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Rate Constant for First Order Reaction using Space Time for Plug Flow Formula

GoRate Constant for First Order Reaction using Reactant Concentration for Plug Flow Formula

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

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

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

Rate Constant for First Order Reaction using Space Time for Plug Flow Example

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

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

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

24.3059 = (\frac{1}{0.051}) \cdot \ln (\frac{1}{1 - 0.7105})

24.3059s⁻¹ = (\frac{1}{0.051s}) \cdot \ln (\frac{1}{1 - 0.7105})

24.3059 = (\frac{1}{0.051}) \cdot \ln (\frac{1}{1 - 0.7105})

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Rate Constant for First Order Reaction using Space Time for Plug Flow Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k batch = (\frac{1}{0.051s}) \cdot \ln (\frac{1}{1 - 0.7105})

Next Step Prepare to Evaluate

∴

k batch = (\frac{1}{0.051}) \cdot \ln (\frac{1}{1 - 0.7105})

Next Step Evaluate

∴

k batch = 24.3058819993939s⁻¹

LAST Step Rounding Answer

∴

k batch = 24.3059s⁻¹

Rate Constant for First Order Reaction using Space Time for Plug Flow Formula Elements

Variables

Functions

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

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

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 Rate Constant for First Order in Batch Reactor

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

k batch = (\frac{1}{𝛕 Batch}) \cdot \ln (\frac{C o Batch}{C 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 Rate Constant for First Order Reaction using Space Time for Plug Flow?

Rate Constant for First Order Reaction using Space Time for Plug Flow evaluator uses Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)) to evaluate the Rate Constant for First Order in Batch Reactor, The Rate Constant for First Order Reaction using Space Time for Plug 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. Rate Constant for First Order in Batch Reactor is denoted by k_batch symbol.

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

FAQs on Rate Constant for First Order Reaction using Space Time for Plug Flow

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

The formula of Rate Constant for First Order Reaction using Space Time for Plug Flow is expressed as Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch)). Here is an example- 23.60731 = (1/0.051)*ln(1/(1-0.7105)).

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

With Space Time in Batch Reactor (𝛕_Batch) & Reactant Conversion in Batch (X_{A Batch}) we can find Rate Constant for First Order Reaction using Space Time for Plug Flow using the formula - Rate Constant for First Order in Batch Reactor = (1/Space Time 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 Rate Constant for First Order in Batch Reactor?

Here are the different ways to Calculate Rate Constant for First Order in Batch Reactor-

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

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

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

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

Rate Constant for First Order Reaction using Space Time for Plug Flow is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant for First Order Reaction using Space Time for Plug Flow can be measured.

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