Average Life-Time for Set of Three Parallel Reactions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Life Time for Parallel Reaction = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)
t1/2av = 0.693/(k1+k2+k3)
This formula uses 4 Variables
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.
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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t1/2av = 0.693/(k1+k2+k3) --> 0.693/(5.67E-06+8.87E-05+3.45E-05)
Evaluating ... ...
t1/2av = 5377.51222161868
STEP 3: Convert Result to Output's Unit
5377.51222161868 Second --> No Conversion Required
FINAL ANSWER
5377.51222161868 5377.512 Second <-- Life Time for Parallel Reaction
(Calculation completed in 00.020 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)

Average Life-Time for Set of Three Parallel Reactions Formula

Life Time for Parallel Reaction = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)
t1/2av = 0.693/(k1+k2+k3)

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 Average Life-Time for Set of Three Parallel Reactions?

Average Life-Time for Set of Three Parallel Reactions calculator uses Life Time for Parallel Reaction = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3) to calculate the Life Time for Parallel Reaction, The Average Life-Time for Set of Three Parallel Reactions formula is defined as the average life time of the parallel reaction as the products are in constant ratio which is independent of the time and initial concentration of the reactant. Life Time for Parallel Reaction is denoted by t1/2av symbol.

How to calculate Average Life-Time for Set of Three Parallel Reactions using this online calculator? To use this online calculator for Average Life-Time for Set of Three Parallel Reactions, enter Reaction Rate Constant 1 (k1), Reaction Rate Constant 2 (k2) & Rate Constant of Reaction 3 (k3) and hit the calculate button. Here is how the Average Life-Time for Set of Three Parallel Reactions calculation can be explained with given input values -> 5377.512 = 0.693/(5.67E-06+8.87E-05+3.45E-05).

FAQ

What is Average Life-Time for Set of Three Parallel Reactions?
The Average Life-Time for Set of Three Parallel Reactions formula is defined as the average life time of the parallel reaction as the products are in constant ratio which is independent of the time and initial concentration of the reactant and is represented as t1/2av = 0.693/(k1+k2+k3) or Life Time for Parallel Reaction = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3). 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.
How to calculate Average Life-Time for Set of Three Parallel Reactions?
The Average Life-Time for Set of Three Parallel Reactions formula is defined as the average life time of the parallel reaction as the products are in constant ratio which is independent of the time and initial concentration of the reactant is calculated using Life Time for Parallel Reaction = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3). To calculate Average Life-Time for Set of Three Parallel Reactions, you need Reaction Rate Constant 1 (k1), Reaction Rate Constant 2 (k2) & Rate Constant of Reaction 3 (k3). With our tool, you need to enter the respective value for Reaction Rate Constant 1, Reaction Rate Constant 2 & Rate Constant of Reaction 3 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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