## Intermediate Concentration for First Order followed by Zero Order Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
CR = Co*(1-exp(-k1*Δt)-((k0*Δt)/Co))
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
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.
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 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 - (Measured in Second) - A Time Interval is the amount of time required for the change from initial to the final state.
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.
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 First Step First Order Reaction: 0.42 1 Per Second --> 0.42 1 Per Second No Conversion Required
Time Interval: 0.48 Second --> 0.48 Second 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CR = Co*(1-exp(-k1*Δt)-((k0*Δt)/Co)) --> 80*(1-exp(-0.42*0.48)-((6.5*0.48)/80))
Evaluating ... ...
CR = 11.4862534968221
STEP 3: Convert Result to Output's Unit
11.4862534968221 Mole per Cubic Meter --> No Conversion Required
11.4862534968221 11.48625 Mole per Cubic Meter <-- Intermediate Concentration
(Calculation completed in 00.005 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
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
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 = 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 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 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 = (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 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 = (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 = 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 = Initial Reactant Concentration*exp(-Rate Constant for First Step First Order Reaction*Time Interval)

## Intermediate Concentration for First Order followed by Zero Order Reaction Formula

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))
CR = Co*(1-exp(-k1*Δt)-((k0*Δt)/Co))

## 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 Intermediate Concentration for First Order followed by Zero Order Reaction?

Intermediate Concentration for First Order followed by Zero Order Reaction calculator uses 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)) to calculate the Intermediate Concentration, The Intermediate Concentration for First Order followed by Zero Order Reaction formula is defined as the amount of intermediate formed in a first order reaction reaction which is followed by zero order reaction. Intermediate Concentration is denoted by CR symbol.

How to calculate Intermediate Concentration for First Order followed by Zero Order Reaction using this online calculator? To use this online calculator for Intermediate Concentration for First Order followed by Zero Order Reaction, enter Initial Reactant Concentration (Co), Rate Constant for First Step First Order Reaction (k1), Time Interval (Δt) & Rate Constant for Zero Order Reaction (k0) and hit the calculate button. Here is how the Intermediate Concentration for First Order followed by Zero Order Reaction calculation can be explained with given input values -> -3105.393747 = 80*(1-exp(-0.42*0.48)-((6500*0.48)/80)).

### FAQ

What is Intermediate Concentration for First Order followed by Zero Order Reaction?
The Intermediate Concentration for First Order followed by Zero Order Reaction formula is defined as the amount of intermediate formed in a first order reaction reaction which is followed by zero order reaction and is represented as CR = Co*(1-exp(-k1*Δt)-((k0*Δt)/Co)) or 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)). The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered 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 is the amount of time required for the change from initial to the final state & 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.
How to calculate Intermediate Concentration for First Order followed by Zero Order Reaction?
The Intermediate Concentration for First Order followed by Zero Order Reaction formula is defined as the amount of intermediate formed in a first order reaction reaction which is followed by zero order reaction is calculated using 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)). To calculate Intermediate Concentration for First Order followed by Zero Order Reaction, you need Initial Reactant Concentration (Co), Rate Constant for First Step First Order Reaction (k1), Time Interval (Δt) & Rate Constant for Zero Order Reaction (k0). With our tool, you need to enter the respective value for Initial Reactant Concentration, Rate Constant for First Step First Order Reaction, Time Interval & Rate Constant for Zero Order Reaction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know