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

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✖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%
✖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%

✖Time at maxB is defined as the interval of time required to reach maximum concentration of substance B.ⓘ Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction [t_maxB]

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

Formula

`"t"_{"maxB"} = 1/("k"_{"1"}-"k"_{"2"})*ln("k"_{"1"}/"k"_{"2"})`

Example

`"827.338s"=1/("0.00000567s⁻¹"-"0.0089s⁻¹")*ln("0.00000567s⁻¹"/"0.0089s⁻¹")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Time at maxB = 1/(Reaction Rate Constant 1-Rate Constant of Reaction 2)*ln(Reaction Rate Constant 1/Rate Constant of Reaction 2)
t_maxB = 1/(k₁-k₂)*ln(k₁/k₂)
This formula uses 1 Functions, 3 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Time at maxB - (Measured in Second) - Time at maxB is defined as the interval of time required to reach maximum concentration of substance B.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Reaction Rate Constant 1: 5.67E-06 1 Per Second --> 5.67E-06 1 Per Second No Conversion Required
Rate Constant of Reaction 2: 0.0089 1 Per Second --> 0.0089 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_maxB = 1/(k₁-k₂)*ln(k₁/k₂) --> 1/(5.67E-06-0.0089)*ln(5.67E-06/0.0089)

Evaluating ... ...

t_maxB = 827.338027482741

STEP 3: Convert Result to Output's Unit

827.338027482741 Second --> No Conversion Required

FINAL ANSWER

827.338027482741 ≈ 827.338 Second <-- Time at maxB

(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

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

Time at maxB = 1/(Reaction Rate Constant 1-Rate Constant of Reaction 2)*ln(Reaction Rate Constant 1/Rate Constant of Reaction 2)
t_maxB = 1/(k₁-k₂)*ln(k₁/k₂)

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

Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction calculator uses Time at maxB = 1/(Reaction Rate Constant 1-Rate Constant of Reaction 2)*ln(Reaction Rate Constant 1/Rate Constant of Reaction 2) to calculate the Time at maxB, The Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction formula is defined as the interval of time required for intermediate B to reach it's maximum concentration. Time at maxB is denoted by t_maxB symbol.

How to calculate Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction using this online calculator? To use this online calculator for Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction, enter Reaction Rate Constant 1 (k₁) & Rate Constant of Reaction 2 (k₂) and hit the calculate button. Here is how the Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction calculation can be explained with given input values -> 827.338 = 1/(5.67E-06-0.0089)*ln(5.67E-06/0.0089).

FAQ

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

The Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction formula is defined as the interval of time required for intermediate B to reach it's maximum concentration and is represented as t_maxB = 1/(k₁-k₂)*ln(k₁/k₂) or Time at maxB = 1/(Reaction Rate Constant 1-Rate Constant of Reaction 2)*ln(Reaction Rate Constant 1/Rate Constant of 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 & 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.

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

The Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction formula is defined as the interval of time required for intermediate B to reach it's maximum concentration is calculated using Time at maxB = 1/(Reaction Rate Constant 1-Rate Constant of Reaction 2)*ln(Reaction Rate Constant 1/Rate Constant of Reaction 2). To calculate Time required to form Maximum Concentration of Intermediate B in First Order Consecutive Reaction, you need Reaction Rate Constant 1 (k₁) & Rate Constant of Reaction 2 (k₂). With our tool, you need to enter the respective value for Reaction Rate Constant 1 & Rate Constant of Reaction 2 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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