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Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors Formula

GoRate Constant for First Order Reaction in Vessel i Formula

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

k' = (\frac{1}{𝛕 p}) \cdot \ln (\frac{C o}{C})

k^' - Rate Constant for First Order Reaction?𝛕_p - Space Time for Plug Flow Reactor?C_o - Initial Reactant Concentration?C - Reactant Concentration?

Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors Example

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Here is how the Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors equation looks like with Values.

Here is how the Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors equation looks like with Units.

Here is how the Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors equation looks like.

2.5083 = (\frac{1}{0.48}) \cdot \ln (\frac{80}{24})

2.5083s⁻¹ = (\frac{1}{0.48s}) \cdot \ln (\frac{80mol/m³}{24mol/m³})

2.5083 = (\frac{1}{0.48}) \cdot \ln (\frac{80}{24})

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Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors Solution

Follow our step by step solution on how to calculate Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors?

FIRST Step Consider the formula

k' = (\frac{1}{𝛕 p}) \cdot \ln (\frac{C o}{C})

Next Step Substitute values of Variables

∴

k' = (\frac{1}{0.48s}) \cdot \ln (\frac{80mol/m³}{24mol/m³})

Next Step Prepare to Evaluate

∴

k' = (\frac{1}{0.48}) \cdot \ln (\frac{80}{24})

Next Step Evaluate

∴

k' = 2.50827667567903s⁻¹

LAST Step Rounding Answer

∴

k' = 2.5083s⁻¹

Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors Formula Elements

Variables

Functions

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

Space Time for Plug Flow Reactor

Space Time for Plug Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor.

Symbol: 𝛕_p

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Space Time for Plug Flow Reactor

Initial Reactant Concentration

The Initial Reactant Concentration 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

Reactant Concentration

The Reactant Concentration 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

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 Reaction

Go Rate Constant for First Order Reaction in Vessel i

k' = \frac{C i-1 - C i}{C i \cdot 𝛕 i}

Other formulas in Design for Single Reactions category

Go Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate

trC2' = \frac{V i}{υ}

Go Space Time for First Order Reaction for Vessel i using Molar Flow Rate

trC2' = \frac{V i \cdot C o}{F 0}

Go Space Time for First Order Reaction for Vessel i using Reaction Rate

trC2' = \frac{C o \cdot (X i-1 - X i)}{r i}

Go Reaction Rate for Vessel i using Space Time

r i = \frac{C o \cdot (X i-1 - X i)}{𝛕 i}

How to Evaluate Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors?

Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors evaluator uses Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration) to evaluate the Rate Constant for First Order Reaction, The Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors formula is defined as the constant of proportionality which gives the relation between rate for first order reaction and the first power of concentration of one of the reactants. Rate Constant for First Order Reaction is denoted by k^' symbol.

How to evaluate Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors using this online evaluator? To use this online evaluator for Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors, enter Space Time for Plug Flow Reactor (𝛕_p), Initial Reactant Concentration (C_o) & Reactant Concentration (C) and hit the calculate button.

FAQs on Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors

What is the formula to find Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors?

The formula of Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors is expressed as Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration). Here is an example- 20.06621 = (1/0.48)*ln(80/24).

How to calculate Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors?

With Space Time for Plug Flow Reactor (𝛕_p), Initial Reactant Concentration (C_o) & Reactant Concentration (C) we can find Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors using the formula - Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Rate Constant for First Order Reaction?

Here are the different ways to Calculate Rate Constant for First Order Reaction-

Rate Constant for First Order Reaction=(Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i*Space Time for Vessel i)

Can the Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors be negative?

Yes, the Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors, measured in First Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors?

Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors 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 for Plug Flow or for Infinite Reactors can be measured.

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