Initial Reactant Concentration for First Order Reaction using Reaction Rate Calculator

✖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.ⓘ Adjusted Retention Time of Comp 2 [trC2^']			+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 [r_i]			+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%

✖The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration for First Order Reaction using Reaction Rate [C_o]

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Formula

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Initial Reactant Concentration for First Order Reaction using Reaction Rate

Formula

C o = \frac{trC2' \cdot r i}{X i-1 - X i}

Example

76.5 mol/m³ = \frac{45 s \cdot 0.17 mol/m³*s}{0.8 - 0.7}

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Initial Reactant Concentration for First Order Reaction using Reaction Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
C_o = (trC2^'*r_i)/(X_i-1-X_i)
This formula uses 5 Variables

Variables Used

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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Adjusted Retention Time of Comp 2: 45 Second --> 45 Second 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
Reactant Conversion of Vessel i-1: 0.8 --> No Conversion Required
Reactant Conversion of Vessel i: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_o = (trC2^'*r_i)/(X_i-1-X_i) --> (45*0.17)/(0.8-0.7)

Evaluating ... ...

C_o = 76.4999999999999

STEP 3: Convert Result to Output's Unit

76.4999999999999 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

76.4999999999999 ≈ 76.5 Mole per Cubic Meter <-- Initial Reactant Concentration

(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

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

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

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

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

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)

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))

Initial Reactant Concentration for First Order Reaction using Reaction Rate Formula

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)
C_o = (trC2^'*r_i)/(X_i-1-X_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 Initial Reactant Concentration for First Order Reaction using Reaction Rate?

Initial Reactant Concentration for First Order Reaction using Reaction Rate calculator uses 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) to calculate the Initial Reactant Concentration, The Initial Reactant Concentration for First Order Reaction using Reaction Rate formula is defined as the concentration of reactant before the first order reaction. Initial Reactant Concentration is denoted by C_o symbol.

How to calculate Initial Reactant Concentration for First Order Reaction using Reaction Rate using this online calculator? To use this online calculator for Initial Reactant Concentration for First Order Reaction using Reaction Rate, enter Adjusted Retention Time of Comp 2 (trC2^'), Reaction Rate for Vessel i (r_i), Reactant Conversion of Vessel i-1 (X_i-1) & Reactant Conversion of Vessel i (X_i) and hit the calculate button. Here is how the Initial Reactant Concentration for First Order Reaction using Reaction Rate calculation can be explained with given input values -> 76.5 = (45*0.17)/(0.8-0.7).

FAQ

What is Initial Reactant Concentration for First Order Reaction using Reaction Rate?

The Initial Reactant Concentration for First Order Reaction using Reaction Rate formula is defined as the concentration of reactant before the first order reaction and is represented as C_o = (trC2^'*r_i)/(X_i-1-X_i) or 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). 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, Reaction Rate for Vessel i is the rate at which a reaction occurs to achieve the desire product, 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.

How to calculate Initial Reactant Concentration for First Order Reaction using Reaction Rate?

The Initial Reactant Concentration for First Order Reaction using Reaction Rate formula is defined as the concentration of reactant before the first order reaction is calculated using 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). To calculate Initial Reactant Concentration for First Order Reaction using Reaction Rate, you need Adjusted Retention Time of Comp 2 (trC2^'), Reaction Rate for Vessel i (r_i), Reactant Conversion of Vessel i-1 (X_i-1) & Reactant Conversion of Vessel i (X_i). With our tool, you need to enter the respective value for Adjusted Retention Time of Comp 2, Reaction Rate for Vessel i, Reactant Conversion of Vessel i-1 & Reactant Conversion of 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 Initial Reactant Concentration?

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

Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i
Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))
Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))

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