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

STEP 0: Pre-Calculation Summary
Formula Used
Rate Constant of Reaction 3 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-(Reaction Rate Constant 1+Reaction Rate Constant 2)
k3 = 1/t*ln(A0/RA)-(k1+k2)
This formula uses 1 Functions, 6 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
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.
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.
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.
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
Time: 3600 Second --> 3600 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)
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
k3 = 1/t*ln(A0/RA)-(k1+k2) --> 1/3600*ln(100000/60500)-(5.67E-06+8.87E-05)
Evaluating ... ...
k3 = 4.52207835975821E-05
STEP 3: Convert Result to Output's Unit
4.52207835975821E-05 1 Per Second --> No Conversion Required
FINAL ANSWER
4.52207835975821E-05 4.5E-5 1 Per Second <-- Rate Constant of Reaction 3
(Calculation completed in 00.020 seconds)

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Kinetics for Set of Three Parallel Reactions Calculators

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

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

​LaTeX ​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)
k3 = 1/t*ln(A0/RA)-(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 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 Rate Constant for Reaction A to D for Set of Three Parallel Reactions?

Rate Constant for Reaction A to D for Set of Three Parallel Reactions calculator uses Rate Constant of Reaction 3 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-(Reaction Rate Constant 1+Reaction Rate Constant 2) to calculate the Rate Constant of Reaction 3, The Rate Constant for Reaction A to D for Set of Three Parallel Reactions formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place. Rate Constant of Reaction 3 is denoted by k3 symbol.

How to calculate Rate Constant for Reaction A to D for Set of Three Parallel Reactions using this online calculator? To use this online calculator for Rate Constant for Reaction A to D for Set of Three Parallel Reactions, enter Time (t), Initial Concentration of Reactant A (A0), Reactant A Concentration (RA), Reaction Rate Constant 1 (k1) & Reaction Rate Constant 2 (k2) and hit the calculate button. Here is how the Rate Constant for Reaction A to D for Set of Three Parallel Reactions calculation can be explained with given input values -> 4.5E-5 = 1/3600*ln(100000/60500)-(5.67E-06+8.87E-05).

FAQ

What is Rate Constant for Reaction A to D for Set of Three Parallel Reactions?
The Rate Constant for Reaction A to D for Set of Three Parallel Reactions formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place and is represented as k3 = 1/t*ln(A0/RA)-(k1+k2) or 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 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, 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, 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 Rate Constant for Reaction A to D for Set of Three Parallel Reactions?
The Rate Constant for Reaction A to D for Set of Three Parallel Reactions formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place is calculated using Rate Constant of Reaction 3 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-(Reaction Rate Constant 1+Reaction Rate Constant 2). To calculate Rate Constant for Reaction A to D for Set of Three Parallel Reactions, you need Time (t), Initial Concentration of Reactant A (A0), Reactant A Concentration (RA), Reaction Rate Constant 1 (k1) & Reaction Rate Constant 2 (k2). With our tool, you need to enter the respective value for Time, Initial Concentration of Reactant A, Reactant A Concentration, 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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