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

STEP 0: Pre-Calculation Summary
Formula Used
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)
𝛕mixed = (Co-C)/((kmixed)*(C)^2)
This formula uses 4 Variables
Variables Used
Space Time in Mixed Flow - (Measured in Second) - Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions.
Initial Reactant Concentration in Mixed Flow - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process.
Reactant Concentration at given Time - (Measured in Mole per Cubic Meter) - The Reactant Concentration at given Time refers to the amount of reactant present in the solvent at any given point of time during the process.
Rate Constant for Second Order in Mixed Flow - (Measured in Cubic Meter per Mole Second) - The Rate Constant for Second Order in Mixed Flow is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
STEP 1: Convert Input(s) to Base Unit
Initial Reactant Concentration in Mixed Flow: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Reactant Concentration at given Time: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required
Rate Constant for Second Order in Mixed Flow: 0.609 Cubic Meter per Mole Second --> 0.609 Cubic Meter per Mole Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛕mixed = (Co-C)/((kmixed)*(C)^2) --> (80-24)/((0.609)*(24)^2)
Evaluating ... ...
𝛕mixed = 0.159642401021711
STEP 3: Convert Result to Output's Unit
0.159642401021711 Second --> No Conversion Required
FINAL ANSWER
0.159642401021711 0.159642 Second <-- Space Time in Mixed Flow
(Calculation completed in 00.004 seconds)

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 Mixed Flow Calculators

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))
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)
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
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))

25 Reactor Performance Equations for Constant Volume Reactions 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)
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 Second Order Reaction using Reactant Concentration for Mixed Flow Formula

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)
𝛕mixed = (Co-C)/((kmixed)*(C)^2)

What is continuous stirred-tank reactor?

The continuous stirred-tank reactor (CSTR), also known as vat- or backmix reactor, mixed flow reactor (MFR), or a continuous-flow stirred-tank reactor (CFSTR), is a common model for a chemical reactor in chemical engineering and environmental engineering. A CSTR often refers to a model used to estimate the key unit operation variables when using a continuous agitated-tank reactor to reach a specified output. The mathematical model works for all fluids: liquids, gases, and slurries.

How to Calculate Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow?

Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow calculator uses 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) to calculate the Space Time in Mixed Flow, The Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero. Space Time in Mixed Flow is denoted by 𝛕mixed symbol.

How to calculate Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow using this online calculator? To use this online calculator for Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow, enter Initial Reactant Concentration in Mixed Flow (Co), Reactant Concentration at given Time (C) & Rate Constant for Second Order in Mixed Flow (kmixed) and hit the calculate button. Here is how the Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow calculation can be explained with given input values -> 0.159642 = (80-24)/((0.609)*(24)^2).

FAQ

What is Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow?
The Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero and is represented as 𝛕mixed = (Co-C)/((kmixed)*(C)^2) or 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). The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process, The Reactant Concentration at given Time refers to the amount of reactant present in the solvent at any given point of time during the process & The Rate Constant for Second Order in Mixed Flow is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
How to calculate Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow?
The Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero is calculated using 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). To calculate Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow, you need Initial Reactant Concentration in Mixed Flow (Co), Reactant Concentration at given Time (C) & Rate Constant for Second Order in Mixed Flow (kmixed). With our tool, you need to enter the respective value for Initial Reactant Concentration in Mixed Flow, Reactant Concentration at given Time & Rate Constant for Second Order in Mixed Flow 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 Mixed Flow?
In this formula, Space Time in Mixed Flow uses Initial Reactant Concentration in Mixed Flow, Reactant Concentration at given Time & Rate Constant for Second Order in Mixed Flow. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Space Time in Mixed Flow = (Reactant Conversion in Mixed Flow*Initial Reactant Concentration in Mixed Flow)/Rate Constant for Zero Order in Mixed Flow
  • Space Time in Mixed Flow = (1/Rate Constant for First Order Reaction)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
  • 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)
  • 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))
  • Space Time in Mixed Flow = (1/Rate Constant for First Order Reaction)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
  • 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)
  • 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))
  • Space Time in Mixed Flow = (Reactant Conversion in Mixed Flow*Initial Reactant Concentration in Mixed Flow)/Rate Constant for Zero Order in Mixed Flow
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!