Maximum Intermediate Concentration in First Order followed by Zero Order Reaction Calculator

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✖The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration [C_o]			+10% -10%
✖The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.ⓘ Rate Constant for Zero Order Reaction [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 [k₁]			+10% -10%

✖Maximum Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.ⓘ Maximum Intermediate Concentration in First Order followed by Zero Order Reaction [C_R,max]

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Maximum Intermediate Concentration in First Order followed by Zero Order Reaction

Formula

`"C"_{"R,"max""} = "C"_{"o"}*(1-("k"_{"0"}/("C"_{"o"}*"k"_{"1"})*(1-ln("k"_{"0"}/("C"_{"o"}*"k"_{"1"})))))`

Example

`"39.1007mol/m³"="80mol/m³"*(1-("6.5mol/m³*s"/("80mol/m³"*"0.42s⁻¹")*(1-ln("6.5mol/m³*s"/("80mol/m³"*"0.42s⁻¹")))))`

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Maximum Intermediate Concentration in First Order followed by Zero Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Intermediate Concentration = Initial Reactant Concentration*(1-(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)))))
C_R,max = C_o*(1-(k₀/(C_o*k₁)*(1-ln(k₀/(C_o*k₁)))))
This formula uses 1 Functions, 4 Variables

Functions Used

ln - Natural logarithm function (base e), ln(Number)

Variables Used

Maximum Intermediate Concentration - (Measured in Mole per Cubic Meter) - Maximum Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.
Initial Reactant Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.
Rate Constant for Zero Order Reaction - (Measured in Mole per Cubic Meter Second) - The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.
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.

STEP 1: Convert Input(s) to Base Unit

Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Rate Constant for Zero Order Reaction: 6.5 Mole per Cubic Meter Second --> 6.5 Mole per Cubic Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_R,max = C_o*(1-(k₀/(C_o*k₁)*(1-ln(k₀/(C_o*k₁))))) --> 80*(1-(6.5/(80*0.42)*(1-ln(6.5/(80*0.42)))))

Evaluating ... ...

C_R,max = 39.1007017013353

STEP 3: Convert Result to Output's Unit

39.1007017013353 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

39.1007017013353 Mole per Cubic Meter <-- Maximum Intermediate Concentration

(Calculation completed in 00.000 seconds)

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< 10+ First Order followed by Zero Order Reaction Calculators

Maximum Intermediate Concentration in First Order followed by Zero Order Reaction

Go Maximum Intermediate Concentration = Initial Reactant Concentration*(1-(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)))))

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

Go Rate Constant for Zero Order Reaction = (Initial Reactant Concentration/Time Interval)*(1-exp((-Rate Constant for First Step First Order Reaction)*Time Interval)-(Intermediate Concentration/Initial Reactant Concentration))

Intermediate Concentration for First Order followed by Zero Order Reaction

Go Intermediate Concentration = Initial Reactant Concentration*(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval)-((Rate Constant for Zero Order Reaction*Time Interval)/Initial Reactant Concentration))

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)*ln(Initial Reactant Concentration/(Initial Reactant Concentration-(Rate Constant for Zero Order Reaction*Time Interval)-Intermediate Concentration))

Time at Max Intermediate in First Order followed by Zero Order Reaction

Go Time at Maximum Intermediate Concentration = (1/Rate Constant for First Step First Order Reaction)*ln((Rate Constant for First Step First Order Reaction*Initial Reactant Concentration)/Rate Constant for Zero Order Reaction)

Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction

Go Initial Reactant Concentration = (Intermediate Concentration+(Rate Constant for Zero Order Reaction*Time Interval))/(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval))

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

Go Rate Constant for First Step First Order Reaction = (1/Time Interval)*ln(Initial Reactant Concentration/Reactant Concentration)

Time Interval for First Order Reaction in First Order followed by Zero Order Reaction

Go Time Interval = (1/Rate Constant for First Step First Order Reaction)*ln(Initial Reactant Concentration/Reactant Concentration)

Initial Reactant Concentration in First Order followed by Zero Order Reaction

Go Initial Reactant Concentration = Reactant Concentration/exp(-Rate Constant for First Step First Order Reaction*Time Interval)

Reactant Concentration in First Order followed by Zero Order Reaction

Go Reactant Concentration = Initial Reactant Concentration*exp(-Rate Constant for First Step First Order Reaction*Time Interval)

Maximum Intermediate 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 Maximum Intermediate Concentration in First Order followed by Zero Order Reaction?

Maximum Intermediate Concentration in First Order followed by Zero Order Reaction calculator uses Maximum Intermediate Concentration = Initial Reactant Concentration*(1-(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction))))) to calculate the Maximum Intermediate Concentration, The Maximum Intermediate Concentration in First Order followed by Zero Order Reaction formula is defined as the maximum amount of intermediate that can be formed in a first order reaction followed by zero order reaction. Maximum Intermediate Concentration is denoted by C_R,max symbol.

How to calculate Maximum Intermediate Concentration in First Order followed by Zero Order Reaction using this online calculator? To use this online calculator for Maximum Intermediate Concentration in First Order followed by Zero Order Reaction, enter Initial Reactant Concentration (C_o), Rate Constant for Zero Order Reaction (k₀) & Rate Constant for First Step First Order Reaction (k₁) and hit the calculate button. Here is how the Maximum Intermediate Concentration in First Order followed by Zero Order Reaction calculation can be explained with given input values -> 66086.44 = 80*(1-(6500/(80*0.42)*(1-ln(6500/(80*0.42))))).

FAQ

What is Maximum Intermediate Concentration in First Order followed by Zero Order Reaction?

The Maximum Intermediate Concentration in First Order followed by Zero Order Reaction formula is defined as the maximum amount of intermediate that can be formed in a first order reaction followed by zero order reaction and is represented as C_R,max = C_o*(1-(k₀/(C_o*k₁)*(1-ln(k₀/(C_o*k₁))))) or Maximum Intermediate Concentration = Initial Reactant Concentration*(1-(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction))))). The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process, The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant & 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.

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

The Maximum Intermediate Concentration in First Order followed by Zero Order Reaction formula is defined as the maximum amount of intermediate that can be formed in a first order reaction followed by zero order reaction is calculated using Maximum Intermediate Concentration = Initial Reactant Concentration*(1-(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction))))). To calculate Maximum Intermediate Concentration in First Order followed by Zero Order Reaction, you need Initial Reactant Concentration (C_o), Rate Constant for Zero Order Reaction (k₀) & Rate Constant for First Step First Order Reaction (k₁). With our tool, you need to enter the respective value for Initial Reactant Concentration, Rate Constant for Zero Order Reaction & Rate Constant for First Step First Order Reaction 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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