Time taken for Set of Two 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%
✖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%
✖Reactant A Concentration is defined as the concentration of substance A after reacting for a given interval of time t.ⓘ Reactant A Concentration [R_A]			+10% -10%

✖Life Time for Parallel Reaction is defined as the average of the total time periods of separate reactions.ⓘ Time taken for Set of Two Parallel Reactions [t_1/2av]

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Time taken for Set of Two Parallel Reactions

Formula

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

Example

`"5325.07s"=1/("0.00000567s⁻¹"+"0.0000887s⁻¹")*ln("100mol/L"/"60.5mol/L")`

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Time taken for Set of Two Parallel Reactions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Life Time for Parallel Reaction = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2)*ln(Initial Concentration of Reactant A/Reactant A Concentration)
t_1/2av = 1/(k₁+k₂)*ln(A₀/R_A)
This formula uses 1 Functions, 5 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

Life Time for Parallel Reaction - (Measured in Second) - Life Time for Parallel Reaction is defined as the average of the total time periods of separate reactions.
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.
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.
Reactant A Concentration - (Measured in Mole per Cubic Meter) - Reactant A Concentration is defined as the concentration of substance A after reacting for a given interval of time t.

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
Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)
Reactant A Concentration: 60.5 Mole per Liter --> 60500 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_1/2av = 1/(k₁+k₂)*ln(A₀/R_A) --> 1/(5.67E-06+8.87E-05)*ln(100000/60500)

Evaluating ... ...

t_1/2av = 5325.06962966298

STEP 3: Convert Result to Output's Unit

5325.06962966298 Second --> No Conversion Required

FINAL ANSWER

5325.06962966298 ≈ 5325.07 Second <-- Life Time for Parallel Reaction

(Calculation completed in 00.004 seconds)

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< 11 Kinetics for Set of Two Parallel Reactions Calculators

Concentration of Product B in Set of Two Parallel Reactions

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

Concentration of Product C in Set of Two Parallel Reactions

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

Time taken for Set of Two Parallel Reactions

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

Concentration of Reactant A after time t in Set of Two Parallel Reactions

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

Initial Concentration of Reactant A for Set of Two Parallel Reactions

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

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

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

Rate Constant for Reaction A to C in Set of Two Parallel Reactions

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

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

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

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

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

Average Life-Time for Set of Two Parallel Reactions

Go Average Life Time = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2)

Ratio of Products B to C in Set of Two Parallel Reactions

Go Ratio B to C = Reaction Rate Constant 1/Reaction Rate Constant 2

Time taken for Set of Two Parallel Reactions Formula

Life Time for Parallel Reaction = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2)*ln(Initial Concentration of Reactant A/Reactant A Concentration)
t_1/2av = 1/(k₁+k₂)*ln(A₀/R_A)

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 Two Parallel Reactions?

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

How to Calculate Time taken for Set of Two Parallel Reactions?

Time taken for Set of Two Parallel Reactions calculator uses Life Time for Parallel Reaction = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2)*ln(Initial Concentration of Reactant A/Reactant A Concentration) to calculate the Life Time for Parallel Reaction, The Time taken for Set of Two Parallel Reactions formula is defined as the interval of time required for the the reactant A to be reduced from it's initial concentration to it's present concentration. Life Time for Parallel Reaction is denoted by t_1/2av symbol.

How to calculate Time taken for Set of Two Parallel Reactions using this online calculator? To use this online calculator for Time taken for Set of Two Parallel Reactions, enter Reaction Rate Constant 1 (k₁), Reaction Rate Constant 2 (k₂), Initial Concentration of Reactant A (A₀) & Reactant A Concentration (R_A) and hit the calculate button. Here is how the Time taken for Set of Two Parallel Reactions calculation can be explained with given input values -> 5325.07 = 1/(5.67E-06+8.87E-05)*ln(100000/60500).

FAQ

What is Time taken for Set of Two Parallel Reactions?

The Time taken for Set of Two Parallel Reactions formula is defined as the interval of time required for the the reactant A to be reduced from it's initial concentration to it's present concentration and is represented as t_1/2av = 1/(k₁+k₂)*ln(A₀/R_A) or Life Time for Parallel Reaction = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2)*ln(Initial Concentration of Reactant A/Reactant A Concentration). 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, Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0 & Reactant A Concentration is defined as the concentration of substance A after reacting for a given interval of time t.

How to calculate Time taken for Set of Two Parallel Reactions?

The Time taken for Set of Two Parallel Reactions formula is defined as the interval of time required for the the reactant A to be reduced from it's initial concentration to it's present concentration is calculated using Life Time for Parallel Reaction = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2)*ln(Initial Concentration of Reactant A/Reactant A Concentration). To calculate Time taken for Set of Two Parallel Reactions, you need Reaction Rate Constant 1 (k₁), Reaction Rate Constant 2 (k₂), Initial Concentration of Reactant A (A₀) & Reactant A Concentration (R_A). With our tool, you need to enter the respective value for Reaction Rate Constant 1, Reaction Rate Constant 2, Initial Concentration of Reactant A & Reactant A Concentration 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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