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Time taken for Set of Three Parallel Reactions Formula

GoTime taken to form Product B from Reactant A in Set of Three Parallel Reactions Formula

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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. Check FAQs

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

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

Time taken for Set of Three Parallel Reactions Example

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Here is how the Time taken for Set of Three Parallel Reactions equation looks like with Values.

Here is how the Time taken for Set of Three Parallel Reactions equation looks like with Units.

Here is how the Time taken for Set of Three Parallel Reactions equation looks like.

3899.4865 = \frac{1}{5.7E-6 + 8.9E-5 + 3.5E-5} \cdot \ln (\frac{100}{60.5})

3899.4865s = \frac{1}{5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹} \cdot \ln (\frac{100mol/L}{60.5mol/L})

3899.4865 = \frac{1}{5.7E-6 + 8.9E-5 + 3.5E-5} \cdot \ln (\frac{100}{60.5})

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Time taken for Set of Three Parallel Reactions Solution

Follow our step by step solution on how to calculate Time taken for Set of Three Parallel Reactions?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \frac{1}{5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹} \cdot \ln (\frac{100mol/L}{60.5mol/L})

Next Step Convert Units

∴

t = \frac{1}{5.7E-6s⁻¹ + 8.9E-5s⁻¹ + 3.5E-5s⁻¹} \cdot \ln (\frac{100000mol/m³}{60500mol/m³})

Next Step Prepare to Evaluate

∴

t = \frac{1}{5.7E-6 + 8.9E-5 + 3.5E-5} \cdot \ln (\frac{100000}{60500})

Next Step Evaluate

∴

t = 3899.4864666043s

LAST Step Rounding Answer

∴

t = 3899.4865s

Time taken for Set of Three Parallel Reactions Formula Elements

Variables

Functions

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

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

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

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

Reactant A Concentration

Reactant A Concentration is defined as the concentration of substance A after reacting for a given interval of time t.

Symbol: R_A

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than -1.

Formulas to find Reactant A Concentration

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Time

Go Time taken to form Product B from Reactant A in Set of Three Parallel Reactions

t = \frac{k 1}{k 1 + k 2 + k 3} \cdot A 0

Other formulas in Kinetics for Set of Three Parallel Reactions category

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)

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

R A = A 0 \cdot \exp (- (k 1 + k 2 + k 3) \cdot t)

How to Evaluate Time taken for Set of Three Parallel Reactions?

Time taken for Set of Three Parallel Reactions evaluator uses Time = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*ln(Initial Concentration of Reactant A/Reactant A Concentration) to evaluate the Time, The Time taken for Set of Three Parallel Reactions formula is defined as the interval of time required for the the reactant A to be reduced from it's initial concentration to it's present concentration. Time is denoted by t symbol.

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

FAQs on Time taken for Set of Three Parallel Reactions

What is the formula to find Time taken for Set of Three Parallel Reactions?

The formula of Time taken for Set of Three Parallel Reactions is expressed as Time = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*ln(Initial Concentration of Reactant A/Reactant A Concentration). Here is an example- 3899.486 = 1/(5.67E-06+8.87E-05+3.45E-05)*ln(100000/60500).

How to calculate Time taken for Set of Three Parallel Reactions?

With Reaction Rate Constant 1 (k₁), Reaction Rate Constant 2 (k₂), Rate Constant of Reaction 3 (k₃), Initial Concentration of Reactant A (A₀) & Reactant A Concentration (R_A) we can find Time taken for Set of Three Parallel Reactions using the formula - Time = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*ln(Initial Concentration of Reactant A/Reactant A Concentration). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Time?

Here are the different ways to Calculate Time-

Time=Reaction Rate Constant 1/(Reaction Rate Constant 1+Reaction Rate Constant 2+Rate Constant of Reaction 3)*Initial Concentration of Reactant A

Can the Time taken for Set of Three Parallel Reactions be negative?

Yes, the Time taken for Set of Three Parallel Reactions, measured in Time can be negative.

Which unit is used to measure Time taken for Set of Three Parallel Reactions?

Time taken for Set of Three Parallel Reactions is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time taken for Set of Three Parallel Reactions can be measured.

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Time taken for Set of Three Parallel Reactions Formula

​GoTime taken to form Product B from Reactant A in Set of Three Parallel Reactions Formula

Time taken for Set of Three Parallel Reactions Example

Time taken for Set of Three Parallel Reactions Solution

Time taken for Set of Three Parallel Reactions Formula Elements

Other Formulas to find Time

Other formulas in Kinetics for Set of Three Parallel Reactions category

How to Evaluate Time taken for Set of Three Parallel Reactions?

FAQs on Time taken for Set of Three Parallel Reactions

Variable Name

GoTime taken to form Product B from Reactant A in Set of Three Parallel Reactions Formula