Time taken to form Product B from Reactant A in Set of Three Parallel Reactions Calculator

✖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%
✖Reaction Rate Constant 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 2 [k₂]			+10% -10%
✖Rate Constant of reaction 3 is the proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in chemical reaction 3.ⓘ Rate Constant of Reaction 3 [k₃]			+10% -10%
✖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%

✖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 taken to form Product B from Reactant A in Set of Three Parallel Reactions [t]

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Time taken to form Product B from Reactant A in Set of Three Parallel Reactions

Formula

`"t" = "k"_{"1"}/("k"_{"1"}+"k"_{"2"}+"k"_{"3"})*"A"_{"0"}`

Example

`"4399.783s"="0.00000567s⁻¹"/("0.00000567s⁻¹"+"0.0000887s⁻¹"+"0.0000345s⁻¹")*"100mol/L"`

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Time taken to form Product B from Reactant A in Set of Three Parallel Reactions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A
t = k₁/(k₁+k₂+k₃)*A₀
This formula uses 5 Variables

Variables Used

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.
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.
Reaction Rate Constant 2 - (Measured in 1 Per Second) - Reaction Rate Constant 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 3 - (Measured in 1 Per Second) - Rate Constant of reaction 3 is the proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in chemical reaction 3.
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.

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
Reaction Rate Constant 2: 8.87E-05 1 Per Second --> 8.87E-05 1 Per Second No Conversion Required
Rate Constant of Reaction 3: 3.45E-05 1 Per Second --> 3.45E-05 1 Per Second No Conversion Required
Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = k₁/(k₁+k₂+k₃)*A₀ --> 5.67E-06/(5.67E-06+8.87E-05+3.45E-05)*100000

Evaluating ... ...

t = 4399.78272677892

STEP 3: Convert Result to Output's Unit

4399.78272677892 Second --> No Conversion Required

FINAL ANSWER

4399.78272677892 ≈ 4399.783 Second <-- Time

(Calculation completed in 00.004 seconds)

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< 13 Kinetics for Set of Three Parallel Reactions Calculators

Concentration of Product D in Set of Three Parallel Reactions

Go Concentration of reactant D = Rate Constant of Reaction 3/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A*(1-exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time))

Concentration of Product C in Set of Three Parallel Reactions

Go Concentration of C at time t = Reaction Rate Constant 2/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A*(1-exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time))

Concentration of Product B in Set of Three Parallel Reactions

Go Concentration of Reactant B = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A*(1-exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time))

Concentration of Reactant A at Time t for Set of Three Parallel Reactions

Go Reactant A Concentration = Initial Concentration of Reactant A*exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time)

Rate Constant for Reaction A to B for Set of Three Parallel Reactions

Go Reaction Rate Constant 1 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-(Reaction Rate Constant 2+Rate Constant of Reaction 3)

Rate Constant for Reaction A to C for Set of Three Parallel Reactions

Go Reaction Rate Constant 2 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-(Reaction Rate Constant 1+Rate Constant of Reaction 3)

Rate Constant for Reaction A to D for Set of Three Parallel Reactions

Go Rate Constant of Reaction 3 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-(Reaction Rate Constant 1+Reaction Rate Constant 2)

Time taken for Set of Three Parallel Reactions

Go Time = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*ln(Initial Concentration of Reactant A/Reactant A Concentration)

Initial Concentration of Reactant A for Set of Three Parallel Reactions

Go Initial Concentration of Reactant A = Reactant A Concentration*exp((Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time)

Time taken to form Product D from Reactant A in Set of Three Parallel Reactions

Go Time D to A for 3 Parallel Reaction = Rate Constant of Reaction 3/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A

Time taken to form Product C from Reactant A in Set of Three Parallel Reactions

Go Time C to A for 3 Parallel Reaction = Reaction Rate Constant 2/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A

Time taken to form Product B from Reactant A in Set of Three Parallel Reactions

Go Time = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A

Average Life-Time for Set of Three Parallel Reactions

Go Life Time for Parallel Reaction = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)

Time taken to form Product B from Reactant A in Set of Three Parallel Reactions Formula

Time = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A
t = k₁/(k₁+k₂+k₃)*A₀

What are Parallel Reactions?

Parallel reactions are also called concurrent reactions. In these reactions the reacting molecules react or decomposes in more than one ways yielding different sets of products. The reaction yielding maximum amount of product is known as the main or major reaction and the other reactions are referred to as side or parallel reactions.

What is Set of Three Parallel Reactions?

In a set of three parallel reactions two first order reactions takes place concurrently. Starting from a reactant (here, A) three elementary reactions take place parallelly to give products B , C and D having reaction rate constants k1 , k2 and k3 respectively.
A→B , here rate constant = k1
At the same time,
A→C , here the rate constant = k2
And,
A→D , here the rate constant = k3

How to Calculate Time taken to form Product B from Reactant A in Set of Three Parallel Reactions?

Time taken to form Product B from Reactant A in Set of Three Parallel Reactions calculator uses Time = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A to calculate the Time, The Time taken to form Product B from Reactant A in Set of Three Parallel Reactions formula is defined as the interval of time required to form a certain amount of product B. Time is denoted by t symbol.

How to calculate Time taken to form Product B from Reactant A in Set of Three Parallel Reactions using this online calculator? To use this online calculator for Time taken to form Product B from Reactant A in Set of Three Parallel Reactions, enter Reaction Rate Constant 1 (k₁), Reaction Rate Constant 2 (k₂), Rate Constant of Reaction 3 (k₃) & Initial Concentration of Reactant A (A₀) and hit the calculate button. Here is how the Time taken to form Product B from Reactant A in Set of Three Parallel Reactions calculation can be explained with given input values -> 4399.783 = 5.67E-06/(5.67E-06+8.87E-05+3.45E-05)*100000.

FAQ

What is Time taken to form Product B from Reactant A in Set of Three Parallel Reactions?

The Time taken to form Product B from Reactant A in Set of Three Parallel Reactions formula is defined as the interval of time required to form a certain amount of product B and is represented as t = k₁/(k₁+k₂+k₃)*A₀ or Time = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A. 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 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 3 is the proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in chemical reaction 3 & Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.

How to calculate Time taken to form Product B from Reactant A in Set of Three Parallel Reactions?

The Time taken to form Product B from Reactant A in Set of Three Parallel Reactions formula is defined as the interval of time required to form a certain amount of product B is calculated using Time = Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A. To calculate Time taken to form Product B from Reactant A in Set of Three Parallel Reactions, you need Reaction Rate Constant 1 (k₁), Reaction Rate Constant 2 (k₂), Rate Constant of Reaction 3 (k₃) & Initial Concentration of Reactant A (A₀). With our tool, you need to enter the respective value for Reaction Rate Constant 1, Reaction Rate Constant 2, Rate Constant of Reaction 3 & Initial Concentration of Reactant A 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 Time?

In this formula, Time uses Reaction Rate Constant 1, Reaction Rate Constant 2, Rate Constant of Reaction 3 & Initial Concentration of Reactant A. We can use 1 other way(s) to calculate the same, which is/are as follows -

Time = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*ln(Initial Concentration of Reactant A/Reactant A Concentration)

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