Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time Calculator

✖Initial Concentration of Reactant for Series Rxn is the first measured Concentration of a Compound in a Substance is the Initial Concentration.ⓘ Initial Concentration of Reactant for Series Rxn [C_A0]			+10% -10%
✖Overall Rate of Reaction in 0th Order after 1st Order is the ratio of Zero Order Rate Constant and First Order Rate Constant.ⓘ Overall Rate of Reaction [K]			+10% -10%
✖Rate Constant for 1st Order 2nd Step is the series of First Order Rate after Zero Order.ⓘ Rate Constant for 1st Order 2nd Step [k₁]			+10% -10%
✖A Time Interval for Less Reaction Time is the amount of time required for the change from initial to the final state.ⓘ Time Interval for Less Reaction Time [Δt']			+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 Zero Order followed by First Order with Less Rxn Time [C_R]

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Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time

Formula

`"C"_{"R"} = ("C"_{"A0"}/"K"_{" "})*(1-exp(-("k"_{"1"}*"Δt'")))`

Example

`"9.483899mol/m³"=("80mol/m³"/"1.593mol/m³*s")*(1-exp(-("0.07mol/m³*s"*"2.99s")))`

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Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intermediate Concentration for Series Rxn = (Initial Concentration of Reactant for Series Rxn/Overall Rate of Reaction)*(1-exp(-(Rate Constant for 1st Order 2nd Step*Time Interval for Less Reaction Time)))
C_R = (C_A0/K)*(1-exp(-(k₁*Δt')))
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

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.
Initial Concentration of Reactant for Series Rxn - (Measured in Mole per Cubic Meter) - Initial Concentration of Reactant for Series Rxn is the first measured Concentration of a Compound in a Substance is the Initial Concentration.
Overall Rate of Reaction - (Measured in Mole per Cubic Meter Second) - Overall Rate of Reaction in 0th Order after 1st Order is the ratio of Zero Order Rate Constant and First Order Rate Constant.
Rate Constant for 1st Order 2nd Step - (Measured in Mole per Cubic Meter Second) - Rate Constant for 1st Order 2nd Step is the series of First Order Rate after Zero Order.
Time Interval for Less Reaction Time - (Measured in Second) - A Time Interval for Less Reaction Time is the amount of time required for the change from initial to the final state.

STEP 1: Convert Input(s) to Base Unit

Initial Concentration of Reactant for Series Rxn: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Overall Rate of Reaction: 1.593 Mole per Cubic Meter Second --> 1.593 Mole per Cubic Meter Second No Conversion Required
Rate Constant for 1st Order 2nd Step: 0.07 Mole per Cubic Meter Second --> 0.07 Mole per Cubic Meter Second No Conversion Required
Time Interval for Less Reaction Time: 2.99 Second --> 2.99 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_R = (C_A0/K)*(1-exp(-(k₁*Δt'))) --> (80/1.593)*(1-exp(-(0.07*2.99)))

Evaluating ... ...

C_R = 9.48389938069791

STEP 3: Convert Result to Output's Unit

9.48389938069791 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

9.48389938069791 ≈ 9.483899 Mole per Cubic Meter <-- Intermediate Concentration for Series Rxn

(Calculation completed in 00.004 seconds)

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< 9 Zero Order followed by First Order Reaction Calculators

Intermediate Concentration for Zero Order followed by First Order with Greater Rxn Time

Go Intermediate Concentration for Series Rxn = Initial Conc. of Reactant for Intermediate Conc./Overall Rate of Reaction*(exp(Overall Rate of Reaction-Rate Constant for 1st Order 2nd Step*Time Interval for Greater Reaction Time)-exp(-Rate Constant for 1st Order 2nd Step*Time Interval for Greater Reaction Time))

Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn

Go Initial Reactant Concentration using Intermediate = Intermediate Concentration for Series Rxn/(1/Overall Rate of Reaction*(exp(Overall Rate of Reaction-Rate Constant for 1st Order 2nd Step*Time Interval)-exp(-Rate Constant for 1st Order 2nd Step*Time Interval)))

Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time

Go Intermediate Concentration for Series Rxn = (Initial Concentration of Reactant for Series Rxn/Overall Rate of Reaction)*(1-exp(-(Rate Constant for 1st Order 2nd Step*Time Interval for Less Reaction Time)))

Initial Reactant Concentration by Intermediate Conc. for Zero Order followed by First Order Rxn

Go Initial Concentration of Reactant for Series Rxn = Intermediate Concentration for Series Rxn/(1/Overall Rate of Reaction*(1-exp(-(Rate Constant for 1st Order 2nd Step*Time Interval))))

Maximum Intermediate Concentration in Zero Order followed by First Order

Go Maximum Intermediate Concentration = ((Initial Concentration of Reactant for Series Rxn*(1-exp(-Overall Rate of Reaction)))/Overall Rate of Reaction)

Reactant Concentration of Zero Order Reaction followed by First Order Reaction

Go Reactant Concentration for Multiple Rxns = (Initial Concentration of Reactant for Series Rxn-(Rate Constant for Zero Order Rxn*Time Interval))

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

Go Rate Constant for Zero Order Rxn = (Initial Concentration of Reactant for Series Rxn-Reactant Concentration for Multiple Rxns)/Time Interval

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

Go Initial Concentration of Reactant for Series Rxn = Reactant Concentration for Multiple Rxns+Rate Constant for Zero Order Rxn*Time Interval

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

Go Time at Maximum Intermediate Concentration = Initial Concentration of Reactant for Series Rxn/Rate Constant for Zero Order Rxn

Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time 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 zero order and first order reactions?

A Zero-order reaction is a chemical reaction wherein the rate does not vary with the increase or decrease in the concentration of the reactants. 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.

How to Calculate Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time?

Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time calculator uses Intermediate Concentration for Series Rxn = (Initial Concentration of Reactant for Series Rxn/Overall Rate of Reaction)*(1-exp(-(Rate Constant for 1st Order 2nd Step*Time Interval for Less Reaction Time))) to calculate the Intermediate Concentration for Series Rxn, Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time formula is defined as the Concentration of the of the Intermediate, when the Reaction Time is less than the Rate of the First Step. Intermediate Concentration for Series Rxn is denoted by C_R symbol.

How to calculate Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time using this online calculator? To use this online calculator for Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time, enter Initial Concentration of Reactant for Series Rxn (C_A0), Overall Rate of Reaction (K), Rate Constant for 1st Order 2nd Step (k₁) & Time Interval for Less Reaction Time (Δt') and hit the calculate button. Here is how the Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time calculation can be explained with given input values -> 5.807316 = (80/1.593)*(1-exp(-(0.07*2.99))).

FAQ

What is Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time?

Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time formula is defined as the Concentration of the of the Intermediate, when the Reaction Time is less than the Rate of the First Step and is represented as C_R = (C_A0/K)*(1-exp(-(k₁*Δt'))) or Intermediate Concentration for Series Rxn = (Initial Concentration of Reactant for Series Rxn/Overall Rate of Reaction)*(1-exp(-(Rate Constant for 1st Order 2nd Step*Time Interval for Less Reaction Time))). Initial Concentration of Reactant for Series Rxn is the first measured Concentration of a Compound in a Substance is the Initial Concentration, Overall Rate of Reaction in 0th Order after 1st Order is the ratio of Zero Order Rate Constant and First Order Rate Constant, Rate Constant for 1st Order 2nd Step is the series of First Order Rate after Zero Order & A Time Interval for Less Reaction Time is the amount of time required for the change from initial to the final state.

How to calculate Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time?

Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time formula is defined as the Concentration of the of the Intermediate, when the Reaction Time is less than the Rate of the First Step is calculated using Intermediate Concentration for Series Rxn = (Initial Concentration of Reactant for Series Rxn/Overall Rate of Reaction)*(1-exp(-(Rate Constant for 1st Order 2nd Step*Time Interval for Less Reaction Time))). To calculate Intermediate Concentration for Zero Order followed by First Order with Less Rxn Time, you need Initial Concentration of Reactant for Series Rxn (C_A0), Overall Rate of Reaction (K), Rate Constant for 1st Order 2nd Step (k₁) & Time Interval for Less Reaction Time (Δt'). With our tool, you need to enter the respective value for Initial Concentration of Reactant for Series Rxn, Overall Rate of Reaction, Rate Constant for 1st Order 2nd Step & Time Interval for Less Reaction Time 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 Intermediate Concentration for Series Rxn?

In this formula, Intermediate Concentration for Series Rxn uses Initial Concentration of Reactant for Series Rxn, Overall Rate of Reaction, Rate Constant for 1st Order 2nd Step & Time Interval for Less Reaction Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Intermediate Concentration for Series Rxn = Initial Conc. of Reactant for Intermediate Conc./Overall Rate of Reaction*(exp(Overall Rate of Reaction-Rate Constant for 1st Order 2nd Step*Time Interval for Greater Reaction Time)-exp(-Rate Constant for 1st Order 2nd Step*Time Interval for Greater Reaction Time))

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