## Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Space Time for Vessel i
ri = (C i-1-Ci)/𝛕i
This formula uses 4 Variables
Variables Used
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.
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.
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.
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
Space Time for Vessel i: 45 Second --> 45 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = (C i-1-Ci)/𝛕i --> (50-30)/45
Evaluating ... ...
ri = 0.444444444444444
STEP 3: Convert Result to Output's Unit
0.444444444444444 Mole per Cubic Meter Second --> No Conversion Required
FINAL ANSWER
0.444444444444444 Mole per Cubic Meter Second <-- Reaction Rate for Vessel i
(Calculation completed in 00.018 seconds)
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## < 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

## Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series Formula

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

## 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 Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series?

Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series calculator uses Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Space Time for Vessel i to calculate the Reaction Rate for Vessel i, The Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the speed with which reaction proceeds in vessel i. Reaction Rate for Vessel i is denoted by ri symbol.

How to calculate Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series using this online calculator? To use this online calculator for Reaction Rate 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) & Space Time for Vessel i (𝛕i) and hit the calculate button. Here is how the Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series calculation can be explained with given input values -> 0.444444 = (50-30)/45.

### FAQ

What is Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series?
The Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the speed with which reaction proceeds in vessel i and is represented as ri = (C i-1-Ci)/𝛕i or Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Space Time 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 & Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.
How to calculate Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series?
The Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series formula is defined as the speed with which reaction proceeds in vessel i is calculated using Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Space Time for Vessel i. To calculate Reaction Rate 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) & Space Time for Vessel i (𝛕i). With our tool, you need to enter the respective value for Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Space Time 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 Reaction Rate for Vessel i?
In this formula, Reaction Rate for Vessel i uses Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Space Time for Vessel i. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i
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