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)
Co = (trC2'*ri)/(Xi-1-Xi)
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
Co = (trC2'*ri)/(Xi-1-Xi) --> (45*0.17)/(0.8-0.7)
Evaluating ... ...
Co = 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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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

25 Important Formulas in Design of Reactors & Recycle Reactors for Single Reactions Calculators

Rate Constant for Second Order Reaction using Recycle Ratio
Go Rate Constant for Second Order Reaction = ((Recycle Ratio+1)*Initial Reactant Concentration*(Initial Reactant Concentration-Final Reactant Concentration))/(Initial Reactant Concentration*Space Time*Final Reactant Concentration*(Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration)))
Space Time for Second Order Reaction using Recycle Ratio
Go Space Time = ((Recycle Ratio+1)*Initial Reactant Concentration*(Initial Reactant Concentration-Final Reactant Concentration))/(Initial Reactant Concentration*Rate Constant for Second Order Reaction*Final Reactant Concentration*(Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration)))
Rate Constant for First Order Reaction using Recycle Ratio
Go Rate Constant for First Order Reaction = ((Recycle Ratio+1)/Space Time)*ln((Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration))/((Recycle Ratio+1)*Final Reactant Concentration))
Space Time for First Order Reaction using Recycle Ratio
Go Space Time = ((Recycle Ratio+1)/Rate Constant for First Order Reaction)*ln((Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration))/((Recycle Ratio+1)*Final Reactant Concentration))
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)
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
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
Total Feed Reactant Conversion
Go Total Feed Reactant Conversion = (Recycle Ratio/(Recycle Ratio+1))*Final Reactant Conversion
Final Reactant Conversion
Go Final Reactant Conversion = ((Recycle Ratio+1)/Recycle Ratio)*Total Feed Reactant Conversion
Recycle Ratio using Reactant Conversion
Go Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)
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
Recycle Ratio using Total Feed Rate
Go Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1
Recycle Ratio
Go Recycle Ratio = Volume Returned/Volume Discharged

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)
Co = (trC2'*ri)/(Xi-1-Xi)

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 Co 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 (ri), Reactant Conversion of Vessel i-1 (Xi-1) & Reactant Conversion of Vessel i (Xi) 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 Co = (trC2'*ri)/(Xi-1-Xi) 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 (ri), Reactant Conversion of Vessel i-1 (Xi-1) & Reactant Conversion of Vessel i (Xi). 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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