Relaxation Time of Reversible First Order Calculator

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Zero Order Reaction

✖The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.ⓘ Forward Rate Constant [k_f]			+10% -10%
✖Rate constant of backward first order is the constant of the backward first order reaction.ⓘ Rate Constant of Backward First Order [K]			+10% -10%

✖Relaxation time of Reversible First Order is the time in which deviation in the conc. of reactant from equillibrium conc. after time becomes 1/e times of the initial conc. in the conc. of reactant.ⓘ Relaxation Time of Reversible First Order [ζ]

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Relaxation Time of Reversible First Order

Formula

`"ζ" = 1/("k"_{"f"}+"K")`

Example

`"0.077519s"=1/("6.9s⁻¹"+"6s⁻¹")`

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Relaxation Time of Reversible First Order Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relaxation Time of Reversible First Order = 1/(Forward Rate Constant+Rate Constant of Backward First Order)
ζ = 1/(k_f+K)
This formula uses 3 Variables

Variables Used

Relaxation Time of Reversible First Order - (Measured in Second) - Relaxation time of Reversible First Order is the time in which deviation in the conc. of reactant from equillibrium conc. after time becomes 1/e times of the initial conc. in the conc. of reactant.
Forward Rate Constant - (Measured in 1 Per Second) - The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.
Rate Constant of Backward First Order - (Measured in 1 Per Second) - Rate constant of backward first order is the constant of the backward first order reaction.

STEP 1: Convert Input(s) to Base Unit

Forward Rate Constant: 6.9 1 Per Second --> 6.9 1 Per Second No Conversion Required
Rate Constant of Backward First Order: 6 1 Per Second --> 6 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = 1/(k_f+K) --> 1/(6.9+6)

Evaluating ... ...

ζ = 0.0775193798449612

STEP 3: Convert Result to Output's Unit

0.0775193798449612 Second --> No Conversion Required

FINAL ANSWER

0.0775193798449612 ≈ 0.077519 Second <-- Relaxation Time of Reversible First Order

(Calculation completed in 00.004 seconds)

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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

Relaxation Time of Reversible First Order Formula

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

What is Relaxation Time?

Relaxation time is the time it takes for X0 to decrease to X0/2.718. In other words, it is the time in which the relaxation process carries the system a fraction 1/e toward the equilibrium position. Thus, τ is a time interval like the half-life t1/2.

How to Calculate Relaxation Time of Reversible First Order?

Relaxation Time of Reversible First Order calculator uses Relaxation Time of Reversible First Order = 1/(Forward Rate Constant+Rate Constant of Backward First Order) to calculate the Relaxation Time of Reversible First Order, Relaxation time of reversible first order opposing first order is the time in which deviation in the conc. of reactant from equillibrium conc. after time becomes 1/e times of the initial conc. in the conc. of reactant. Relaxation Time of Reversible First Order is denoted by ζ symbol.

How to calculate Relaxation Time of Reversible First Order using this online calculator? To use this online calculator for Relaxation Time of Reversible First Order, enter Forward Rate Constant (k_f) & Rate Constant of Backward First Order (K) and hit the calculate button. Here is how the Relaxation Time of Reversible First Order calculation can be explained with given input values -> 0.077519 = 1/(6.9+6).

FAQ

What is Relaxation Time of Reversible First Order?

Relaxation time of reversible first order opposing first order is the time in which deviation in the conc. of reactant from equillibrium conc. after time becomes 1/e times of the initial conc. in the conc. of reactant and is represented as ζ = 1/(k_f+K) or Relaxation Time of Reversible First Order = 1/(Forward Rate Constant+Rate Constant of Backward First Order). The Forward Rate Constant is defined as the rate constant for the forward occurring reaction & Rate constant of backward first order is the constant of the backward first order reaction.

How to calculate Relaxation Time of Reversible First Order?

Relaxation time of reversible first order opposing first order is the time in which deviation in the conc. of reactant from equillibrium conc. after time becomes 1/e times of the initial conc. in the conc. of reactant is calculated using Relaxation Time of Reversible First Order = 1/(Forward Rate Constant+Rate Constant of Backward First Order). To calculate Relaxation Time of Reversible First Order, you need Forward Rate Constant (k_f) & Rate Constant of Backward First Order (K). With our tool, you need to enter the respective value for Forward Rate Constant & Rate Constant of Backward First Order 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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