Average Life-Time for Set of Two Parallel Reactions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Life Time = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2)
t1/2avg = 0.693/(k1+k2)
This formula uses 3 Variables
Variables Used
Average Life Time - (Measured in Second) - Average Life Time 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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t1/2avg = 0.693/(k1+k2) --> 0.693/(5.67E-06+8.87E-05)
Evaluating ... ...
t1/2avg = 7343.43541379676
STEP 3: Convert Result to Output's Unit
7343.43541379676 Second --> No Conversion Required
FINAL ANSWER
7343.43541379676 7343.435 Second <-- Average Life Time
(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

Average Life-Time for Set of Two Parallel Reactions Formula

Average Life Time = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2)
t1/2avg = 0.693/(k1+k2)

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 Average Life-Time for Set of Two Parallel Reactions?

Average Life-Time for Set of Two Parallel Reactions calculator uses Average Life Time = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2) to calculate the Average Life Time, The Average Life-Time for Set of Two 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. Average Life Time is denoted by t1/2avg symbol.

How to calculate Average Life-Time for Set of Two Parallel Reactions using this online calculator? To use this online calculator for Average Life-Time for Set of Two Parallel Reactions, enter Reaction Rate Constant 1 (k1) & Reaction Rate Constant 2 (k2) and hit the calculate button. Here is how the Average Life-Time for Set of Two Parallel Reactions calculation can be explained with given input values -> 7343.435 = 0.693/(5.67E-06+8.87E-05).

FAQ

What is Average Life-Time for Set of Two Parallel Reactions?
The Average Life-Time for Set of Two 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 t1/2avg = 0.693/(k1+k2) or Average Life Time = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 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 & 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.
How to calculate Average Life-Time for Set of Two Parallel Reactions?
The Average Life-Time for Set of Two 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 Average Life Time = 0.693/(Reaction Rate Constant 1+Reaction Rate Constant 2). To calculate Average Life-Time for Set of Two Parallel Reactions, you need Reaction Rate Constant 1 (k1) & Reaction Rate Constant 2 (k2). With our tool, you need to enter the respective value for Reaction Rate Constant 1 & Reaction Rate Constant 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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