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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

C R,max = C A0 \cdot (1 - (\frac{k 0}{C A0 \cdot k I} \cdot (1 - \ln (\frac{k 0}{C A0 \cdot k I}))))

C_R,max - Maximum Intermediate Concentration?C_A0 - Initial Reactant Concentration for Multiple Rxns?k₀ - Rate Constant for Zero Order Rxn for Multiple Rxns?k_I - 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.

39.1007 = 80 \cdot (1 - (\frac{6.5}{80 \cdot 0.42} \cdot (1 - \ln (\frac{6.5}{80 \cdot 0.42}))))

39.1007mol/m³ = 80mol/m³ \cdot (1 - (\frac{6.5mol/m³*s}{80mol/m³ \cdot 0.42s⁻¹} \cdot (1 - \ln (\frac{6.5mol/m³*s}{80mol/m³ \cdot 0.42s⁻¹}))))

39.1007 = 80 \cdot (1 - (\frac{6.5}{80 \cdot 0.42} \cdot (1 - \ln (\frac{6.5}{80 \cdot 0.42}))))

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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

C R,max = C A0 \cdot (1 - (\frac{k 0}{C A0 \cdot k I} \cdot (1 - \ln (\frac{k 0}{C A0 \cdot k I}))))

Next Step Substitute values of Variables

∴

C R,max = 80mol/m³ \cdot (1 - (\frac{6.5mol/m³*s}{80mol/m³ \cdot 0.42s⁻¹} \cdot (1 - \ln (\frac{6.5mol/m³*s}{80mol/m³ \cdot 0.42s⁻¹}))))

Next Step Prepare to Evaluate

∴

C R,max = 80 \cdot (1 - (\frac{6.5}{80 \cdot 0.42} \cdot (1 - \ln (\frac{6.5}{80 \cdot 0.42}))))

Next Step Evaluate

∴

C R,max = 39.1007017013353mol/m³

LAST Step Rounding Answer

∴

C R,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: C_R,max

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Maximum Intermediate Concentration

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: C_A0

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Concentration for Multiple Rxns

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.

Formulas to find Rate Constant for Zero Order Rxn for Multiple Rxns

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: k_I

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant for First Step First Order Reaction

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

C A0 = \frac{C R,max}{{(\frac{k I}{k 2})}^{\frac{k 2}{k 2 - k I}}}

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

C A0 = \frac{C R \cdot (1 + (k I \cdot τ m)) \cdot (1 + (k 2 \cdot τ m))}{k I \cdot τ m}

Go Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration

C A0 = \frac{C S \cdot (1 + (k I \cdot τ m)) \cdot (1 + (k 2 \cdot τ m))}{k I \cdot k 2 \cdot ({τ m}^{2})}

Go Initial Reactant Concentration for First Order Rxn in MFR at Maximum Intermediate Concentration

C A0 = C R,max \cdot ({(({(\frac{k 2}{k I})}^{\frac{1}{2}}) + 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 C_R,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 (C_A0), Rate Constant for Zero Order Rxn for Multiple Rxns (k₀) & Rate Constant for First Step First Order Reaction (k_I) 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 (C_A0), Rate Constant for Zero Order Rxn for Multiple Rxns (k₀) & Rate Constant for First Step First Order Reaction (k_I) 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 (ln) 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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Maximum Intermediate Concentration in First Order followed by Zero Order Reaction Formula

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

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

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

Other formulas in First Order followed by Zero Order Reaction category

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

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

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