# Is rate constant related to half-life?

Table of Contents

## Is rate constant related to half-life?

We can see that the half-life of a first-order reaction is inversely proportional to the rate constant k. A fast reaction (shorter half-life) will have a larger k; a slow reaction (longer half-life) will have a smaller k.

## Is half-life of first order reaction constant?

The half-life of a reaction is the time required for a reactant to reach one-half its initial concentration or pressure. For a first-order reaction, the half-life is independent of concentration and constant over time.

## Why do first order reactions have constant half-life?

The best way to determine rate constant k in half-life of first order is to determine half-life by experimental data. The reason is half-life in first order order doesn’t depend on initial concentration.

## What is the relationship between the rate constant k for a first order reaction and half-life?

The half-life of a reaction is the time required for the reactant concentration to decrease to one-half its initial value. The half-life of a first-order reaction is a constant that is related to the rate constant for the reaction: t1/2 = 0.693/k.

## What is the half-life of zero order reaction?

The half-life equation for a zero-order reaction is t12=[A]02k t 1 2 = [ A ] 0 2 k .

## What is the relation between rate constant and half-life for first order reaction?

The half-life of a first-order reaction is a constant that is related to the rate constant for the reaction: t1/2 = 0.693/k.

## How do you calculate first-order rate?

First-Order Reactions A first-order reaction depends on the concentration of one reactant, and the rate law is: r=−dAdt=k[A] r = − dA dt = k [ A ] .

## Why does half-life remain constant?

Because radioactive decay is a first-order process, the time required for half of the nuclei in any sample of a radioactive isotope to decay is a constant, called the half-life of the isotope.

## What is half-life Cycle?

Half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay (change spontaneously into other nuclear species by emitting particles and energy), or, equivalently, the time interval required for the number of disintegrations per second of a radioactive …