Maximum Intermediate Concentration in First Order followed by Zero Order Reaction Formula

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Maximum Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction. Check FAQs
CR,max=CA0(1-(k0CA0kI(1-ln(k0CA0kI))))
CR,max - Maximum Intermediate Concentration?CA0 - Initial Reactant Concentration for Multiple Rxns?k0 - Rate Constant for Zero Order Rxn for Multiple Rxns?kI - Rate Constant for First Step First Order Reaction?

Maximum Intermediate Concentration in First Order followed by Zero Order Reaction Example

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Here is how the Maximum Intermediate Concentration in First Order followed by Zero Order Reaction equation looks like with Values.

Here is how the Maximum Intermediate Concentration in First Order followed by Zero Order Reaction equation looks like with Units.

Here is how the Maximum Intermediate Concentration in First Order followed by Zero Order Reaction equation looks like.

39.1007Edit=80Edit(1-(6.5Edit80Edit0.42Edit(1-ln(6.5Edit80Edit0.42Edit))))
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Maximum Intermediate Concentration in First Order followed by Zero Order Reaction Solution

Follow our step by step solution on how to calculate Maximum Intermediate Concentration in First Order followed by Zero Order Reaction?

FIRST Step Consider the formula
CR,max=CA0(1-(k0CA0kI(1-ln(k0CA0kI))))
Next Step Substitute values of Variables
CR,max=80mol/m³(1-(6.5mol/m³*s80mol/m³0.42s⁻¹(1-ln(6.5mol/m³*s80mol/m³0.42s⁻¹))))
Next Step Prepare to Evaluate
CR,max=80(1-(6.5800.42(1-ln(6.5800.42))))
Next Step Evaluate
CR,max=39.1007017013353mol/m³
LAST Step Rounding Answer
CR,max=39.1007mol/m³

Maximum Intermediate Concentration in First Order followed by Zero Order Reaction Formula Elements

Variables
Functions
Maximum Intermediate Concentration
Maximum Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.
Symbol: CR,max
Measurement: Molar ConcentrationUnit: mol/m³
Note: Value should be greater than 0.
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.
Rate Constant for Zero Order Rxn for Multiple Rxns
The Rate Constant for Zero Order Rxn for Multiple Rxns is equal to the rate of the reaction because in this case the rate of reaction is proportional to zero power of the conc of the reactant.
Symbol: k0
Measurement: Reaction RateUnit: mol/m³*s
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.
ln
The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.
Syntax: ln(Number)

Other formulas in First Order followed by Zero Order Reaction category

​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 First Order Rxn for MFR using Intermediate Concentration
CA0=CR(1+(kIτm))(1+(k2τm))kIτm
​Go Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration
CA0=CS(1+(kIτm))(1+(k2τm))kIk2(τm2)
​Go Initial Reactant Concentration for First Order Rxn in MFR at Maximum Intermediate Concentration
CA0=CR,max((((k2kI)12)+1)2)

How to Evaluate Maximum Intermediate Concentration in First Order followed by Zero Order Reaction?

Maximum Intermediate Concentration in First Order followed by Zero Order Reaction evaluator uses Maximum Intermediate Concentration = Initial Reactant Concentration for Multiple Rxns*(1-(Rate Constant for Zero Order Rxn for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Rxn for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction))))) to evaluate the Maximum Intermediate Concentration, The Maximum Intermediate Concentration in First Order followed by Zero Order Reaction formula is defined as the maximum amount of intermediate that can be formed in a first order reaction followed by zero order reaction. Maximum Intermediate Concentration is denoted by CR,max symbol.

How to evaluate Maximum Intermediate Concentration in First Order followed by Zero Order Reaction using this online evaluator? To use this online evaluator for Maximum Intermediate Concentration in First Order followed by Zero Order Reaction, enter Initial Reactant Concentration for Multiple Rxns (CA0), Rate Constant for Zero Order Rxn for Multiple Rxns (k0) & Rate Constant for First Step First Order Reaction (kI) and hit the calculate button.

FAQs on Maximum Intermediate Concentration in First Order followed by Zero Order Reaction

What is the formula to find Maximum Intermediate Concentration in First Order followed by Zero Order Reaction?
The formula of Maximum Intermediate Concentration in First Order followed by Zero Order Reaction is expressed as Maximum Intermediate Concentration = Initial Reactant Concentration for Multiple Rxns*(1-(Rate Constant for Zero Order Rxn for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Rxn for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction))))). Here is an example- 39.1007 = 80*(1-(6.5/(80*0.42)*(1-ln(6.5/(80*0.42))))).
How to calculate Maximum Intermediate Concentration in First Order followed by Zero Order Reaction?
With Initial Reactant Concentration for Multiple Rxns (CA0), Rate Constant for Zero Order Rxn for Multiple Rxns (k0) & Rate Constant for First Step First Order Reaction (kI) we can find Maximum Intermediate Concentration in First Order followed by Zero Order Reaction using the formula - Maximum Intermediate Concentration = Initial Reactant Concentration for Multiple Rxns*(1-(Rate Constant for Zero Order Rxn for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Rxn for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction))))). This formula also uses Natural Logarithm Function function(s).
Can the Maximum Intermediate Concentration in First Order followed by Zero Order Reaction be negative?
No, the Maximum Intermediate Concentration in First Order followed by Zero Order Reaction, measured in Molar Concentration cannot be negative.
Which unit is used to measure Maximum Intermediate Concentration in First Order followed by Zero Order Reaction?
Maximum Intermediate Concentration in First Order followed by Zero Order Reaction 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 Maximum Intermediate Concentration in First Order followed by Zero Order Reaction can be measured.
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