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Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction Formula

GoRate Constant for First Order Reaction in First Order followed by Zero Order Reaction Formula

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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. Check FAQs

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

k_I - Rate Constant for First Step First Order Reaction?Δt - Time Interval for Multiple Reactions?C_A0 - Initial Reactant Concentration for Multiple Rxns?k₀ - Rate Constant for Zero Order Rxn for Multiple Rxns?C_R - Intermediate Concentration for Series Rxn?

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction Example

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Here is how the Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction equation looks like with Values.

Here is how the Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction equation looks like with Units.

Here is how the Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction equation looks like.

0.1534 = (\frac{1}{3}) \cdot \ln (\frac{80}{80 - (6.5 \cdot 3) - 10})

0.1534s⁻¹ = (\frac{1}{3s}) \cdot \ln (\frac{80mol/m³}{80mol/m³ - (6.5mol/m³*s \cdot 3s) - 10mol/m³})

0.1534 = (\frac{1}{3}) \cdot \ln (\frac{80}{80 - (6.5 \cdot 3) - 10})

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Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction Solution

Follow our step by step solution on how to calculate Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k I = (\frac{1}{3s}) \cdot \ln (\frac{80mol/m³}{80mol/m³ - (6.5mol/m³*s \cdot 3s) - 10mol/m³})

Next Step Prepare to Evaluate

∴

k I = (\frac{1}{3}) \cdot \ln (\frac{80}{80 - (6.5 \cdot 3) - 10})

Next Step Evaluate

∴

k I = 0.153351099464189s⁻¹

LAST Step Rounding Answer

∴

k I = 0.1534s⁻¹

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction Formula Elements

Variables

Functions

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

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

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: C_R

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Intermediate Concentration for Series Rxn

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 to find Rate Constant for First Step First Order Reaction

Go Rate Constant for First Order Reaction in First Order followed by Zero Order Reaction

k I = (\frac{1}{Δt}) \cdot \ln (\frac{C A0}{C k0})

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 Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction?

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction evaluator uses Rate Constant for First Step First Order Reaction = (1/Time Interval for Multiple Reactions)*ln(Initial Reactant Concentration for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns-(Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions)-Intermediate Concentration for Series Rxn)) to evaluate the Rate Constant for First Step First Order Reaction, The Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction formula is defined as the the proportionality constant of a reaction which is first order but is followed by zero order reaction using rate constant for zero order reaction. Rate Constant for First Step First Order Reaction is denoted by k_I symbol.

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

FAQs on Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction

What is the formula to find Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction?

The formula of Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction is expressed as Rate Constant for First Step First Order Reaction = (1/Time Interval for Multiple Reactions)*ln(Initial Reactant Concentration for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns-(Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions)-Intermediate Concentration for Series Rxn)). Here is an example- 0.153351 = (1/3)*ln(80/(80-(6.5*3)-10)).

How to calculate Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction?

With Time Interval for Multiple Reactions (Δt), Initial Reactant Concentration for Multiple Rxns (C_A0), Rate Constant for Zero Order Rxn for Multiple Rxns (k₀) & Intermediate Concentration for Series Rxn (C_R) we can find Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction using the formula - Rate Constant for First Step First Order Reaction = (1/Time Interval for Multiple Reactions)*ln(Initial Reactant Concentration for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns-(Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions)-Intermediate Concentration for Series Rxn)). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Rate Constant for First Step First Order Reaction?

Here are the different ways to Calculate Rate Constant for First Step First Order Reaction-

Rate Constant for First Step First Order Reaction=(1/Time Interval for Multiple Reactions)*ln(Initial Reactant Concentration for Multiple Rxns/Reactant Concentration for Zero Order Series Rxn)

Can the Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction be negative?

No, the Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction, measured in First Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction?

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction can be measured.

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Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction Formula

​GoRate Constant for First Order Reaction in First Order followed by Zero Order Reaction Formula

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction Example

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction Solution

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction Formula Elements

Other Formulas to find Rate Constant for First Step First Order Reaction

Other formulas in First Order followed by Zero Order Reaction category

How to Evaluate Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction?

FAQs on Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction

Variable Name

GoRate Constant for First Order Reaction in First Order followed by Zero Order Reaction Formula