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

✖The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration for Multiple Rxns [C_A0]			+10% -10%
✖A Time Interval for Multiple Reactions is the amount of time required for the change from initial to the final state.ⓘ Time Interval for Multiple Reactions [Δt]			+10% -10%
✖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.ⓘ Rate Constant for First Step First Order Reaction [k_I]			+10% -10%
✖Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.ⓘ Intermediate Concentration for Series Rxn [C_R]			+10% -10%

✖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.ⓘ Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction [k_0,k1]

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Formula

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

Formula

`"k"_{"0,k1"} = ("C"_{"A0"}/"Δt")*(1-exp((-"k"_{"I"})*"Δt")-("C"_{"R"}/"C"_{"A0"}))`

Example

`"15.76923mol/m³*s"=("80mol/m³"/"3s")*(1-exp((-"0.42s⁻¹")*"3s")-("10mol/m³"/"80mol/m³"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
k_0,k1 = (C_A0/Δt)*(1-exp((-k_I)*Δt)-(C_R/C_A0))
This formula uses 1 Functions, 5 Variables

Functions Used

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

Variables Used

Rate Constant for Zero Order Rxn using k1 - (Measured in Mole per Cubic Meter Second) - 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.
Initial Reactant Concentration for Multiple Rxns - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process.
Time Interval for Multiple Reactions - (Measured in Second) - A Time Interval for Multiple Reactions is the amount of time required for the change from initial to the final state.
Rate Constant for First Step First Order Reaction - (Measured in 1 Per Second) - 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.
Intermediate Concentration for Series Rxn - (Measured in Mole per Cubic Meter) - Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.

STEP 1: Convert Input(s) to Base Unit

Initial Reactant Concentration for Multiple Rxns: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Time Interval for Multiple Reactions: 3 Second --> 3 Second No Conversion Required
Rate Constant for First Step First Order Reaction: 0.42 1 Per Second --> 0.42 1 Per Second No Conversion Required
Intermediate Concentration for Series Rxn: 10 Mole per Cubic Meter --> 10 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_0,k1 = (C_A0/Δt)*(1-exp((-k_I)*Δt)-(C_R/C_A0)) --> (80/3)*(1-exp((-0.42)*3)-(10/80))

Evaluating ... ...

k_0,k1 = 15.7692259600061

STEP 3: Convert Result to Output's Unit

15.7692259600061 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

15.7692259600061 ≈ 15.76923 Mole per Cubic Meter Second <-- Rate Constant for Zero Order Rxn using k1

(Calculation completed in 00.004 seconds)

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

What is Multi-step Reaction?

A multi-step reaction is a combination of two or more elementary steps. An elementary step is a single, simple step involving one or two particles. The rate-determining step is the slowest step in a multi-step reaction, and the overall reaction rate will be exactly the same as the rate of the slowest step.

What are first order and zero order reactions?

A first-order reaction can be defined as a chemical reaction in which the reaction rate is linearly dependent on the concentration of only one reactant. In other words, a first-order reaction is a chemical reaction in which the rate varies based on the changes in the concentration of only one of the reactants.
Zero-order reaction is a chemical reaction wherein the rate does not vary with the increase or decrease in the concentration of the reactants.

How to Calculate 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 calculator 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 calculate 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 calculate Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction using this online calculator? To use this online calculator 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. Here is how the Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction calculation can be explained with given input values -> 15.76923 = (80/3)*(1-exp((-0.42)*3)-(10/80)).

FAQ

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

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 and is represented as k_0,k1 = (C_A0/Δt)*(1-exp((-k_I)*Δt)-(C_R/C_A0)) or 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)). The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process, A Time Interval for Multiple Reactions is the amount of time required for the change from initial to the final state, 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 & Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.

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

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 is calculated using 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 calculate Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction, you need 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). With our tool, you need to enter the respective value for Initial Reactant Concentration for Multiple Rxns, Time Interval for Multiple Reactions, Rate Constant for First Step First Order Reaction & Intermediate Concentration for Series Rxn and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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