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Concentration of Product C in Set of Three Parallel Reactions Formula

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The Concentration of C at time t is defined as the amount of substance C present in the reacting system at time t. Check FAQs

C = \frac{k 2}{k 1 + k 2 + k 3} \cdot A 0 \cdot (1 - \exp (- (k 1 + k 2 + k 3) \cdot t))

C - Concentration of C at time t?k₂ - Reaction Rate Constant 2?k₁ - Reaction Rate Constant 1?k₃ - Rate Constant of Reaction 3?A₀ - Initial Concentration of Reactant A?t - Time?

Concentration of Product C in Set of Three Parallel Reactions Example

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Here is how the Concentration of Product C in Set of Three Parallel Reactions equation looks like with Values.

Here is how the Concentration of Product C in Set of Three Parallel Reactions equation looks like with Units.

Here is how the Concentration of Product C in Set of Three Parallel Reactions equation looks like.

25.5489 = \frac{8.9E-5}{5.7E-6 + 8.9E-5 + 3.5E-5} \cdot 100 \cdot (1 - \exp (- (5.7E-6 + 8.9E-5 + 3.5E-5) \cdot 3600))

25.5489mol/L = \frac{8.9E-5s⁻¹}{5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹} \cdot 100mol/L \cdot (1 - \exp (- (5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹) \cdot 3600s))

25.5489 = \frac{8.9E-5}{5.7E-6 + 8.9E-5 + 3.5E-5} \cdot 100 \cdot (1 - \exp (- (5.7E-6 + 8.9E-5 + 3.5E-5) \cdot 3600))

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Concentration of Product C in Set of Three Parallel Reactions Solution

Follow our step by step solution on how to calculate Concentration of Product C in Set of Three Parallel Reactions?

FIRST Step Consider the formula

C = \frac{k 2}{k 1 + k 2 + k 3} \cdot A 0 \cdot (1 - \exp (- (k 1 + k 2 + k 3) \cdot t))

Next Step Substitute values of Variables

∴

C = \frac{8.9E-5s⁻¹}{5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹} \cdot 100mol/L \cdot (1 - \exp (- (5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹) \cdot 3600s))

Next Step Convert Units

∴

C = \frac{8.9E-5s⁻¹}{5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹} \cdot 100000mol/m³ \cdot (1 - \exp (- (5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹) \cdot 3600s))

Next Step Prepare to Evaluate

∴

C = \frac{8.9E-5}{5.7E-6 + 8.9E-5 + 3.5E-5} \cdot 100000 \cdot (1 - \exp (- (5.7E-6 + 8.9E-5 + 3.5E-5) \cdot 3600))

Next Step Evaluate

∴

C = 25548.9098623163mol/m³

Next Step Convert to Output's Unit

∴

C = 25.5489098623163mol/L

LAST Step Rounding Answer

∴

C = 25.5489mol/L

Concentration of Product C in Set of Three Parallel Reactions Formula Elements

Variables

Functions

Concentration of C at time t

The Concentration of C at time t is defined as the amount of substance C present in the reacting system at time t.

Symbol: C

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than -1.

Formulas to find Concentration of C at time t

Reaction Rate Constant 2

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.

Symbol: k₂

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than -1.

Formulas to find Reaction Rate Constant 2

Reaction Rate Constant 1

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.

Symbol: k₁

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than -1.

Formulas to find Reaction Rate Constant 1

Rate Constant of Reaction 3

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.

Symbol: k₃

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant of Reaction 3

Initial Concentration of Reactant A

Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.

Symbol: A₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Reactant A

Time

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.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than -1.

Formulas to find Time

exp

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

Syntax: exp(Number)

Other formulas in Kinetics for Set of Three Parallel Reactions category

Go Time taken for Set of Three Parallel Reactions

t = \frac{1}{k 1 + k 2 + k 3} \cdot \ln (\frac{A 0}{R A})

Go Rate Constant for Reaction A to B for Set of Three Parallel Reactions

k 1 = \frac{1}{t} \cdot \ln (\frac{A 0}{R A}) - (k 2 + k 3)

Go Rate Constant for Reaction A to C for Set of Three Parallel Reactions

k 2 = \frac{1}{t} \cdot \ln (\frac{A 0}{R A}) - (k 1 + k 3)

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

k 3 = \frac{1}{t} \cdot \ln (\frac{A 0}{R A}) - (k 1 + k 2)

How to Evaluate Concentration of Product C in Set of Three Parallel Reactions?

Concentration of Product C in Set of Three Parallel Reactions evaluator uses 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)) to evaluate the Concentration of C at time t, The Concentration of Product C in Set of Three Parallel Reactions formula is defined as the amount of product C that is formed in a interval of time t. Concentration of C at time t is denoted by C symbol.

How to evaluate Concentration of Product C in Set of Three Parallel Reactions using this online evaluator? To use this online evaluator for Concentration of Product C in Set of Three Parallel Reactions, enter Reaction Rate Constant 2 (k₂), Reaction Rate Constant 1 (k₁), Rate Constant of Reaction 3 (k₃), Initial Concentration of Reactant A (A₀) & Time (t) and hit the calculate button.

FAQs on Concentration of Product C in Set of Three Parallel Reactions

What is the formula to find Concentration of Product C in Set of Three Parallel Reactions?

The formula of Concentration of Product C in Set of Three Parallel Reactions is expressed as 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)). Here is an example- 0.025549 = 8.87E-05/(5.67E-06+8.87E-05+3.45E-05)*100000*(1-exp(-(5.67E-06+8.87E-05+3.45E-05)*3600)).

How to calculate Concentration of Product C in Set of Three Parallel Reactions?

With Reaction Rate Constant 2 (k₂), Reaction Rate Constant 1 (k₁), Rate Constant of Reaction 3 (k₃), Initial Concentration of Reactant A (A₀) & Time (t) we can find Concentration of Product C in Set of Three Parallel Reactions using the formula - 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)). This formula also uses Exponential Growth Function function(s).

Can the Concentration of Product C in Set of Three Parallel Reactions be negative?

Yes, the Concentration of Product C in Set of Three Parallel Reactions, measured in Molar Concentration can be negative.

Which unit is used to measure Concentration of Product C in Set of Three Parallel Reactions?

Concentration of Product C in Set of Three Parallel Reactions is usually measured using the Mole per Liter[mol/L] for Molar Concentration. Mole per Cubic Meter[mol/L], Mole per Cubic Millimeter[mol/L], Kilomole per Cubic Meter[mol/L] are the few other units in which Concentration of Product C in Set of Three Parallel Reactions can be measured.

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Concentration of Product C in Set of Three Parallel Reactions Formula

Concentration of Product C in Set of Three Parallel Reactions Example

Concentration of Product C in Set of Three Parallel Reactions Solution

Concentration of Product C in Set of Three Parallel Reactions Formula Elements

Other formulas in Kinetics for Set of Three Parallel Reactions category

How to Evaluate Concentration of Product C in Set of Three Parallel Reactions?

FAQs on Concentration of Product C in Set of Three Parallel Reactions

Variable Name