Quarter Life of First Order Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Quarter Life of First Order Reaction = ln(4)/Rate Constant for First Order Reaction
T1/4 = ln(4)/kfirst
This formula uses 1 Functions, 2 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Quarter Life of First Order Reaction - (Measured in Second) - Quarter Life of First Order Reaction is the time at which the concentration is one-fourth of the initial concentration.
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
T1/4 = ln(4)/kfirst --> ln(4)/0.520001
Evaluating ... ...
T1/4 = 2.66594556764293
STEP 3: Convert Result to Output's Unit
2.66594556764293 Second --> No Conversion Required
FINAL ANSWER
2.66594556764293 2.665946 Second <-- Quarter Life of First Order Reaction
(Calculation completed in 00.020 seconds)

Credits

Created by Pracheta Trivedi
National Institute Of Technology Warangal (NITW), Warangal
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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

Quarter Life of First Order Reaction Formula

Quarter Life of First Order Reaction = ln(4)/Rate Constant for First Order Reaction
T1/4 = ln(4)/kfirst

What is Quarter-Life of Reaction?

Quarter-life of reaction as the total time it takes for a reactant to reach one quarter (¼) of its original concentration.

What is First Order Reaction?

First-order reaction can be defined as a chemical reaction in which the reaction rate is linearly dependent on the concentration of only one reactant.

How to Calculate Quarter Life of First Order Reaction?

Quarter Life of First Order Reaction calculator uses Quarter Life of First Order Reaction = ln(4)/Rate Constant for First Order Reaction to calculate the Quarter Life of First Order Reaction, The Quarter life of First order reaction is the time at which concentration become one-fourth of the initial concentration. Quarter Life of First Order Reaction is denoted by T1/4 symbol.

How to calculate Quarter Life of First Order Reaction using this online calculator? To use this online calculator for Quarter Life of First Order Reaction, enter Rate Constant for First Order Reaction (kfirst) and hit the calculate button. Here is how the Quarter Life of First Order Reaction calculation can be explained with given input values -> 2.665951 = ln(4)/0.520001.

FAQ

What is Quarter Life of First Order Reaction?
The Quarter life of First order reaction is the time at which concentration become one-fourth of the initial concentration and is represented as T1/4 = ln(4)/kfirst or Quarter Life of First Order Reaction = ln(4)/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 Quarter Life of First Order Reaction?
The Quarter life of First order reaction is the time at which concentration become one-fourth of the initial concentration is calculated using Quarter Life of First Order Reaction = ln(4)/Rate Constant for First Order Reaction. To calculate Quarter Life of First Order Reaction, you need Rate Constant for First Order Reaction (kfirst). 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.
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