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The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process. Check FAQs
CA0=CR(1+(kIτm))(1+(k2τm))kIτm
CA0 - Initial Reactant Concentration for Multiple Rxns?CR - Intermediate Concentration for Series Rxn?kI - Rate Constant for First Step First Order Reaction?τm - Space Time for Mixed Flow Reactor?k2 - Rate Constant for Second Step First Order Reaction?

Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration Example

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Here is how the Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration equation looks like with Values.

Here is how the Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration equation looks like with Units.

Here is how the Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration equation looks like.

23.4889Edit=10Edit(1+(0.42Edit12Edit))(1+(0.08Edit12Edit))0.42Edit12Edit
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Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration Solution

Follow our step by step solution on how to calculate Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration?

FIRST Step Consider the formula
CA0=CR(1+(kIτm))(1+(k2τm))kIτm
Next Step Substitute values of Variables
CA0=10mol/m³(1+(0.42s⁻¹12s))(1+(0.08s⁻¹12s))0.42s⁻¹12s
Next Step Prepare to Evaluate
CA0=10(1+(0.4212))(1+(0.0812))0.4212
Next Step Evaluate
CA0=23.4888888888889mol/m³
LAST Step Rounding Answer
CA0=23.4889mol/m³

Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration Formula Elements

Variables
Initial Reactant Concentration for Multiple Rxns
The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process.
Symbol: CA0
Measurement: Molar ConcentrationUnit: mol/m³
Note: Value should be greater than 0.
Intermediate Concentration for Series Rxn
Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.
Symbol: CR
Measurement: Molar ConcentrationUnit: mol/m³
Note: Value should be greater than 0.
Rate Constant for First Step First Order Reaction
Rate Constant for First Step First Order Reaction is defined as the constant of proportionality for first step reaction in two steps first order irreversible reaction in series.
Symbol: kI
Measurement: First Order Reaction Rate ConstantUnit: s⁻¹
Note: Value should be greater than 0.
Space Time for Mixed Flow Reactor
Space Time for Mixed Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the mixed flow reactor.
Symbol: τm
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Rate Constant for Second Step First Order Reaction
Rate Constant for Second Step First Order Reaction is defined as the constant of proportionality for second step reaction in two steps first order irreversible reaction in series.
Symbol: k2
Measurement: First Order Reaction Rate ConstantUnit: s⁻¹
Note: Value should be greater than 0.

Other Formulas to find Initial Reactant Concentration for Multiple Rxns

​Go Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series
CA0=CR(k2-kI)kI(exp(-kIτ)-exp(-k2τ))
​Go Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration
CA0=CR,max(kIk2)k2k2-kI
​Go Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor
CA0=Ck1(1+(kIτm))
​Go Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration
CA0=CS(1+(kIτm))(1+(k2τm))kIk2(τm2)

Other formulas in Important Formulas in Potpourri of Multiple Reactions category

​Go Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series
CR=CA0(kIk2-kI)(exp(-kIτ)-exp(-k2τ))
​Go Maximum Intermediate Concentration for First Order Irreversible Reaction in Series
CR,max=CA0(kIk2)k2k2-kI
​Go Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series
τR,max=ln(k2kI)k2-kI
​Go Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor
Ck0=CA01+(kIτm)

How to Evaluate Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration?

Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration evaluator uses Initial Reactant Concentration for Multiple Rxns = (Intermediate Concentration for Series Rxn*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))*(1+(Rate Constant for Second Step First Order Reaction*Space Time for Mixed Flow Reactor)))/(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor) to evaluate the Initial Reactant Concentration for Multiple Rxns, The Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration formula is defined as the Concentration of Reactant charged to Mixed Flow Reactor for two steps First Order Irreversible Reaction, in Series. Initial Reactant Concentration for Multiple Rxns is denoted by CA0 symbol.

How to evaluate Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration using this online evaluator? To use this online evaluator for Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration, enter Intermediate Concentration for Series Rxn (CR), Rate Constant for First Step First Order Reaction (kI), Space Time for Mixed Flow Reactor m) & Rate Constant for Second Step First Order Reaction (k2) and hit the calculate button.

FAQs on Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration

What is the formula to find Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration?
The formula of Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration is expressed as Initial Reactant Concentration for Multiple Rxns = (Intermediate Concentration for Series Rxn*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))*(1+(Rate Constant for Second Step First Order Reaction*Space Time for Mixed Flow Reactor)))/(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor). Here is an example- 23.48889 = (10*(1+(0.42*12))*(1+(0.08*12)))/(0.42*12).
How to calculate Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration?
With Intermediate Concentration for Series Rxn (CR), Rate Constant for First Step First Order Reaction (kI), Space Time for Mixed Flow Reactor m) & Rate Constant for Second Step First Order Reaction (k2) we can find Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration using the formula - Initial Reactant Concentration for Multiple Rxns = (Intermediate Concentration for Series Rxn*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))*(1+(Rate Constant for Second Step First Order Reaction*Space Time for Mixed Flow Reactor)))/(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor).
What are the other ways to Calculate Initial Reactant Concentration for Multiple Rxns?
Here are the different ways to Calculate Initial Reactant Concentration for Multiple Rxns-
  • Initial Reactant Concentration for Multiple Rxns=(Intermediate Concentration for Series Rxn*(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))/(Rate Constant for First Step First Order Reaction*(exp(-Rate Constant for First Step First Order Reaction*Space Time for PFR)-exp(-Rate Constant for Second Step First Order Reaction*Space Time for PFR)))OpenImg
  • Initial Reactant Concentration for Multiple Rxns=Maximum Intermediate Concentration/(Rate Constant for First Step First Order Reaction/Rate Constant for Second Step First Order Reaction)^(Rate Constant for Second Step First Order Reaction/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))OpenImg
  • Initial Reactant Concentration for Multiple Rxns=Reactant Concentration for 1st Order Series Rxns*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))OpenImg
Can the Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration be negative?
No, the Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration, measured in Molar Concentration cannot be negative.
Which unit is used to measure Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration?
Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration 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 Rxn for MFR using Intermediate Concentration can be measured.
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