Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series Solution

STEP 0: Pre-Calculation Summary
Formula Used
Space Time for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Reaction Rate for Vessel i
𝛕i = (C i-1-Ci)/ri
This formula uses 4 Variables
Variables Used
Space Time for Vessel i - (Measured in Second) - Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.
Reactant Concentration in Vessel i-1 - (Measured in Mole per Cubic Meter) - Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1.
Reactant Concentration in Vessel i - (Measured in Mole per Cubic Meter) - Reactant Concentration in Vessel i is the amount of reactant per solvent in Vessel i.
Reaction Rate for Vessel i - (Measured in Mole per Cubic Meter Second) - Reaction Rate for Vessel i is the rate at which a reaction occurs to achieve the desire product.
STEP 1: Convert Input(s) to Base Unit
Reactant Concentration in Vessel i-1: 50 Mole per Cubic Meter --> 50 Mole per Cubic Meter No Conversion Required
Reactant Concentration in Vessel i: 30 Mole per Cubic Meter --> 30 Mole per Cubic Meter No Conversion Required
Reaction Rate for Vessel i: 0.17 Mole per Cubic Meter Second --> 0.17 Mole per Cubic Meter Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛕i = (C i-1-Ci)/ri --> (50-30)/0.17
Evaluating ... ...
𝛕i = 117.647058823529
STEP 3: Convert Result to Output's Unit
117.647058823529 Second --> No Conversion Required
FINAL ANSWER
117.647058823529 Second <-- Space Time for Vessel i
(Calculation completed in 00.020 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 100+ more calculators!
Verified by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
Prerana Bakli has verified this Calculator and 1000+ more calculators!

10+ Design for Single Reactions Calculators

Initial Reactant Concentration for First Order Reaction using Reaction Rate
Initial Reactant Concentration = (Space Time for Vessel i*Reaction Rate for Vessel i)/(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i) Go
Space Time for First Order Reaction for Vessel i using Reaction Rate
Space Time for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Reaction Rate for Vessel i Go
Reaction Rate for Vessel i using Space Time
Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i Go
Initial Reactant Concentration for First Order Reaction using Molar Feed Rate
Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i Go
Space Time for First Order Reaction for Vessel i using Molar Flow Rate
Space Time for Vessel i = (Volume of Vessel i*Initial Reactant Concentration)/Molar Feed Rate Go
Volume of Vessel i for First Order Reaction using Molar Feed Rate
Volume of Vessel i = (Space Time for Vessel i*Molar Feed Rate)/Initial Reactant Concentration Go
Molar Feed Rate for First Order Reaction for Vessel i
Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i Go
Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate
Space Time for Vessel i = Volume of Vessel i/Volumetric Flow Rate Go
Volume of Vessel i for First Order Reaction using Volumetric Flow Rate
Volume of Vessel i = Volumetric Flow Rate*Space Time for Vessel i Go
Volumetric Flow Rate for First Order Reaction for Vessel i
Volumetric Flow Rate = Volume of Vessel i/Space Time for Vessel i Go

Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series Formula

Space Time for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Reaction Rate for Vessel i
𝛕i = (C i-1-Ci)/ri

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.

What is the difference between CSTR and PFR?

A PFR has a higher theoretical efficiency than a CSTR of the same volume. That is, given the same space-time (or residence time), a reaction will proceed to a higher percentage completion in a PFR than in a CSTR. This is not always true for reversible reactions.

How to Calculate Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series?

Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series calculator uses Space Time for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Reaction Rate for Vessel i to calculate the Space Time for Vessel i, The Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel i for mixed flow. Space Time for Vessel i is denoted by 𝛕i symbol.

How to calculate Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series using this online calculator? To use this online calculator for Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series, enter Reactant Concentration in Vessel i-1 (C i-1), Reactant Concentration in Vessel i (Ci) & Reaction Rate for Vessel i (ri) and hit the calculate button. Here is how the Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series calculation can be explained with given input values -> 117.6471 = (50-30)/0.17.

FAQ

What is Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series?
The Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel i for mixed flow and is represented as 𝛕i = (C i-1-Ci)/ri or Space Time for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Reaction Rate for Vessel i. Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1, Reactant Concentration in Vessel i is the amount of reactant per solvent in Vessel i & Reaction Rate for Vessel i is the rate at which a reaction occurs to achieve the desire product.
How to calculate Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series?
The Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel i for mixed flow is calculated using Space Time for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Reaction Rate for Vessel i. To calculate Space Time for Vessel i for Mixed Flow Reactors of Different Sizes in Series, you need Reactant Concentration in Vessel i-1 (C i-1), Reactant Concentration in Vessel i (Ci) & Reaction Rate for Vessel i (ri). With our tool, you need to enter the respective value for Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Reaction Rate for Vessel i 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 for Vessel i?
In this formula, Space Time for Vessel i uses Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Reaction Rate for Vessel i. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Space Time for Vessel i = Volume of Vessel i/Volumetric Flow Rate
  • Space Time for Vessel i = (Volume of Vessel i*Initial Reactant Concentration)/Molar Feed Rate
  • Space Time for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Reaction Rate for Vessel i
  • Space Time for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i *Rate Constant for First Order Reaction)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!