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Time taken for Set of Two Parallel Reactions Formula

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Life Time for Parallel Reaction is defined as the average of the total time periods of separate reactions. Check FAQs

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

t_1/2av - Life Time for Parallel Reaction?k₁ - Reaction Rate Constant 1?k₂ - Reaction Rate Constant 2?A₀ - Initial Concentration of Reactant A?R_A - Reactant A Concentration?

Time taken for Set of Two Parallel Reactions Example

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

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

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

5325.0696 = \frac{1}{5.7E-6 + 8.9E-5} \cdot \ln (\frac{100}{60.5})

5325.0696s = \frac{1}{5.7E-6s⁻¹ + 8.9E-5s⁻¹} \cdot \ln (\frac{100mol/L}{60.5mol/L})

5325.0696 = \frac{1}{5.7E-6 + 8.9E-5} \cdot \ln (\frac{100}{60.5})

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Time taken for Set of Two Parallel Reactions Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t 1/2av = \frac{1}{5.7E-6s⁻¹ + 8.9E-5s⁻¹} \cdot \ln (\frac{100mol/L}{60.5mol/L})

Next Step Convert Units

∴

t 1/2av = \frac{1}{5.7E-6s⁻¹ + 8.9E-5s⁻¹} \cdot \ln (\frac{100000mol/m³}{60500mol/m³})

Next Step Prepare to Evaluate

∴

t 1/2av = \frac{1}{5.7E-6 + 8.9E-5} \cdot \ln (\frac{100000}{60500})

Next Step Evaluate

∴

t 1/2av = 5325.06962966298s

LAST Step Rounding Answer

∴

t 1/2av = 5325.0696s

Time taken for Set of Two Parallel Reactions Formula Elements

Variables

Functions

Life Time for Parallel Reaction

Life Time for Parallel Reaction is defined as the average of the total time periods of separate reactions.

Symbol: t_1/2av

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Life Time for Parallel Reaction

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

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 in Kinetics for Set of Two Parallel Reactions category

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

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

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

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

Go Concentration of Reactant A after time t in Set of Two Parallel Reactions

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

Go Initial Concentration of Reactant A for Set of Two Parallel Reactions

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

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

Time taken for Set of Two Parallel Reactions evaluator uses Life Time for Parallel Reaction = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2)*ln(Initial Concentration of Reactant A/Reactant A Concentration) to evaluate the Life Time for Parallel Reaction, The Time taken for Set of Two 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. Life Time for Parallel Reaction is denoted by t_1/2av symbol.

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

FAQs on Time taken for Set of Two Parallel Reactions

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

The formula of Time taken for Set of Two Parallel Reactions is expressed as Life Time for Parallel Reaction = 1/(Reaction Rate Constant 1+Reaction Rate Constant 2)*ln(Initial Concentration of Reactant A/Reactant A Concentration). Here is an example- 5325.07 = 1/(5.67E-06+8.87E-05)*ln(100000/60500).

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

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

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

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

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

Time taken for Set of Two 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 Two Parallel Reactions can be measured.

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Time taken for Set of Two Parallel Reactions Formula

Time taken for Set of Two Parallel Reactions Example

Time taken for Set of Two Parallel Reactions Solution

Time taken for Set of Two Parallel Reactions Formula Elements

Other formulas in Kinetics for Set of Two Parallel Reactions category

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

FAQs on Time taken for Set of Two Parallel Reactions

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