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

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The Rate Constant for Zero Order Rxn using k1 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. Check FAQs

k 0,k1 = (\frac{C A0}{Δt}) \cdot (1 - \exp ((- k I) \cdot Δt) - (\frac{C R}{C A0}))

k_0,k1 - Rate Constant for Zero Order Rxn using k1?C_A0 - Initial Reactant Concentration for Multiple Rxns?Δt - Time Interval for Multiple Reactions?k_I - Rate Constant for First Step First Order Reaction?C_R - Intermediate Concentration for Series Rxn?

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

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

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

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

15.7692 = (\frac{80}{3}) \cdot (1 - \exp ((- 0.42) \cdot 3) - (\frac{10}{80}))

15.7692mol/m³*s = (\frac{80mol/m³}{3s}) \cdot (1 - \exp ((- 0.42s⁻¹) \cdot 3s) - (\frac{10mol/m³}{80mol/m³}))

15.7692 = (\frac{80}{3}) \cdot (1 - \exp ((- 0.42) \cdot 3) - (\frac{10}{80}))

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

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

FIRST Step Consider the formula

k 0,k1 = (\frac{C A0}{Δt}) \cdot (1 - \exp ((- k I) \cdot Δt) - (\frac{C R}{C A0}))

Next Step Substitute values of Variables

∴

k 0,k1 = (\frac{80mol/m³}{3s}) \cdot (1 - \exp ((- 0.42s⁻¹) \cdot 3s) - (\frac{10mol/m³}{80mol/m³}))

Next Step Prepare to Evaluate

∴

k 0,k1 = (\frac{80}{3}) \cdot (1 - \exp ((- 0.42) \cdot 3) - (\frac{10}{80}))

Next Step Evaluate

∴

k 0,k1 = 15.7692259600061mol/m³*s

LAST Step Rounding Answer

∴

k 0,k1 = 15.7692mol/m³*s

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

Variables

Functions

Rate Constant for Zero Order Rxn using k1

The Rate Constant for Zero Order Rxn using k1 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: k_0,k1

Measurement: Reaction RateUnit: mol/m³*s

Note: Value should be greater than 0.

Formulas to find Rate Constant for Zero Order Rxn using k1

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

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 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

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

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

Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction evaluator uses Rate Constant for Zero Order Rxn using k1 = (Initial Reactant Concentration for Multiple Rxns/Time Interval for Multiple Reactions)*(1-exp((-Rate Constant for First Step First Order Reaction)*Time Interval for Multiple Reactions)-(Intermediate Concentration for Series Rxn/Initial Reactant Concentration for Multiple Rxns)) to evaluate the Rate Constant for Zero Order Rxn using k1, The Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction formula is defined as the proportionality constant for zero order reaction which follows first order reaction using rate constant for first order reaction. Rate Constant for Zero Order Rxn using k1 is denoted by k_0,k1 symbol.

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

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

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

The formula of Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction is expressed as Rate Constant for Zero Order Rxn using k1 = (Initial Reactant Concentration for Multiple Rxns/Time Interval for Multiple Reactions)*(1-exp((-Rate Constant for First Step First Order Reaction)*Time Interval for Multiple Reactions)-(Intermediate Concentration for Series Rxn/Initial Reactant Concentration for Multiple Rxns)). Here is an example- 15.76923 = (80/3)*(1-exp((-0.42)*3)-(10/80)).

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

With Initial Reactant Concentration for Multiple Rxns (C_A0), Time Interval for Multiple Reactions (Δt), Rate Constant for First Step First Order Reaction (k_I) & Intermediate Concentration for Series Rxn (C_R) we can find Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction using the formula - Rate Constant for Zero Order Rxn using k1 = (Initial Reactant Concentration for Multiple Rxns/Time Interval for Multiple Reactions)*(1-exp((-Rate Constant for First Step First Order Reaction)*Time Interval for Multiple Reactions)-(Intermediate Concentration for Series Rxn/Initial Reactant Concentration for Multiple Rxns)). This formula also uses Exponential Growth (exp) function(s).

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

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

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

Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction is usually measured using the Mole per Cubic Meter Second[mol/m³*s] for Reaction Rate. Mole per Liter Second[mol/m³*s], Millimole per Liter Second[mol/m³*s] are the few other units in which Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction can be measured.

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

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

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

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

Other formulas in First Order followed by Zero Order Reaction category

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

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

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