Concentration of Reactant A at Time t for Set of Three Parallel Reactions Calculator

✖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%
✖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%
✖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.ⓘ Rate Constant of Reaction 3 [k₃]			+10% -10%
✖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%

✖Reactant A Concentration is defined as the concentration of substance A after reacting for a given interval of time t.ⓘ Concentration of Reactant A at Time t for Set of Three Parallel Reactions [R_A]

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Concentration of Reactant A at Time t for Set of Three Parallel Reactions

Formula

`"R"_{"A"} = "A"_{"0"}*exp(-("k"_{"1"}+"k"_{"2"}+"k"_{"3"})*"t")`

Example

`"62.88063mol/L"="100mol/L"*exp(-("0.00000567s⁻¹"+"0.0000887s⁻¹"+"0.0000345s⁻¹")*"3600s")`

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Concentration of Reactant A at Time t for Set of Three Parallel Reactions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reactant A Concentration = Initial Concentration of Reactant A*exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time)
R_A = A₀*exp(-(k₁+k₂+k₃)*t)
This formula uses 1 Functions, 6 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 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
Rate Constant of Reaction 3: 3.45E-05 1 Per Second --> 3.45E-05 1 Per Second No Conversion Required
Time: 3600 Second --> 3600 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A = A₀*exp(-(k₁+k₂+k₃)*t) --> 100000*exp(-(5.67E-06+8.87E-05+3.45E-05)*3600)

Evaluating ... ...

R_A = 62880.6311842536

STEP 3: Convert Result to Output's Unit

62880.6311842536 Mole per Cubic Meter -->62.8806311842536 Mole per Liter (Check conversion here)

FINAL ANSWER

62.8806311842536 ≈ 62.88063 Mole per Liter <-- Reactant A Concentration

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Chemical Kinetics » Complex Reactions » Parallel Reactions » Kinetics for Set of Three Parallel Reactions » Concentration of Reactant A at Time t for Set of Three Parallel Reactions

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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)

Concentration of Reactant A at Time t for Set of Three Parallel Reactions Formula

Reactant A Concentration = Initial Concentration of Reactant A*exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time)
R_A = A₀*exp(-(k₁+k₂+k₃)*t)

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 Concentration of Reactant A at Time t for Set of Three Parallel Reactions?

Concentration of Reactant A at Time t for Set of Three Parallel Reactions calculator uses Reactant A Concentration = Initial Concentration of Reactant A*exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time) to calculate the Reactant A Concentration, The Concentration of Reactant A at time t for Set of Three Parallel Reactions formula is defined as the amount of reactant present in the reacting system after an time interval of t. Reactant A Concentration is denoted by R_A symbol.

How to calculate Concentration of Reactant A at Time t for Set of Three Parallel Reactions using this online calculator? To use this online calculator for Concentration of Reactant A at Time t for Set of Three Parallel Reactions, enter Initial Concentration of Reactant A (A₀), Reaction Rate Constant 1 (k₁), Reaction Rate Constant 2 (k₂), Rate Constant of Reaction 3 (k₃) & Time (t) and hit the calculate button. Here is how the Concentration of Reactant A at Time t for Set of Three Parallel Reactions calculation can be explained with given input values -> 0.062881 = 100000*exp(-(5.67E-06+8.87E-05+3.45E-05)*3600).

FAQ

What is Concentration of Reactant A at Time t for Set of Three Parallel Reactions?

The Concentration of Reactant A at time t for Set of Three Parallel Reactions formula is defined as the amount of reactant present in the reacting system after an time interval of t and is represented as R_A = A₀*exp(-(k₁+k₂+k₃)*t) or Reactant A Concentration = Initial Concentration of Reactant A*exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time). Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0, 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 & 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.

How to calculate Concentration of Reactant A at Time t for Set of Three Parallel Reactions?

The Concentration of Reactant A at time t for Set of Three Parallel Reactions formula is defined as the amount of reactant present in the reacting system after an time interval of t is calculated using Reactant A Concentration = Initial Concentration of Reactant A*exp(-(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Time). To calculate Concentration of Reactant A at Time t for Set of Three Parallel Reactions, you need Initial Concentration of Reactant A (A₀), Reaction Rate Constant 1 (k₁), Reaction Rate Constant 2 (k₂), Rate Constant of Reaction 3 (k₃) & Time (t). With our tool, you need to enter the respective value for Initial Concentration of Reactant A, Reaction Rate Constant 1, Reaction Rate Constant 2, Rate Constant of Reaction 3 & Time 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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