Average Time of Completion for First Order Reaction Calculator

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First Order Reaction

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✖The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order Reaction [k_first]

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✖The average time is defined as the rate of change of concentration per unit average rate of the reaction.ⓘ Average Time of Completion for First Order Reaction [t_avg]

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Formula

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Average Time of Completion for First Order Reaction

Formula

`"t"_{"avg"} = 1/"k"_{"first"}`

Example

`"1.923073s"=1/"0.520001s⁻¹"`

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Average Time of Completion for First Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average time = 1/Rate Constant for First Order Reaction
t_avg = 1/k_first
This formula uses 2 Variables

Variables Used

Average time - (Measured in Second) - The average time is defined as the rate of change of concentration per unit average rate of the reaction.
Rate Constant for First Order Reaction - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

STEP 1: Convert Input(s) to Base Unit

Rate Constant for First Order Reaction: 0.520001 1 Per Second --> 0.520001 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_avg = 1/k_first --> 1/0.520001

Evaluating ... ...

t_avg = 1.92307322485918

STEP 3: Convert Result to Output's Unit

1.92307322485918 Second --> No Conversion Required

FINAL ANSWER

1.92307322485918 ≈ 1.923073 Second <-- Average time

(Calculation completed in 00.004 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai

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National Institute of Information Technology (NIIT), Neemrana

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< 18 First Order Reaction Calculators

Graphical Representation of Time for Completion

Go Time for completion = (2.303/Rate Constant for First Order Reaction)*log10(Initial Concentration for First Order Reaction)-(2.303/Rate Constant for First Order Reaction)*log10(Concentration at Time t)

Temperature in Arrhenius Equation for First Order Reaction

Go Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction)))

Rate Constant for First Order Reaction from Arrhenius Equation

Go Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))

Arrhenius Constant for First Order Reaction

Go Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))

Activation Energy for First Order Reaction

Go Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction))

Time for Completion for First Order given Rate Constant and Initial Concentration

Go Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t)

Rate Constant of First Order Reaction using Logarithm to base 10

Go Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t)

Time for Completion of First Order Reaction

Go Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A)

Time for Completion by Titration Method for First Order Reaction

Go Time for completion = (2.303/Rate Constant for First Order Reaction)*log10(Initial Reactant Volume/Volume at Time t)

Rate Constant by Titration Method for First Order Reaction

Go Rate Constant for First Order Reaction = (2.303/Time for completion)*log10(Initial Reactant Volume/Volume at Time t)

Relaxation Time of Reversible First Order

Go Relaxation Time of Reversible First Order = 1/(Forward Rate Constant+Rate Constant of Backward First Order)

Quarter Life of First Order Reaction

Go Quarter Life of First Order Reaction = ln(4)/Rate Constant for First Order Reaction

Rate Constant at Half Time for First Order Reaction

Go Rate Constant for First Order Reaction = 0.693/Half Time

Half Time Completion of First Order Reaction

Go Half Time = 0.693/Rate Constant for First Order Reaction

Average Time of Completion for First Order Reaction

Go Average time = 1/Rate Constant for First Order Reaction

Rate constant given average time

Go Rate Constant for First Order Reaction = 1/Average time

Half Time for Completion given Average Time

Go Half Time = Average time/1.44

Average Time of Completion given Half Time

Go Average time = 1.44*Half Time

Average Time of Completion for First Order Reaction Formula

Average time = 1/Rate Constant for First Order Reaction
t_avg = 1/k_first

What is first-order reaction?

In the first-order reaction, the rate of reaction is proportional to the first power of the concentration of the reactant. The concentration of the reactant in the first-order reaction decreases exponentially with time.

How to Calculate Average Time of Completion for First Order Reaction?

Average Time of Completion for First Order Reaction calculator uses Average time = 1/Rate Constant for First Order Reaction to calculate the Average time, The Average time of completion for first order reaction formula is defined as the time for the reaction that is inversely proportional to the rate constant of the reaction. Average time is denoted by t_avg symbol.

How to calculate Average Time of Completion for First Order Reaction using this online calculator? To use this online calculator for Average Time of Completion for First Order Reaction, enter Rate Constant for First Order Reaction (k_first) and hit the calculate button. Here is how the Average Time of Completion for First Order Reaction calculation can be explained with given input values -> 1.923073 = 1/0.520001.

FAQ

What is Average Time of Completion for First Order Reaction?

The Average time of completion for first order reaction formula is defined as the time for the reaction that is inversely proportional to the rate constant of the reaction and is represented as t_avg = 1/k_first or Average time = 1/Rate Constant for First Order Reaction. The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

How to calculate Average Time of Completion for First Order Reaction?

The Average time of completion for first order reaction formula is defined as the time for the reaction that is inversely proportional to the rate constant of the reaction is calculated using Average time = 1/Rate Constant for First Order Reaction. To calculate Average Time of Completion for First Order Reaction, you need Rate Constant for First Order Reaction (k_first). With our tool, you need to enter the respective value for Rate Constant for First Order Reaction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Average time?

In this formula, Average time uses Rate Constant for First Order Reaction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average time = 1.44*Half Time

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