Space Time for First Order Reaction in Vessel i Calculator

✖Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1.ⓘ Reactant Concentration in Vessel i-1 [C_i-1]			+10% -10%
✖Reactant Concentration in Vessel i is the amount of reactant per solvent in Vessel i.ⓘ Reactant Concentration in Vessel i [C_i]			+10% -10%
✖The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order Reaction [k^']			+10% -10%

✖Adjusted Retention Time of Comp 2 is the removal of time taken by the mobile phase to travel the column from the retention time of solute 2.ⓘ Space Time for First Order Reaction in Vessel i [trC2^']

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Space Time for First Order Reaction in Vessel i Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
trC2^' = (C_i-1-C_i)/(C_i*k^')
This formula uses 4 Variables

Variables Used

Adjusted Retention Time of Comp 2 - (Measured in Second) - Adjusted Retention Time of Comp 2 is the removal of time taken by the mobile phase to travel the column from the retention time of solute 2.
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.
Rate Constant for First Order Reaction - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

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
Rate Constant for First Order Reaction: 2.508 1 Per Second --> 2.508 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

trC2^' = (C_i-1-C_i)/(C_i*k^') --> (50-30)/(30*2.508)

Evaluating ... ...

trC2^' = 0.26581605528974

STEP 3: Convert Result to Output's Unit

0.26581605528974 Second --> No Conversion Required

FINAL ANSWER

0.26581605528974 ≈ 0.265816 Second <-- Adjusted Retention Time of Comp 2

(Calculation completed in 00.004 seconds)

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< Design for Single Reactions Calculators

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

LaTeX 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

LaTeX 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

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

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

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

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

< Important Formulas in Design of Reactors and Recycle Reactors for Single Reactions Calculators

Initial Reactant Concentration for First Order Reaction using Reaction Rate

LaTeX 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)

Initial Reactant Concentration for First Order Reaction in Vessel i

LaTeX 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

LaTeX 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

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

Space Time for First Order Reaction in Vessel i Formula

LaTeX Go

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 Space Time for First Order Reaction in Vessel i?

Space Time for First Order Reaction in Vessel i calculator uses 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) to calculate the Adjusted Retention Time of Comp 2, The Space Time for First Order Reaction in Vessel i formula is defined as the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel i for first order reaction. Adjusted Retention Time of Comp 2 is denoted by trC2^' symbol.

How to calculate Space Time for First Order Reaction in Vessel i using this online calculator? To use this online calculator for Space Time for First Order Reaction in Vessel i, enter Reactant Concentration in Vessel i-1 (C_i-1), Reactant Concentration in Vessel i (C_i) & Rate Constant for First Order Reaction (k^') and hit the calculate button. Here is how the Space Time for First Order Reaction in Vessel i calculation can be explained with given input values -> 45 = (50-30)/(30*2.508).

FAQ

What is Space Time for First Order Reaction in Vessel i?

The Space Time for First Order Reaction in Vessel i formula is defined as the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel i for first order reaction and is represented as trC2^' = (C_i-1-C_i)/(C_i*k^') or 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). 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 & The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

How to calculate Space Time for First Order Reaction in Vessel i?

The Space Time for First Order Reaction in Vessel i formula is defined as the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel i for first order reaction is calculated using 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). To calculate Space Time for First Order Reaction in Vessel i, you need Reactant Concentration in Vessel i-1 (C_i-1), Reactant Concentration in Vessel i (C_i) & Rate Constant for First Order Reaction (k^'). With our tool, you need to enter the respective value for Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Rate Constant for First Order Reaction 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 Adjusted Retention Time of Comp 2?

In this formula, Adjusted Retention Time of Comp 2 uses Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Rate Constant for First Order Reaction. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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