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Space Time for First Order Reaction for Plug Flow or for Infinite Reactors Formula

GoSpace Time for Second Order Reaction for Plug Flow or Infinite Reactors Formula

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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. Check FAQs

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

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

Space Time for First Order Reaction for Plug Flow or for Infinite Reactors Example

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

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

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

0.4801 = (\frac{1}{2.508}) \cdot \ln (\frac{80}{24})

0.4801s = (\frac{1}{2.508s⁻¹}) \cdot \ln (\frac{80mol/m³}{24mol/m³})

0.4801 = (\frac{1}{2.508}) \cdot \ln (\frac{80}{24})

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Space Time for First Order Reaction for Plug Flow or for Infinite Reactors Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝛕 p = (\frac{1}{2.508s⁻¹}) \cdot \ln (\frac{80mol/m³}{24mol/m³})

Next Step Prepare to Evaluate

∴

𝛕 p = (\frac{1}{2.508}) \cdot \ln (\frac{80}{24})

Next Step Evaluate

∴

𝛕 p = 0.480052952283069s

LAST Step Rounding Answer

∴

𝛕 p = 0.4801s

Space Time for First Order Reaction for Plug Flow or for Infinite Reactors Formula Elements

Variables

Functions

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

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

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 Space Time for Plug Flow Reactor

Go Space Time for Second Order Reaction for Plug Flow or Infinite Reactors

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

Other formulas in Design for Single Reactions category

Go Initial Reactant Concentration for First Order Reaction in Vessel i

C i-1 = C i \cdot (1 + (k' \cdot trC2'))

Go Initial Reactant Concentration for First Order Reaction using Reaction Rate

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

Go Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors

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

Go Reactant Concentration for First Order Reaction in Vessel i

C i = \frac{C i-1}{1 + (k' \cdot trC2')}

How to Evaluate Space Time for First Order Reaction for Plug Flow or for Infinite Reactors?

Space Time for First Order Reaction for Plug Flow or for Infinite Reactors evaluator uses Space Time for Plug Flow Reactor = (1/Rate Constant for First Order Reaction)*ln(Initial Reactant Concentration/Reactant Concentration) to evaluate the Space Time for Plug Flow Reactor, The Space Time for First Order Reaction for Plug Flow or for Infinite Reactors formula is defined as the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor or infinite reactors for first order reaction. Space Time for Plug Flow Reactor is denoted by 𝛕_p symbol.

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

FAQs on Space Time for First Order Reaction for Plug Flow or for Infinite Reactors

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

The formula of Space Time for First Order Reaction for Plug Flow or for Infinite Reactors is expressed as Space Time for Plug Flow Reactor = (1/Rate Constant for First Order Reaction)*ln(Initial Reactant Concentration/Reactant Concentration). Here is an example- 0.480053 = (1/2.508)*ln(80/24).

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

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

What are the other ways to Calculate Space Time for Plug Flow Reactor?

Here are the different ways to Calculate Space Time for Plug Flow Reactor-

Space Time for Plug Flow Reactor=(1/(Initial Reactant Concentration*Rate Constant for Second Order Reaction))*((Initial Reactant Concentration/Reactant Concentration)-1)

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

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

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

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

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