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Quarter Life of First Order Reaction Calculator

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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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✖Quarter Life of First Order Reaction is the time at which the concentration is one-fourth of the initial concentration.ⓘ Quarter Life of First Order Reaction [T_1/4]

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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
T_1/4 = ln(4)/k_first
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

T_1/4 = ln(4)/k_first --> ln(4)/0.520001

Evaluating ... ...

T_1/4 = 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 00.004 seconds)

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Created by Pracheta Trivedi

National Institute Of Technology Warangal (NITW), Warangal

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< First Order Reaction Calculators

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

LaTeX 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

LaTeX 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

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

Half Time Completion of First Order Reaction

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

Quarter Life of First Order Reaction Formula

LaTeX Go

Quarter Life of First Order Reaction = ln(4)/Rate Constant for First Order Reaction
T_1/4 = ln(4)/k_first

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 T_1/4 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 (k_first) 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 T_1/4 = ln(4)/k_first 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 (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.

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