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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Ca0 = CR/(1/K *(exp(K -k1*Δt)-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
Initial Reactant Concentration using Intermediate - (Measured in Mole per Cubic Meter) - Initial Reactant Concentration using Intermediate is the first measured Concentration of a Compound in a Substance is the Initial Concentration.
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.
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 - (Measured in Second) - A Time Interval is the amount of time required for the change from initial to the final state.
STEP 1: Convert Input(s) to Base Unit
Intermediate Concentration for Series Rxn: 10 Mole per Cubic Meter --> 10 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: 3 Second --> 3 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ca0 = CR/(1/K *(exp(K -k1*Δt)-exp(-k1*Δt))) --> 10/(1/1.593*(exp(1.593-0.07*3)-exp(-0.07*3)))
Evaluating ... ...
Ca0 = 5.01533251160426
STEP 3: Convert Result to Output's Unit
5.01533251160426 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
5.01533251160426 5.015333 Mole per Cubic Meter <-- Initial Reactant Concentration using Intermediate
(Calculation completed in 00.050 seconds)

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Zero Order followed by First Order Reaction Calculators

Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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))))
Initial Concentration of Reactant in Zero Order Reaction followed by First Order Reaction
​ LaTeX ​ Go Initial Concentration of Reactant for Series Rxn = Reactant Concentration for Multiple Rxns+Rate Constant for Zero Order Rxn*Time Interval

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

​LaTeX ​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)))
Ca0 = CR/(1/K *(exp(K -k1*Δt)-exp(-k1*Δt)))

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

Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn calculator uses 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))) to calculate the Initial Reactant Concentration using Intermediate, Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn formula is defined as Multi Step Reaction, where the Time Interval of the Reaction is greater than Rate of First Step. Initial Reactant Concentration using Intermediate is denoted by Ca0 symbol.

How to calculate Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn using this online calculator? To use this online calculator for Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn, enter Intermediate Concentration for Series Rxn (CR), Overall Rate of Reaction (K ), Rate Constant for 1st Order 2nd Step (k1) & Time Interval (Δt) and hit the calculate button. Here is how the Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn calculation can be explained with given input values -> 5.015333 = 10/(1/1.593*(exp(1.593-0.07*3)-exp(-0.07*3))).

FAQ

What is Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn?
Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn formula is defined as Multi Step Reaction, where the Time Interval of the Reaction is greater than Rate of First Step and is represented as Ca0 = CR/(1/K *(exp(K -k1*Δt)-exp(-k1*Δt))) or 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 Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction, 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 is the amount of time required for the change from initial to the final state.
How to calculate Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn?
Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn formula is defined as Multi Step Reaction, where the Time Interval of the Reaction is greater than Rate of First Step is calculated using 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))). To calculate Initial Reactant Concentration using Intermediate Conc. for Zero Order followed by First Order Rxn, you need Intermediate Concentration for Series Rxn (CR), Overall Rate of Reaction (K ), Rate Constant for 1st Order 2nd Step (k1) & Time Interval (Δt). With our tool, you need to enter the respective value for Intermediate Concentration for Series Rxn, Overall Rate of Reaction, Rate Constant for 1st Order 2nd Step & Time Interval 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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