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

✖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 [t]			+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%
✖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%

✖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.ⓘ Rate Constant for Reaction A to B for Set of Two Parallel Reactions [k₁]

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Formula

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

Formula

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

Example

`"5.1E^-5s⁻¹"=1/"3600s"*ln("100mol/L"/"60.5mol/L")-"0.0000887s⁻¹"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Reaction Rate Constant 1 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-Reaction Rate Constant 2
k₁ = 1/t*ln(A₀/R_A)-k₂
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

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.
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 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 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

k₁ = 1/t*ln(A₀/R_A)-k₂ --> 1/3600*ln(100000/60500)-8.87E-05

Evaluating ... ...

k₁ = 5.08907835975821E-05

STEP 3: Convert Result to Output's Unit

5.08907835975821E-05 1 Per Second --> No Conversion Required

FINAL ANSWER

5.08907835975821E-05 ≈ 5.1E-5 1 Per Second <-- Reaction Rate Constant 1

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Chemical Kinetics » Complex Reactions » Parallel Reactions » Kinetics for Set of Two Parallel Reactions » Rate Constant for Reaction A to B for Set of Two Parallel Reactions

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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

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

Reaction Rate Constant 1 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-Reaction Rate Constant 2
k₁ = 1/t*ln(A₀/R_A)-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 Rate Constant for Reaction A to B for Set of Two Parallel Reactions?

Rate Constant for Reaction A to B for Set of Two Parallel Reactions calculator uses Reaction Rate Constant 1 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-Reaction Rate Constant 2 to calculate the Reaction Rate Constant 1, The Rate Constant for Reaction A to B for Set of Two Parallel Reactions formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place. Reaction Rate Constant 1 is denoted by k₁ symbol.

How to calculate Rate Constant for Reaction A to B for Set of Two Parallel Reactions using this online calculator? To use this online calculator for Rate Constant for Reaction A to B for Set of Two Parallel Reactions, enter Time (t), Initial Concentration of Reactant A (A₀), Reactant A Concentration (R_A) & Reaction Rate Constant 2 (k₂) and hit the calculate button. Here is how the Rate Constant for Reaction A to B for Set of Two Parallel Reactions calculation can be explained with given input values -> 5.1E-5 = 1/3600*ln(100000/60500)-8.87E-05.

FAQ

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

The Rate Constant for Reaction A to B for Set of Two 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 k₁ = 1/t*ln(A₀/R_A)-k₂ or Reaction Rate Constant 1 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-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 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 B for Set of Two Parallel Reactions?

The Rate Constant for Reaction A to B for Set of Two 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 Reaction Rate Constant 1 = 1/Time*ln(Initial Concentration of Reactant A/Reactant A Concentration)-Reaction Rate Constant 2. To calculate Rate Constant for Reaction A to B for Set of Two Parallel Reactions, you need Time (t), Initial Concentration of Reactant A (A₀), Reactant A Concentration (R_A) & 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 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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