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Intermediate Concentration for First Order followed by Zero Order Reaction Formula

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Intermediate Conc. for 1st Order Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible rxn. Check FAQs

C R,1st order = C A0 \cdot (1 - \exp (- k I \cdot Δt) - (\frac{k 0 \cdot Δt}{C A0}))

C_{R,1st order} - Intermediate Conc. for 1st Order Series Rxn?C_A0 - Initial Reactant Concentration for Multiple Rxns?k_I - Rate Constant for First Step First Order Reaction?Δt - Time Interval for Multiple Reactions?k₀ - Rate Constant for Zero Order Rxn for Multiple Rxns?

Intermediate Concentration for First Order followed by Zero Order Reaction Example

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

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

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

37.8077 = 80 \cdot (1 - \exp (- 0.42 \cdot 3) - (\frac{6.5 \cdot 3}{80}))

37.8077mol/m³ = 80mol/m³ \cdot (1 - \exp (- 0.42s⁻¹ \cdot 3s) - (\frac{6.5mol/m³*s \cdot 3s}{80mol/m³}))

37.8077 = 80 \cdot (1 - \exp (- 0.42 \cdot 3) - (\frac{6.5 \cdot 3}{80}))

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Intermediate Concentration for First Order followed by Zero Order Reaction Solution

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

FIRST Step Consider the formula

C R,1st order = C A0 \cdot (1 - \exp (- k I \cdot Δt) - (\frac{k 0 \cdot Δt}{C A0}))

Next Step Substitute values of Variables

∴

C R,1st order = 80mol/m³ \cdot (1 - \exp (- 0.42s⁻¹ \cdot 3s) - (\frac{6.5mol/m³*s \cdot 3s}{80mol/m³}))

Next Step Prepare to Evaluate

∴

C R,1st order = 80 \cdot (1 - \exp (- 0.42 \cdot 3) - (\frac{6.5 \cdot 3}{80}))

Next Step Evaluate

∴

C R,1st order = 37.8076778800184mol/m³

LAST Step Rounding Answer

∴

C R,1st order = 37.8077mol/m³

Intermediate Concentration for First Order followed by Zero Order Reaction Formula Elements

Variables

Functions

Intermediate Conc. for 1st Order Series Rxn

Intermediate Conc. for 1st Order Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible rxn.

Symbol: C_{R,1st order}

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Intermediate Conc. for 1st Order Series Rxn

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 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

Time Interval for Multiple Reactions

A Time Interval for Multiple Reactions is the amount of time required for the change from initial to the final state.

Symbol: Δt

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval for Multiple Reactions

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

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(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 Intermediate Concentration for First Order followed by Zero Order Reaction?

Intermediate Concentration for First Order followed by Zero Order Reaction evaluator uses Intermediate Conc. for 1st Order Series Rxn = Initial Reactant Concentration for Multiple Rxns*(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions)-((Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions)/Initial Reactant Concentration for Multiple Rxns)) to evaluate the Intermediate Conc. for 1st Order Series Rxn, The Intermediate Concentration for First Order followed by Zero Order Reaction formula is defined as the amount of intermediate formed in a first order reaction which is followed by zero order reaction. Intermediate Conc. for 1st Order Series Rxn is denoted by C_{R,1st order} symbol.

How to evaluate Intermediate Concentration for First Order followed by Zero Order Reaction using this online evaluator? To use this online evaluator for Intermediate Concentration for First Order followed by Zero Order Reaction, enter Initial Reactant Concentration for Multiple Rxns (C_A0), Rate Constant for First Step First Order Reaction (k_I), Time Interval for Multiple Reactions (Δt) & Rate Constant for Zero Order Rxn for Multiple Rxns (k₀) and hit the calculate button.

FAQs on Intermediate Concentration for First Order followed by Zero Order Reaction

What is the formula to find Intermediate Concentration for First Order followed by Zero Order Reaction?

The formula of Intermediate Concentration for First Order followed by Zero Order Reaction is expressed as Intermediate Conc. for 1st Order Series Rxn = Initial Reactant Concentration for Multiple Rxns*(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions)-((Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions)/Initial Reactant Concentration for Multiple Rxns)). Here is an example- 37.80768 = 80*(1-exp(-0.42*3)-((6.5*3)/80)).

How to calculate Intermediate Concentration for First Order followed by Zero Order Reaction?

With Initial Reactant Concentration for Multiple Rxns (C_A0), Rate Constant for First Step First Order Reaction (k_I), Time Interval for Multiple Reactions (Δt) & Rate Constant for Zero Order Rxn for Multiple Rxns (k₀) we can find Intermediate Concentration for First Order followed by Zero Order Reaction using the formula - Intermediate Conc. for 1st Order Series Rxn = Initial Reactant Concentration for Multiple Rxns*(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions)-((Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions)/Initial Reactant Concentration for Multiple Rxns)). This formula also uses Exponential Growth (exp) function(s).

Can the Intermediate Concentration for First Order followed by Zero Order Reaction be negative?

No, the Intermediate Concentration for First Order followed by Zero Order Reaction, measured in Molar Concentration cannot be negative.

Which unit is used to measure Intermediate Concentration for First Order followed by Zero Order Reaction?

Intermediate Concentration for 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 Intermediate Concentration for First Order followed by Zero Order Reaction can be measured.

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Intermediate Concentration for First Order followed by Zero Order Reaction Formula

Intermediate Concentration for First Order followed by Zero Order Reaction Example

Intermediate Concentration for First Order followed by Zero Order Reaction Solution

Intermediate Concentration for First Order followed by Zero Order Reaction Formula Elements

Other formulas in First Order followed by Zero Order Reaction category

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

FAQs on Intermediate Concentration for First Order followed by Zero Order Reaction

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