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The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process. Check FAQs
Co=trC2'riXi-1-Xi
Co - Initial Reactant Concentration?trC2' - Adjusted Retention Time of Comp 2?ri - Reaction Rate for Vessel i?Xi-1 - Reactant Conversion of Vessel i-1?Xi - Reactant Conversion of Vessel i?

Initial Reactant Concentration for First Order Reaction using Reaction Rate Example

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Here is how the Initial Reactant Concentration for First Order Reaction using Reaction Rate equation looks like with Values.

Here is how the Initial Reactant Concentration for First Order Reaction using Reaction Rate equation looks like with Units.

Here is how the Initial Reactant Concentration for First Order Reaction using Reaction Rate equation looks like.

76.5Edit=45Edit0.17Edit0.8Edit-0.7Edit
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Initial Reactant Concentration for First Order Reaction using Reaction Rate Solution

Follow our step by step solution on how to calculate Initial Reactant Concentration for First Order Reaction using Reaction Rate?

FIRST Step Consider the formula
Co=trC2'riXi-1-Xi
Next Step Substitute values of Variables
Co=45s0.17mol/m³*s0.8-0.7
Next Step Prepare to Evaluate
Co=450.170.8-0.7
Next Step Evaluate
Co=76.4999999999999mol/m³
LAST Step Rounding Answer
Co=76.5mol/m³

Initial Reactant Concentration for First Order Reaction using Reaction Rate Formula Elements

Variables
Initial Reactant Concentration
The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.
Symbol: Co
Measurement: Molar ConcentrationUnit: mol/m³
Note: Value should be greater than 0.
Adjusted Retention Time of Comp 2
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.
Symbol: trC2'
Measurement: TimeUnit: s
Note: Value can be positive or negative.
Reaction Rate for Vessel i
Reaction Rate for Vessel i is the rate at which a reaction occurs to achieve the desire product.
Symbol: ri
Measurement: Reaction RateUnit: mol/m³*s
Note: Value can be positive or negative.
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.
Symbol: Xi-1
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Reactant Conversion of Vessel i
Reactant Conversion of Vessel i gives us the percentage of reactants converted into products in vessel i.
Symbol: Xi
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other Formulas to find Initial Reactant Concentration

​Go Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors
Co=1(1C)-(k''𝛕p)

Other formulas in Design for Single Reactions category

​Go Initial Reactant Concentration for First Order Reaction in Vessel i
C i-1=Ci(1+(k'trC2'))
​Go Reactant Concentration for First Order Reaction in Vessel i
Ci=C i-11+(k'trC2')
​Go Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors
C=Co1+(Cok''𝛕p)
​Go Reaction Rate for Vessel i for Mixed Flow Reactors of Different Sizes in Series
ri=C i-1-CitrC2'

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

Initial Reactant Concentration for First Order Reaction using Reaction Rate evaluator 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 evaluate 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 evaluate Initial Reactant Concentration for First Order Reaction using Reaction Rate using this online evaluator? To use this online evaluator 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.

FAQs on Initial Reactant Concentration for First Order Reaction using Reaction Rate

What is the formula to find Initial Reactant Concentration for First Order Reaction using Reaction Rate?
The formula of Initial Reactant Concentration for First Order Reaction using Reaction Rate is expressed as 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). Here is an example- 76.5 = (45*0.17)/(0.8-0.7).
How to calculate Initial Reactant Concentration for First Order Reaction using Reaction Rate?
With 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) we can find Initial Reactant Concentration for First Order Reaction using Reaction Rate using the 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).
What are the other ways to Calculate Initial Reactant Concentration?
Here are the different ways to Calculate Initial Reactant Concentration-
  • Initial Reactant Concentration=1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))OpenImg
Can the Initial Reactant Concentration for First Order Reaction using Reaction Rate be negative?
No, the Initial Reactant Concentration for First Order Reaction using Reaction Rate, measured in Molar Concentration cannot be negative.
Which unit is used to measure Initial Reactant Concentration for First Order Reaction using Reaction Rate?
Initial Reactant Concentration for First Order Reaction using Reaction Rate is usually measured using the Mole per Cubic Meter[mol/m³] for Molar Concentration. Mole per Liter[mol/m³], Mole per Cubic Millimeter[mol/m³], Kilomole per Cubic Meter[mol/m³] are the few other units in which Initial Reactant Concentration for First Order Reaction using Reaction Rate can be measured.
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