Initial Reactant Concentration in First Order followed by Zero Order Reaction Calculator

✖The Reactant Concentration for Zero Order Series Rxn refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration for Zero Order Series Rxn [C_k0]			+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%
✖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%

✖The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration in First Order followed by Zero Order Reaction [C_A0]

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Initial Reactant Concentration in First Order followed by Zero Order Reaction

Formula

`"C"_{"A0"} = "C"_{"k0"}/exp(-"k"_{"I"}*"Δt")`

Example

`"84.61012mol/m³"="24mol/m³"/exp(-"0.42s⁻¹"*"3s")`

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Initial Reactant Concentration in First Order followed by Zero Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for Zero Order Series Rxn/exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions)
C_A0 = C_k0/exp(-k_I*Δt)
This formula uses 1 Functions, 4 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

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.
Reactant Concentration for Zero Order Series Rxn - (Measured in Mole per Cubic Meter) - The Reactant Concentration for Zero Order Series Rxn refers to the amount of reactant present in the solvent at any given point of time during the process.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Reactant Concentration for Zero Order Series Rxn: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required
Rate Constant for First Step First Order Reaction: 0.42 1 Per Second --> 0.42 1 Per Second No Conversion Required
Time Interval for Multiple Reactions: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_A0 = C_k0/exp(-k_I*Δt) --> 24/exp(-0.42*3)

Evaluating ... ...

C_A0 = 84.6101156967692

STEP 3: Convert Result to Output's Unit

84.6101156967692 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

84.6101156967692 ≈ 84.61012 Mole per Cubic Meter <-- Initial Reactant Concentration for Multiple Rxns

(Calculation completed in 00.007 seconds)

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Maximum Intermediate Concentration in First Order followed by Zero Order Reaction

Go 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)))))

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Go 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))

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

Go 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))

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

Go 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))

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

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

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Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series

Go Intermediate Concentration for Series Rxn = Initial Reactant Concentration for Multiple Rxns*(Rate Constant for First Step First Order Reaction/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))*(exp(-Rate Constant for First Step First Order Reaction*Space Time for PFR)-exp(-Rate Constant for Second Step First Order Reaction*Space Time for PFR))

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Product Concentration for First Order Reaction for Mixed Flow Reactor

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Intermediate Concentration for First Order Reaction for Mixed Flow Reactor

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Go Initial Reactant Concentration for Multiple Rxns = Maximum Intermediate Concentration/(Rate Constant for First Step First Order Reaction/Rate Constant for Second Step First Order Reaction)^(Rate Constant for Second Step First Order Reaction/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))

Maximum Intermediate Concentration for First Order Irreversible Reaction in Series

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Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series

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Go 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)

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

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Go Initial Reactant Concentration for Multiple Rxns = Maximum Intermediate Concentration*((((Rate Constant for Second Step First Order Reaction/Rate Constant for First Step First Order Reaction)^(1/2))+1)^2)

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Go Maximum Intermediate Concentration = Initial Reactant Concentration for Multiple Rxns/((((Rate Constant for Second Step First Order Reaction/Rate Constant for First Step First Order Reaction)^(1/2))+1)^2)

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Rate Constant for First Step First Order Reaction for MFR at Maximum Intermediate Concentration

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Initial Reactant Concentration in First Order followed by Zero 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 Initial Reactant Concentration in First Order followed by Zero Order Reaction?

Initial Reactant Concentration in First Order followed by Zero Order Reaction calculator uses Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for Zero Order Series Rxn/exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions) to calculate the Initial Reactant Concentration for Multiple Rxns, The Initial Reactant Concentration in First Order followed by Zero Order Reaction formula is defined as the amount of reactant present initially for a multi-step reaction which is first order reaction followed by zero order reaction. Initial Reactant Concentration for Multiple Rxns is denoted by C_A0 symbol.

How to calculate Initial Reactant Concentration in First Order followed by Zero Order Reaction using this online calculator? To use this online calculator for Initial Reactant Concentration in First Order followed by Zero Order Reaction, enter Reactant Concentration for Zero Order Series Rxn (C_k0), Rate Constant for First Step First Order Reaction (k_I) & Time Interval for Multiple Reactions (Δt) and hit the calculate button. Here is how the Initial Reactant Concentration in First Order followed by Zero Order Reaction calculation can be explained with given input values -> 84.61012 = 24/exp(-0.42*3).

FAQ

What is Initial Reactant Concentration in First Order followed by Zero Order Reaction?

The Initial Reactant Concentration in First Order followed by Zero Order Reaction formula is defined as the amount of reactant present initially for a multi-step reaction which is first order reaction followed by zero order reaction and is represented as C_A0 = C_k0/exp(-k_I*Δt) or Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for Zero Order Series Rxn/exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions). The Reactant Concentration for Zero Order Series Rxn refers to the amount of reactant present in the solvent at any given point of time during the process, 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 & A Time Interval for Multiple Reactions is the amount of time required for the change from initial to the final state.

How to calculate Initial Reactant Concentration in First Order followed by Zero Order Reaction?

The Initial Reactant Concentration in First Order followed by Zero Order Reaction formula is defined as the amount of reactant present initially for a multi-step reaction which is first order reaction followed by zero order reaction is calculated using Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for Zero Order Series Rxn/exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions). To calculate Initial Reactant Concentration in First Order followed by Zero Order Reaction, you need Reactant Concentration for Zero Order Series Rxn (C_k0), Rate Constant for First Step First Order Reaction (k_I) & Time Interval for Multiple Reactions (Δt). With our tool, you need to enter the respective value for Reactant Concentration for Zero Order Series Rxn, Rate Constant for First Step First Order Reaction & Time Interval for Multiple Reactions 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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