Reaction Rate for Vessel i using Space Time Calculator

✖The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration [C_o]			+10% -10%
✖Reactant Conversion of Vessel i-1 gives us the percentage of reactants converted into products in vessel i-1.ⓘ Reactant Conversion of Vessel i-1 [X_i-1]			+10% -10%
✖Reactant Conversion of Vessel i gives us the percentage of reactants converted into products in vessel i.ⓘ Reactant Conversion of Vessel i [X_i]			+10% -10%
✖Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.ⓘ Space Time for Vessel i [𝛕_i]			+10% -10%

✖Reaction Rate for Vessel i is the rate at which a reaction occurs to achieve the desire product.ⓘ Reaction Rate for Vessel i using Space Time [r_i]

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Formula

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Reaction Rate for Vessel i using Space Time

Formula

`"r"_{"i"} = ("C"_{"o"}*("X"_{"i-1"}-"X"_{"i"}))/"𝛕"_{"i"}`

Example

`"0.177778mol/m³*s"=("80mol/m³"*("0.8"-"0.7"))/"45s"`

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Reaction Rate for Vessel i using Space Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i
r_i = (C_o*(X_i-1-X_i))/𝛕_i
This formula uses 5 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.
Initial Reactant Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.
Reactant Conversion of Vessel i-1 - Reactant Conversion of Vessel i-1 gives us the percentage of reactants converted into products in vessel i-1.
Reactant Conversion of Vessel i - Reactant Conversion of Vessel i gives us the percentage of reactants converted into products 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

Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Reactant Conversion of Vessel i-1: 0.8 --> No Conversion Required
Reactant Conversion of Vessel i: 0.7 --> No Conversion Required
Space Time for Vessel i: 45 Second --> 45 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (C_o*(X_i-1-X_i))/𝛕_i --> (80*(0.8-0.7))/45

Evaluating ... ...

r_i = 0.177777777777778

STEP 3: Convert Result to Output's Unit

0.177777777777778 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

0.177777777777778 ≈ 0.177778 Mole per Cubic Meter Second <-- Reaction Rate for Vessel i

(Calculation completed in 00.004 seconds)

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< 22 Design for Single Reactions Calculators

Space Time for First Order Reaction in Vessel i

Go Adjusted Retention Time of Comp 2 = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i*Rate Constant for First Order Reaction)

Rate Constant for First Order Reaction in Vessel i

Go Rate Constant for First Order Reaction = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i*Space Time for Vessel i)

Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors

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

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

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

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

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

Initial Reactant Concentration for First Order Reaction using Reaction Rate

Go Initial Reactant Concentration = (Adjusted Retention Time of Comp 2*Reaction Rate for Vessel i)/(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i)

Space Time for First Order Reaction for Vessel i using Reaction Rate

Go Adjusted Retention Time of Comp 2 = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Reaction Rate for Vessel i

Reaction Rate for Vessel i using Space Time

Go Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i

Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors

Go Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration)

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

Go Space Time for Plug Flow Reactor = (1/Rate Constant for First Order Reaction)*ln(Initial Reactant Concentration/Reactant Concentration)

Initial Reactant Concentration for First Order Reaction in Vessel i

Go Reactant Concentration in Vessel i-1 = Reactant Concentration in Vessel i*(1+(Rate Constant for First Order Reaction*Adjusted Retention Time of Comp 2))

Reactant Concentration for First Order Reaction in Vessel i

Go Reactant Concentration in Vessel i = Reactant Concentration in Vessel i-1/(1+(Rate Constant for First Order Reaction*Adjusted Retention Time of Comp 2))

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

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

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

Go Reaction Rate for Vessel i = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Adjusted Retention Time of Comp 2

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

Go Adjusted Retention Time of Comp 2 = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Reaction Rate for Vessel i

Space Time for First Order Reaction for Vessel i using Molar Flow Rate

Go Adjusted Retention Time of Comp 2 = (Volume of Vessel i*Initial Reactant Concentration)/Molar Feed Rate

Volume of Vessel i for First Order Reaction using Molar Feed Rate

Go Volume of Vessel i = (Adjusted Retention Time of Comp 2*Molar Feed Rate)/Initial Reactant Concentration

Initial Reactant Concentration for First Order Reaction using Molar Feed Rate

Go Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i

Molar Feed Rate for First Order Reaction for Vessel i

Go Molar Feed Rate = (Volume of Vessel i*Initial Reactant Concentration)/Space Time for Vessel i

Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate

Go Adjusted Retention Time of Comp 2 = Volume of Vessel i/Volumetric Flow Rate

Volume of Vessel i for First Order Reaction using Volumetric Flow Rate

Go Volume of Vessel i = Volumetric Flow Rate*Adjusted Retention Time of Comp 2

Volumetric Flow Rate for First Order Reaction for Vessel i

Go Volumetric Flow Rate = Volume of Vessel i/Adjusted Retention Time of Comp 2

Reaction Rate for Vessel i using Space Time Formula

Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i
r_i = (C_o*(X_i-1-X_i))/𝛕_i

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 first order reaction?

A first-order reaction can be defined as a chemical reaction in which the reaction rate is linearly dependent on the concentration of only one reactant. In other words, a first-order reaction is a chemical reaction in which the rate varies based on the changes in the concentration of only one of the reactants.

How to Calculate Reaction Rate for Vessel i using Space Time?

Reaction Rate for Vessel i using Space Time calculator uses Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i to calculate the Reaction Rate for Vessel i, The Reaction Rate for Vessel i using Space Time formula is defined as the speed with which first order reaction proceeds in vessel i. Reaction Rate for Vessel i is denoted by r_i symbol.

How to calculate Reaction Rate for Vessel i using Space Time using this online calculator? To use this online calculator for Reaction Rate for Vessel i using Space Time, enter Initial Reactant Concentration (C_o), Reactant Conversion of Vessel i-1 (X_i-1), Reactant Conversion of Vessel i (X_i) & Space Time for Vessel i (𝛕_i) and hit the calculate button. Here is how the Reaction Rate for Vessel i using Space Time calculation can be explained with given input values -> 0.177778 = (80*(0.8-0.7))/45.

FAQ

What is Reaction Rate for Vessel i using Space Time?

The Reaction Rate for Vessel i using Space Time formula is defined as the speed with which first order reaction proceeds in vessel i and is represented as r_i = (C_o*(X_i-1-X_i))/𝛕_i or Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i. The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process, Reactant Conversion of Vessel i-1 gives us the percentage of reactants converted into products in vessel i-1, Reactant Conversion of Vessel i gives us the percentage of reactants converted into products 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 using Space Time?

The Reaction Rate for Vessel i using Space Time formula is defined as the speed with which first order reaction proceeds in vessel i is calculated using Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i. To calculate Reaction Rate for Vessel i using Space Time, you need Initial Reactant Concentration (C_o), Reactant Conversion of Vessel i-1 (X_i-1), Reactant Conversion of Vessel i (X_i) & Space Time for Vessel i (𝛕_i). With our tool, you need to enter the respective value for Initial Reactant Concentration, Reactant Conversion of Vessel i-1, Reactant Conversion of 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 Initial Reactant Concentration, Reactant Conversion of Vessel i-1, Reactant Conversion of 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 = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/Adjusted Retention Time of Comp 2

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