Concentration of Product C in First Order Consecutive Reaction Calculator

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✖Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.ⓘ Initial Concentration of Reactant A [A₀]			+10% -10%
✖Rate Constant of Reaction 2 is the proportionality constant relating to the rate of the chemical reaction to the conc. of the reactant or product in chemical reaction 2.ⓘ Rate Constant of Reaction 2 [k₂]			+10% -10%
✖Reaction Rate Constant 1 is defined as proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in reaction 1.ⓘ Reaction Rate Constant 1 [k₁]			+10% -10%
✖Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction.ⓘ Time [t]			+10% -10%

✖Concentration of C at Time t is defined as the amount of substance B present after reacting for a given interval of time t.ⓘ Concentration of Product C in First Order Consecutive Reaction [[C]]

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Concentration of Product C in First Order Consecutive Reaction

Formula

`"[C]" = "A"_{"0"}*(1-(1/("k"_{"2"}-"k"_{"1"})*("k"_{"2"}*(exp(-"k"_{"1"}*"t")-"k"_{"1"}*exp(-"k"_{"2"}*"t")))))`

Example

`"1.958048mol/L"="100mol/L"*(1-(1/("0.0089s⁻¹"-"0.00000567s⁻¹")*("0.0089s⁻¹"*(exp(-"0.00000567s⁻¹"*"3600s")-"0.00000567s⁻¹"*exp(-"0.0089s⁻¹"*"3600s")))))`

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Concentration of Product C in First Order Consecutive Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of C at Time t = Initial Concentration of Reactant A*(1-(1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)*(Rate Constant of Reaction 2*(exp(-Reaction Rate Constant 1*Time)-Reaction Rate Constant 1*exp(-Rate Constant of Reaction 2*Time)))))
[C] = A₀*(1-(1/(k₂-k₁)*(k₂*(exp(-k₁*t)-k₁*exp(-k₂*t)))))
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

Concentration of C at Time t - (Measured in Mole per Cubic Meter) - Concentration of C at Time t is defined as the amount of substance B present after reacting for a given interval of time t.
Initial Concentration of Reactant A - (Measured in Mole per Cubic Meter) - Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.
Rate Constant of Reaction 2 - (Measured in 1 Per Second) - Rate Constant of Reaction 2 is the proportionality constant relating to the rate of the chemical reaction to the conc. of the reactant or product in chemical reaction 2.
Reaction Rate Constant 1 - (Measured in 1 Per Second) - Reaction Rate Constant 1 is defined as proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in reaction 1.
Time - (Measured in Second) - Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction.

STEP 1: Convert Input(s) to Base Unit

Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)
Rate Constant of Reaction 2: 0.0089 1 Per Second --> 0.0089 1 Per Second No Conversion Required
Reaction Rate Constant 1: 5.67E-06 1 Per Second --> 5.67E-06 1 Per Second No Conversion Required
Time: 3600 Second --> 3600 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[C] = A₀*(1-(1/(k₂-k₁)*(k₂*(exp(-k₁*t)-k₁*exp(-k₂*t))))) --> 100000*(1-(1/(0.0089-5.67E-06)*(0.0089*(exp(-5.67E-06*3600)-5.67E-06*exp(-0.0089*3600)))))

Evaluating ... ...

[C] = 1958.04810214124

STEP 3: Convert Result to Output's Unit

1958.04810214124 Mole per Cubic Meter -->1.95804810214124 Mole per Liter (Check conversion here)

FINAL ANSWER

1.95804810214124 ≈ 1.958048 Mole per Liter <-- Concentration of C at Time t

(Calculation completed in 00.004 seconds)

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< 9 Consecutive Reactions Calculators

Concentration of Product C in First Order Consecutive Reaction

Go Concentration of C at Time t = Initial Concentration of Reactant A*(1-(1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)*(Rate Constant of Reaction 2*(exp(-Reaction Rate Constant 1*Time)-Reaction Rate Constant 1*exp(-Rate Constant of Reaction 2*Time)))))

Concentration of Intermediate B in First Order Consecutive Reaction

Go Concentration of B at Time t = Initial Concentration of Reactant A*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))*(exp(-Reaction Rate Constant 1*Time)-exp(-Rate Constant of Reaction 2*Time))

Maximum Concentration of Intermediate B in First Order Consecutive Reaction

Go Concentration of B at Time t = Initial Concentration of Reactant A*(Rate Constant of Reaction 2/Reaction Rate Constant 1)^(Rate Constant of Reaction 2/(Reaction Rate Constant 1-Rate Constant of Reaction 2))

Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction

Go Time at maxB = 1/(Reaction Rate Constant 1-Rate Constant of Reaction 2)*ln(Reaction Rate Constant 1/Rate Constant of Reaction 2)

Conc. of Intermediate B provided Reactant A Conc. at time t given k2 much greater than k1

Go Concentration of B at Time t = Concentration of A at Time t*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))

Concentration of Product C when k2 much greater than k1 in 1st Order Consecutive Reaction

Go Concentration of C at Time t = Initial Concentration of Reactant A*(1-exp(-Reaction Rate Constant 1*Time))

Concentration of Reactant A in First Order Consecutive Reaction

Go Concentration of A at Time t = Initial Concentration of Reactant A*exp(-Reaction Rate Constant 1*Time)

Transient Eqm- Ratio of B by A when k2 much greater than k1 for 1st Order Consecutive Rxn

Go B to A Ratio = Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)

Secular Eqm- Ratio of Conc. of A to B given of half-lives provided k2 much greater than k1

Go A to B Ratio = Half life of B/Half life of A

Concentration of Product C in First Order Consecutive Reaction Formula

What is a Consecutive Reaction?

Consecutive reactions can also be referred to as complex reactions. Usually the product of the first reaction is called the intermediate. It's a three step reaction, the product of first reactions is the intermediate, and the final step we obtain the desired product. Another way to define consecutive reaction is that the reaction in which the reactants form intermediates and then these intermediates react to form the final products.
A→B→C
Here A, B and C are the substances.

How to Calculate Concentration of Product C in First Order Consecutive Reaction?

Concentration of Product C in First Order Consecutive Reaction calculator uses Concentration of C at Time t = Initial Concentration of Reactant A*(1-(1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)*(Rate Constant of Reaction 2*(exp(-Reaction Rate Constant 1*Time)-Reaction Rate Constant 1*exp(-Rate Constant of Reaction 2*Time))))) to calculate the Concentration of C at Time t, The Concentration of Product C in First Order Consecutive Reaction formula is defined as the amount of product C formed from the intermediate B in a consecutive reaction system within the time interval t. Concentration of C at Time t is denoted by [C] symbol.

How to calculate Concentration of Product C in First Order Consecutive Reaction using this online calculator? To use this online calculator for Concentration of Product C in First Order Consecutive Reaction, enter Initial Concentration of Reactant A (A₀), Rate Constant of Reaction 2 (k₂), Reaction Rate Constant 1 (k₁) & Time (t) and hit the calculate button. Here is how the Concentration of Product C in First Order Consecutive Reaction calculation can be explained with given input values -> 0.001958 = 100000*(1-(1/(0.0089-5.67E-06)*(0.0089*(exp(-5.67E-06*3600)-5.67E-06*exp(-0.0089*3600))))).

FAQ

What is Concentration of Product C in First Order Consecutive Reaction?

The Concentration of Product C in First Order Consecutive Reaction formula is defined as the amount of product C formed from the intermediate B in a consecutive reaction system within the time interval t and is represented as [C] = A₀*(1-(1/(k₂-k₁)*(k₂*(exp(-k₁*t)-k₁*exp(-k₂*t))))) or Concentration of C at Time t = Initial Concentration of Reactant A*(1-(1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)*(Rate Constant of Reaction 2*(exp(-Reaction Rate Constant 1*Time)-Reaction Rate Constant 1*exp(-Rate Constant of Reaction 2*Time))))). Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0, Rate Constant of Reaction 2 is the proportionality constant relating to the rate of the chemical reaction to the conc. of the reactant or product in chemical reaction 2, Reaction Rate Constant 1 is defined as proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in reaction 1 & Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction.

How to calculate Concentration of Product C in First Order Consecutive Reaction?

The Concentration of Product C in First Order Consecutive Reaction formula is defined as the amount of product C formed from the intermediate B in a consecutive reaction system within the time interval t is calculated using Concentration of C at Time t = Initial Concentration of Reactant A*(1-(1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)*(Rate Constant of Reaction 2*(exp(-Reaction Rate Constant 1*Time)-Reaction Rate Constant 1*exp(-Rate Constant of Reaction 2*Time))))). To calculate Concentration of Product C in First Order Consecutive Reaction, you need Initial Concentration of Reactant A (A₀), Rate Constant of Reaction 2 (k₂), Reaction Rate Constant 1 (k₁) & Time (t). With our tool, you need to enter the respective value for Initial Concentration of Reactant A, Rate Constant of Reaction 2, Reaction Rate Constant 1 & 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 Concentration of C at Time t?

In this formula, Concentration of C at Time t uses Initial Concentration of Reactant A, Rate Constant of Reaction 2, Reaction Rate Constant 1 & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Concentration of C at Time t = Initial Concentration of Reactant A*(1-exp(-Reaction Rate Constant 1*Time))

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