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How to calculate the half life of a reaction

This article contains brief discussion about the half life of a reaction. This article covers the topics like definition of half life of reaction, how it is calculated, etc.

Chemical kinetics is a field of physical chemistry that studies the rate of chemical processes. Such investigations also allow us to comprehend the process through which the response happens. As a result, in chemical kinetics, we can also calculate the rate including a chemical reaction.

The reactions are categorised into two classes based on their kinetic properties:

a) homogeneous reactions, which occur totally in one phase; b) heterogeneous reactions, which occur in more than one phase whether the transformation occurs on a catalyst’s surface or the walls of a container.

Definition of half life of a reaction

The time it takes for a reactant’s concentration to be lowered to one-half of its starting concentration is referred to as the half-life of a reaction.

It is worth noting that the half-life is independent of the starting concentration. Pick any moment in a reaction and one half-life from that point is where the reactant concentration is 1/2. In a first-order reaction, the reactant concentration declines by 1/2 in each sequence of evenly spaced time periods, i.e. t1/2.

We can obtain equations for the half lives for reactions of various orders by substituting the values t=t1/2 and [A]=1/2[A]0into the integrated laws

Half life of zero order reaction

Half life of first order reaction

Half life of second order reaction

Calculation of half life of reaction

Zero order kinetics

The rate of a reaction in zero-order kinetics is independent of substrate concentration. To put it another way, increasing the amount of substrate does not increase the pace of the reaction. A zero-order reaction’s half-life is affected by both the starting concentration and the rate constant.

First order kinetics

The half-life depends solely on the reaction rate constant k. 

Kinetics of second order

The half-life of second-order reactions is affected by both the initial concentration and the rate constant.

Conclusion

The half-life of a radioactive substance is the time it takes for one-half of its atoms to decay. The half-life of carbon-14 can be used by scientists to estimate the age of organic things. They calculate how much of the carbon-14 has been converted. They can then use this information to calculate the age of a drug. It is difficult to anticipate the decay of a single radioactive atom. The half-life of an atom does not explain the precise length of time that each and every atom spends before disintegrating. Understanding the notion of a half-life will alter your reading habits and how you spend your time. It will explain why our occupations are becoming more specialised and provide insight into how we may compete more successfully in a highly competitive world. Knowing about half-lives is useful because it allows you to identify when a radioactive material sample is safe to handle. The rule is that a sample is safe when its radioactivity falls below detection levels. That happens after 10 half-lives.

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Frequently asked questions

Get answers to the most common queries related to the CBSE Class 11 Examination Preparation.

Give the definition of half life of a reaction in chemical kinetics.

Ans. A substance’s half-life is defined as the time it takes for its concentration to reduce to half of...Read full

What is the significance of half-life in determining pollution?

Ans. The half-life of a pesticide can be used to predict whether or not it will accumulate in the environment...Read full

Is half life of first order reaction depending upon the initial concentration of reactants?

Ans. No, half life of first order reaction does not depend on the initial concentration of reactants....Read full

Write the expression for the half life of second order and zero order reaction.

Ans. The expression of half life for zero order reaction is  ...Read full

What are the units of half life of a reaction?

Ans. the units of half life of a reaction is the same as the units of time.