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

✖The Rate Constant for First Order in Batch Reactor is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order in Batch Reactor [k_batch]			+10% -10%
✖The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration in Batch Reactor [C_{o Batch}]			+10% -10%
✖The Reactant Conc at any Time in Batch Reactor refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Conc at any Time in Batch Reactor [C_Batch]			+10% -10%

✖Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time for First Order Reaction using Reactant Concentration for Plug Flow [𝛕_Batch]

⎘ Copy

👎

Formula

✖

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

Formula

`"𝛕"_{"Batch"} = (1/"k"_{"batch"})*ln("C"_{"o Batch"}/"C"_{"Batch"})`

Example

`"0.050423s"=(1/"25.09s⁻¹")*ln("81.5mol/m³"/"23mol/m³")`

Calculator

LaTeX

Reset

👍

Download Homogeneous Reactions in Ideal Reactors Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
𝛕_Batch = (1/k_batch)*ln(C_{o Batch}/C_Batch)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Space Time in Batch Reactor - (Measured in Second) - Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.
Rate Constant for First Order in Batch Reactor - (Measured in 1 Per Second) - The Rate Constant for First Order in Batch Reactor is defined as the rate of the reaction divided by the concentration of the reactant.
Initial Reactant Concentration in Batch Reactor - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process.
Reactant Conc at any Time in Batch Reactor - (Measured in Mole per Cubic Meter) - The Reactant Conc at any Time in Batch Reactor refers to the amount of reactant present in the solvent at any given point of time during the process.

STEP 1: Convert Input(s) to Base Unit

Rate Constant for First Order in Batch Reactor: 25.09 1 Per Second --> 25.09 1 Per Second No Conversion Required
Initial Reactant Concentration in Batch Reactor: 81.5 Mole per Cubic Meter --> 81.5 Mole per Cubic Meter No Conversion Required
Reactant Conc at any Time in Batch Reactor: 23 Mole per Cubic Meter --> 23 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛕_Batch = (1/k_batch)*ln(C_{o Batch}/C_Batch) --> (1/25.09)*ln(81.5/23)

Evaluating ... ...

𝛕_Batch = 0.0504228299847616

STEP 3: Convert Result to Output's Unit

0.0504228299847616 Second --> No Conversion Required

FINAL ANSWER

0.0504228299847616 ≈ 0.050423 Second <-- Space Time in Batch Reactor

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Homogeneous Reactions in Ideal Reactors » Ideal Reactors for a Single Reaction » Performance Equations for ε equals to 0 » Plug Flow or Batch » Space Time for First Order Reaction using Reactant Concentration for Plug Flow

Credits

Created by akhilesh

K. K. Wagh Institute of Engineering Education and Research (K.K.W.I.E.E.R.), Nashik

akhilesh has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 14 Plug Flow or Batch Calculators

Rate Constant for Second Order Reaction using Reactant Concentration for Plug Flow

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

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

Go 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)

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

Go Initial Reactant Concentration in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Space Time in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

Rate Constant for Second Order Reaction using Space Time for Plug Flow

Go Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

Space Time for Second Order Reaction for Plug Flow

Go 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))

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

Go 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)

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

Go 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)

Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow

Go Reactant Conc at any Time in Batch Reactor = Initial Reactant Concentration in Batch Reactor-(Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)

Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow

Go Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch

Reactant Conversion for Zero Order Reaction using Space Time for Plug Flow

Go Reactant Conversion in Batch = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Initial Reactant Concentration in Batch Reactor

Rate Constant for Zero Order Reaction using Space Time for Plug Flow

Go Rate Constant for Zero Order in Batch = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Space Time in Batch Reactor

Space Time for Zero Order Reaction for Plug Flow

Go Space Time in Batch Reactor = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Rate Constant for Zero Order in Batch

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

Go Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))

Space Time for First Order Reaction for Plug Flow

Go Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))

< 25 Reactor Performance Equations for Constant Volume Reactions Calculators

Rate Constant for Second Order Reaction using Reactant Concentration for Plug Flow

Rate Constant for Second Order Reaction using Reactant Concentration for Mixed Flow

Go Rate Constant for Second Order in Mixed Flow = (Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/((Space Time in Mixed Flow)*(Reactant Concentration at given Time)^2)

Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow

Go Space Time in Mixed Flow = (Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/((Rate Constant for Second Order in Mixed Flow)*(Reactant Concentration at given Time)^2)

Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow

Go Initial Reactant Concentration in Mixed Flow = (Reactant Conversion in Mixed Flow)/((1-Reactant Conversion in Mixed Flow)^2*(Space Time in Mixed Flow)*(Rate Constant for Second Order in Mixed Flow))

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

Go Rate Constant for Second Order in Mixed Flow = (Reactant Conversion in Mixed Flow)/((1-Reactant Conversion in Mixed Flow)^2*(Space Time in Mixed Flow)*(Initial Reactant Concentration in Mixed Flow))

Space Time for Second Order Reaction for Mixed Flow

Go Space Time in Mixed Flow = (Reactant Conversion in Mixed Flow)/((1-Reactant Conversion in Mixed Flow)^2*(Rate Constant for Second Order in Mixed Flow)*(Initial Reactant Concentration in Mixed Flow))

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

Go Initial Reactant Concentration in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Space Time in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

Rate Constant for Second Order Reaction using Space Time for Plug Flow

Go Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))

Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow

Go Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*((Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/Reactant Concentration at given Time)

Space Time for First Order Reaction using Reactant Concentration for Mixed Flow

Go Space Time in Mixed Flow = (1/Rate Constant for First Order Reaction)*((Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/Reactant Concentration at given Time)

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

Go 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)

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

Go 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)

Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow

Go Reactant Conc at any Time in Batch Reactor = Initial Reactant Concentration in Batch Reactor-(Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)

Reactant Concentration for Zero Order Reaction using Space Time for Mixed Flow

Go Reactant Concentration at given Time = Initial Reactant Concentration in Mixed Flow-(Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)

Initial Reactant Concentration for Zero Order Reaction using Space Time for Mixed Flow

Go Initial Reactant Concentration in Mixed Flow = (Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)/Reactant Conversion in Mixed Flow

Reactant Conversion for Zero Order Reaction using Space Time for Mixed Flow

Go Reactant Conversion in Mixed Flow = (Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)/Initial Reactant Concentration in Mixed Flow

Rate Constant for Zero Order Reaction using Space Time for Mixed Flow

Go Rate Constant for Zero Order in Mixed Flow = (Reactant Conversion in Mixed Flow*Initial Reactant Concentration in Mixed Flow)/Space Time in Mixed Flow

Space Time for Zero Order Reaction for Mixed Flow

Go Space Time in Mixed Flow = (Reactant Conversion in Mixed Flow*Initial Reactant Concentration in Mixed Flow)/Rate Constant for Zero Order in Mixed Flow

Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow

Go Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch

Reactant Conversion for Zero Order Reaction using Space Time for Plug Flow

Go Reactant Conversion in Batch = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Initial Reactant Concentration in Batch Reactor

Rate Constant for Zero Order Reaction using Space Time for Plug Flow

Go Rate Constant for Zero Order in Batch = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Space Time in Batch Reactor

Rate Constant for First Order Reaction using Space Time for Mixed Flow

Go Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))

Space Time for First Order Reaction for Mixed Flow

Go Space Time in Mixed Flow = (1/Rate Constant for First Order Reaction)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))

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

Go Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))

Space Time for First Order Reaction for Plug Flow

Go Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))

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

What is Plug Flow Reactor?

The plug flow reactor model (PFR, sometimes called continuous tubular reactor, CTR, or piston flow reactors) is a model used to describe chemical reactions in continuous, flowing systems of cylindrical geometry. The PFR model is used to predict the behavior of chemical reactors of such design, so that key reactor variables, such as the dimensions of the reactor, can be estimated.

How to Calculate Space Time for First Order Reaction using Reactant Concentration for Plug Flow?

Space Time for First Order Reaction using Reactant Concentration for Plug Flow calculator uses 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) to calculate the Space Time in Batch Reactor, The Space Time for First Order Reaction using Reactant Concentration 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 calculate Space Time for First Order Reaction using Reactant Concentration for Plug Flow using this online calculator? To use this online calculator for Space Time for First Order Reaction using Reactant Concentration for Plug Flow, enter Rate Constant for First Order in Batch Reactor (k_batch), Initial Reactant Concentration in Batch Reactor (C_{o Batch}) & Reactant Conc at any Time in Batch Reactor (C_Batch) and hit the calculate button. Here is how the Space Time for First Order Reaction using Reactant Concentration for Plug Flow calculation can be explained with given input values -> 0.050178 = (1/25.09)*ln(81.5/23).

FAQ

What is Space Time for First Order Reaction using Reactant Concentration for Plug Flow?

The Space Time for First Order Reaction using Reactant Concentration 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 and is represented as 𝛕_Batch = (1/k_batch)*ln(C_{o Batch}/C_Batch) or 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). The Rate Constant for First Order in Batch Reactor is defined as the rate of the reaction divided by the concentration of the reactant, The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process & The Reactant Conc at any Time in Batch Reactor refers to the amount of reactant present in the solvent at any given point of time during the process.

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

The Space Time for First Order Reaction using Reactant Concentration 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 is calculated using 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). To calculate Space Time for First Order Reaction using Reactant Concentration for Plug Flow, you need Rate Constant for First Order in Batch Reactor (k_batch), Initial Reactant Concentration in Batch Reactor (C_{o Batch}) & Reactant Conc at any Time in Batch Reactor (C_Batch). With our tool, you need to enter the respective value for Rate Constant for First Order in Batch Reactor, Initial Reactant Concentration in Batch Reactor & Reactant Conc at any Time in Batch Reactor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Space Time in Batch Reactor?

In this formula, Space Time in Batch Reactor uses Rate Constant for First Order in Batch Reactor, Initial Reactant Concentration in Batch Reactor & Reactant Conc at any Time in Batch Reactor. We can use 8 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search