929914805s

LAST Step Rounding Answer

∴

𝛕 MixedFlow = 13888.193s

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

Variables

Space Time for Mixed Flow

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

Symbol: 𝛕_MixedFlow

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time for Mixed Flow

Rate Constant for Second Order Reaction in MFR

Rate Constant for Second Order Reaction in MFR is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.

Symbol: k^{'' MFR}

Measurement: Second Order Reaction Rate ConstantUnit: m³/(mol*s)

Note: Value should be greater than 0.

Formulas to find Rate Constant for Second Order Reaction in MFR

Initial Reactant Concentration in MFR

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

Symbol: C_o-MFR

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Concentration in MFR

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.

Symbol: X_MFR

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Reactant Conversion in MFR

Fractional Volume Change in Reactor

Fractional Volume Change in Reactor is the ratio of the change in volume and the initial volume.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fractional Volume Change in Reactor

Other formulas in Mixed Flow category

Go Initial Reactant Concentration for Second Order Reaction for Mixed Flow

Co MixedFlow = (\frac{1}{𝛕 MFR} \cdot k'' MFR) \cdot (\frac{X MFR \cdot {(1 + (ε \cdot X MFR))}^{2}}{{(1 - X MFR)}^{2}})

Go Initial Reactant Concentration for Zero Order Reaction for Mixed Flow

C o-MFR = \frac{k 0-MFR \cdot 𝛕 MFR}{X MFR}

Go Rate Constant for First Order Reaction for Mixed Flow

k1 MFR = (\frac{1}{𝛕 MFR}) \cdot (\frac{X MFR \cdot (1 + (ε \cdot X MFR))}{1 - X MFR})

Go Rate Constant for Second Order Reaction for Mixed Flow

k MixedFlow'' = (\frac{1}{𝛕 MFR} \cdot C o-MFR) \cdot (\frac{X MFR \cdot {(1 + (ε \cdot X MFR))}^{2}}{{(1 - X MFR)}^{2}})

How to Evaluate Space Time for Second Order Reaction using Rate Constant for Mixed Flow?

Space Time for Second Order Reaction using Rate Constant for Mixed Flow evaluator uses 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) to evaluate the Space Time for Mixed Flow, The Space Time for Second Order Reaction using Rate Constant for Mixed Flow formula is defined ast he time necessary to process volume of reactor fluid for second order reaction where fractional volume change is considerable for mixed flow. Space Time for Mixed Flow is denoted by 𝛕_MixedFlow symbol.

How to evaluate Space Time for Second Order Reaction using Rate Constant for Mixed Flow using this online evaluator? To use this online evaluator for Space Time for Second Order Reaction using Rate Constant for Mixed Flow, enter Rate Constant for Second Order Reaction in MFR (k^{'' MFR}), Initial Reactant Concentration in MFR (C_o-MFR), Reactant Conversion in MFR (X_MFR) & Fractional Volume Change in Reactor (ε) and hit the calculate button.

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

What is the formula to find Space Time for Second Order Reaction using Rate Constant for Mixed Flow?

The formula of Space Time for Second Order Reaction using Rate Constant for Mixed Flow is expressed as 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). Here is an example- 13654.59 = (1/0.0607*81)*((0.702*(1+(0.21*0.702))^2)/(1-0.702)^2).

How to calculate Space Time for Second Order Reaction using Rate Constant for Mixed Flow?

With Rate Constant for Second Order Reaction in MFR (k^{'' MFR}), Initial Reactant Concentration in MFR (C_o-MFR), Reactant Conversion in MFR (X_MFR) & Fractional Volume Change in Reactor (ε) we can find Space Time for Second Order Reaction using Rate Constant for Mixed Flow using the formula - 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).

Can the Space Time for Second Order Reaction using Rate Constant for Mixed Flow be negative?

No, the Space Time for Second Order Reaction using Rate Constant for Mixed Flow, measured in Time cannot be negative.

Which unit is used to measure Space Time for Second Order Reaction using Rate Constant for Mixed Flow?

Space Time for Second Order Reaction using Rate Constant 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 Second Order Reaction using Rate Constant for Mixed Flow can be measured.

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

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

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

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

Other formulas in Mixed Flow category

How to Evaluate Space Time for Second Order Reaction using Rate Constant for Mixed Flow?

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

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