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

Search
Home	Engineering ↺
Engineering	Chemical Engineering ↺
Chemical Engineering	Chemical Reaction Engineering ↺
Chemical Reaction Engineering	Homogeneous Reactions in Ideal Reactors ↺
Homogeneous Reactions in Ideal Reactors	Potpourri of Multiple Reactions ↺
Potpourri of Multiple Reactions	First Order followed by Zero Order Reaction ↺

✖Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.ⓘ Intermediate Concentration [C_R]			+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%
✖A Time Interval is the amount of time required for the change from initial to the final state.ⓘ Time Interval [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 [k₁]			+10% -10%

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

⎘ Copy

👎

Formula

✖

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

Formula

`"C"_{"o"} = ("C"_{"R"}+("k"_{"0"}*"Δt"))/(1-exp(-"k"_{"1"}*"Δt"))`

Example

`"71.85963mol/m³"=("10mol/m³"+("6.5mol/m³*s"*"0.48s"))/(1-exp(-"0.42s⁻¹"*"0.48s"))`

Calculator

LaTeX

Reset

👍

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_o = (C_R+(k₀*Δt))/(1-exp(-k₁*Δt))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

exp - Exponential function, exp(Number)

Variables Used

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.
Intermediate Concentration - (Measured in Mole per Cubic Meter) - Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.
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.
Time Interval - (Measured in Second) - A Time Interval 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.

STEP 1: Convert Input(s) to Base Unit

Intermediate Concentration: 10 Mole per Cubic Meter --> 10 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
Time Interval: 0.48 Second --> 0.48 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_o = (C_R+(k₀*Δt))/(1-exp(-k₁*Δt)) --> (10+(6.5*0.48))/(1-exp(-0.42*0.48))

Evaluating ... ...

C_o = 71.859631919189

STEP 3: Convert Result to Output's Unit

71.859631919189 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

71.859631919189 Mole per Cubic Meter <-- Initial Reactant Concentration

(Calculation completed in 00.016 seconds)

You are here -

Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Homogeneous Reactions in Ideal Reactors » Potpourri of Multiple Reactions » First Order followed by Zero Order Reaction » Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction

Credits

Created by akhilesh

K. K. Wagh Institute of Engineering Education and Research (K.K.W.I.E.E.R.), Nashik

akhilesh has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

National Institute of Technology (NIT), Meghalaya

Prerana Bakli has verified this Calculator and 1200+ more calculators!

< 9 First Order followed by Zero Order Reaction Calculators

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

Formula

`"k"_{"0"} = ("C"_{"o"}/"Δt")*(1-exp((-"k"_{"1"})*"Δt")-("C"_{"R"}/"C"_{"o"}))`

Example

`"9.596361mol/m³*s"=("80mol/m³"/"0.48s")*(1-exp((-"0.42s⁻¹")*"0.48s")-("10mol/m³"/"80mol/m³"))`

Calculator

LaTeX

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

✖

Intermediate Concentration for First Order followed by Zero Order Reaction

Formula

`"C"_{"R"} = "C"_{"o"}*(1-exp(-"k"_{"1"}*"Δt")-(("k"_{"0"}*"Δt")/"C"_{"o"}))`

Example

`"11.48625mol/m³"="80mol/m³"*(1-exp(-"0.42s⁻¹"*"0.48s")-(("6.5mol/m³*s"*"0.48s")/"80mol/m³"))`

Calculator

LaTeX

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

✖

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

Formula

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

Example

`"0.373181s⁻¹"=(1/"0.48s")*ln("80mol/m³"/("80mol/m³"-("6.5mol/m³*s"*"0.48s")-"10mol/m³"))`

Calculator

LaTeX

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

✖

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

Formula

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

Example

`"3.911247s"=(1/"0.42s⁻¹")*ln(("0.42s⁻¹"*"80mol/m³")/"6.5mol/m³*s")`

Calculator

LaTeX

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

✖

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

Formula

`"C"_{"o"} = ("C"_{"R"}+("k"_{"0"}*"Δt"))/(1-exp(-"k"_{"1"}*"Δt"))`

Example

`"71.85963mol/m³"=("10mol/m³"+("6.5mol/m³*s"*"0.48s"))/(1-exp(-"0.42s⁻¹"*"0.48s"))`

Calculator

LaTeX

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

✖

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

Formula

`"k"_{"1"} = (1/"Δt")*ln("C"_{"o"}/"C")`

Example

`"2.508277s⁻¹"=(1/"0.48s")*ln("80mol/m³"/"24mol/m³")`

Calculator

LaTeX

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

✖

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

Formula

`"Δt" = (1/"k"_{"1"})*ln("C"_{"o"}/"C")`

Example

`"2.866602s"=(1/"0.42s⁻¹")*ln("80mol/m³"/"24mol/m³")`

Calculator

LaTeX

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

✖

Initial Reactant Concentration in First Order followed by Zero Order Reaction

Formula

`"C"_{"o"} = "C"/exp(-"k"_{"1"}*"Δt")`

Example

`"29.36061mol/m³"="24mol/m³"/exp(-"0.42s⁻¹"*"0.48s")`

Calculator

LaTeX

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

✖

Reactant Concentration in First Order followed by Zero Order Reaction

Formula

`"C" = "C"_{"o"}*exp(-"k"_{"1"}*"Δt")`

Example

`"65.39375mol/m³"="80mol/m³"*exp(-"0.42s⁻¹"*"0.48s")`

Calculator

LaTeX

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

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

Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction calculator uses 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)) to calculate the Initial Reactant Concentration, The Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction formula is defined as the amount reactant present in the system before utilizing it in first order reaction followed by zero order reaction. Initial Reactant Concentration is denoted by C_o symbol.

How to calculate Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction using this online calculator? To use this online calculator for Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction, enter Intermediate Concentration (C_R), Rate Constant for Zero Order Reaction (k₀), Time Interval (Δt) & Rate Constant for First Step First Order Reaction (k₁) and hit the calculate button. Here is how the Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction calculation can be explained with given input values -> 17143.34 = (10+(6500*0.48))/(1-exp(-0.42*0.48)).

FAQ

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

The Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction formula is defined as the amount reactant present in the system before utilizing it in first order reaction followed by zero order reaction and is represented as C_o = (C_R+(k₀*Δt))/(1-exp(-k₁*Δt)) or 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)). Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction, 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, A Time Interval 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.

How to calculate Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction?

The Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction formula is defined as the amount reactant present in the system before utilizing it in first order reaction followed by zero order reaction is calculated using 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)). To calculate Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction, you need Intermediate Concentration (C_R), Rate Constant for Zero Order Reaction (k₀), Time Interval (Δt) & Rate Constant for First Step First Order Reaction (k₁). With our tool, you need to enter the respective value for Intermediate Concentration, Rate Constant for Zero Order Reaction, Time Interval & 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.

How many ways are there to calculate Initial Reactant Concentration?

In this formula, Initial Reactant Concentration uses Intermediate Concentration, Rate Constant for Zero Order Reaction, Time Interval & Rate Constant for First Step First Order Reaction. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!