Initial Reactant Concentration for First Order Reaction using Molar Feed Rate Calculator

✖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%
✖The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time.ⓘ Molar Feed Rate [F₀]			+10% -10%
✖Volume of Vessel i gives the capacity of reactor vessel i.ⓘ Volume of Vessel i [V_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 Molar Feed Rate [C_o]

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Initial Reactant Concentration for First Order Reaction using Molar Feed Rate

Formula

`"C"_{"o"} = ("𝛕"_{"i"}*"F"_{"0"})/"V"_{"i"}`

Example

`"75mol/m³"=("45s"*"5mol/s")/"3m³"`

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Initial Reactant Concentration for First Order Reaction using Molar Feed Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i
C_o = (𝛕_i*F₀)/V_i
This formula uses 4 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.
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.
Molar Feed Rate - (Measured in Mole per Second) - The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time.
Volume of Vessel i - (Measured in Cubic Meter) - Volume of Vessel i gives the capacity of reactor vessel i.

STEP 1: Convert Input(s) to Base Unit

Space Time for Vessel i: 45 Second --> 45 Second No Conversion Required
Molar Feed Rate: 5 Mole per Second --> 5 Mole per Second No Conversion Required
Volume of Vessel i: 3 Cubic Meter --> 3 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_o = (𝛕_i*F₀)/V_i --> (45*5)/3

Evaluating ... ...

C_o = 75

STEP 3: Convert Result to Output's Unit

75 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

75 Mole per Cubic Meter <-- Initial Reactant Concentration

(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

Initial Reactant Concentration for First Order Reaction using Molar Feed Rate Formula

Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i
C_o = (𝛕_i*F₀)/V_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 Molar Feed Rate?

Initial Reactant Concentration for First Order Reaction using Molar Feed Rate calculator uses Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i to calculate the Initial Reactant Concentration, The Initial Reactant Concentration for First Order Reaction using Molar Feed 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 Molar Feed Rate using this online calculator? To use this online calculator for Initial Reactant Concentration for First Order Reaction using Molar Feed Rate, enter Space Time for Vessel i (𝛕_i), Molar Feed Rate (F₀) & Volume of Vessel i (V_i) and hit the calculate button. Here is how the Initial Reactant Concentration for First Order Reaction using Molar Feed Rate calculation can be explained with given input values -> 75 = (45*5)/3.

FAQ

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

The Initial Reactant Concentration for First Order Reaction using Molar Feed Rate formula is defined as the concentration of reactant before the first order reaction and is represented as C_o = (𝛕_i*F₀)/V_i or Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of 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, The Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time & Volume of Vessel i gives the capacity of reactor vessel i.

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

The Initial Reactant Concentration for First Order Reaction using Molar Feed Rate formula is defined as the concentration of reactant before the first order reaction is calculated using Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i. To calculate Initial Reactant Concentration for First Order Reaction using Molar Feed Rate, you need Space Time for Vessel i (𝛕_i), Molar Feed Rate (F₀) & Volume of Vessel i (V_i). With our tool, you need to enter the respective value for Space Time for Vessel i, Molar Feed Rate & Volume 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 Space Time for Vessel i, Molar Feed Rate & Volume of Vessel i. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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