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Space Time for First Order Reaction for Plug Flow Formula

GoSpace Time for First Order Reaction using Reactant Concentration for Plug Flow Formula

GoSpace Time for Second Order Reaction for Plug Flow Formula

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

𝛕 Batch = (\frac{1}{k batch}) \cdot \ln (\frac{1}{1 - X A Batch})

𝛕_Batch - Space Time in Batch Reactor?k_batch - Rate Constant for First Order in Batch Reactor?X_{A Batch} - Reactant Conversion in Batch?

Space Time for First Order Reaction for Plug Flow Example

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Here is how the Space Time for First Order Reaction for Plug Flow equation looks like with Values.

Here is how the Space Time for First Order Reaction for Plug Flow equation looks like with Units.

Here is how the Space Time for First Order Reaction for Plug Flow equation looks like.

0.0494 = (\frac{1}{25.09}) \cdot \ln (\frac{1}{1 - 0.7105})

0.0494s = (\frac{1}{25.09s⁻¹}) \cdot \ln (\frac{1}{1 - 0.7105})

0.0494 = (\frac{1}{25.09}) \cdot \ln (\frac{1}{1 - 0.7105})

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Space Time for First Order Reaction for Plug Flow Solution

Follow our step by step solution on how to calculate Space Time for First Order Reaction for Plug Flow?

FIRST Step Consider the formula

𝛕 Batch = (\frac{1}{k batch}) \cdot \ln (\frac{1}{1 - X A Batch})

Next Step Substitute values of Variables

∴

𝛕 Batch = (\frac{1}{25.09s⁻¹}) \cdot \ln (\frac{1}{1 - 0.7105})

Next Step Prepare to Evaluate

∴

𝛕 Batch = (\frac{1}{25.09}) \cdot \ln (\frac{1}{1 - 0.7105})

Next Step Evaluate

∴

𝛕 Batch = 0.0494061371848979s

LAST Step Rounding Answer

∴

𝛕 Batch = 0.0494s

Space Time for First Order Reaction for Plug Flow Formula Elements

Variables

Functions

Space Time in Batch Reactor

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

Symbol: 𝛕_Batch

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time in Batch Reactor

Rate Constant for First Order in Batch Reactor

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

Symbol: k_batch

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant for First Order in Batch Reactor

Reactant Conversion in Batch

Reactant Conversion in Batch gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.

Symbol: X_{A Batch}

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Reactant Conversion in Batch

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Space Time in Batch Reactor

Go Space Time for First Order Reaction using Reactant Concentration for Plug Flow

𝛕 Batch = (\frac{1}{k batch}) \cdot \ln (\frac{C o Batch}{C Batch})

Go Space Time for Second Order Reaction for Plug Flow

𝛕 Batch = (\frac{1}{k'' \cdot C o Batch}) \cdot (\frac{X A Batch}{1 - X A Batch})

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

𝛕 Batch = \frac{C o Batch - C Batch}{k'' \cdot C o Batch \cdot C Batch}

Go Space Time for Zero Order Reaction for Plug Flow

𝛕 Batch = \frac{X A Batch \cdot C o Batch}{k Batch}

Other formulas in Plug Flow or Batch 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 for Plug Flow?

Space Time for First Order Reaction for Plug Flow evaluator uses Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)) to evaluate the Space Time in Batch Reactor, The Space Time for First Order Reaction for Plug Flow formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is zero. Space Time in Batch Reactor is denoted by 𝛕_Batch symbol.

How to evaluate Space Time for First Order Reaction for Plug Flow using this online evaluator? To use this online evaluator for Space Time for First Order Reaction for Plug Flow, enter Rate Constant for First Order in Batch Reactor (k_batch) & Reactant Conversion in Batch (X_{A Batch}) and hit the calculate button.

FAQs on Space Time for First Order Reaction for Plug Flow

What is the formula to find Space Time for First Order Reaction for Plug Flow?

The formula of Space Time for First Order Reaction for Plug Flow is expressed as Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)). Here is an example- 0.047986 = (1/25.09)*ln(1/(1-0.7105)).

How to calculate Space Time for First Order Reaction for Plug Flow?

With Rate Constant for First Order in Batch Reactor (k_batch) & Reactant Conversion in Batch (X_{A Batch}) we can find Space Time for First Order Reaction for Plug Flow using the formula - Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Space Time in Batch Reactor?

Here are the different ways to Calculate Space Time in Batch Reactor-

Space Time in Batch Reactor=(1/Rate Constant for First Order in Batch Reactor)*ln(Initial Reactant Concentration in Batch Reactor/Reactant Conc at any Time in Batch Reactor)
Space Time in Batch Reactor=(1/(Rate Constant for Second Order in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))
Space Time in Batch Reactor=(Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time in Batch Reactor)/(Rate Constant for Second Order in Batch Reactor*Initial Reactant Concentration in Batch Reactor*Reactant Conc at any Time in Batch Reactor)

Can the Space Time for First Order Reaction for Plug Flow be negative?

No, the Space Time for First Order Reaction for Plug Flow, measured in Time cannot be negative.

Which unit is used to measure Space Time for First Order Reaction for Plug Flow?

Space Time for First Order Reaction for Plug 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 for Plug Flow can be measured.

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