(A) For a $1^{st}$ order reaction,the rate constant $k$ is given by $k = \frac{0.693}{t_{1/2}}$.Thus,the half-life $t_{1/2} = \frac{0.693}{k}$.Since $

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Independent of the initial concentration of the reactant

(A) For a $1^{st}$ order reaction,the rate constant $k$ is given by $k = \frac{0.693}{t_{1/2}}$.Thus,the half-life $t_{1/2} = \frac{0.693}{k}$.Since $k$ is a constant,$t_{1/2}$ is independent of the initial concentration of the reactant $[R]_0$.

Class 12 Chemistry Chemical Kinetics First Order reaction

Easy

The half-life of a first-order reaction is

A
Independent of the initial concentration of the reactant
B
Directly proportional to the initial concentration of the reactants
C
Inversely proportional to the initial concentration of the reactant
D
Directly proportional to the square of the initial concentration of the reactant

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Class 12 Questions

Class 12

Chemistry Questions

Chapter

Chemical Kinetics

Subtopic

First Order reaction

Derive the half-life $t_{1/2}$ of a first-order reaction.

Difficult

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$A$ first order reaction which is $30\%$ complete in $30 \ min$ has a half-life period of .............. $min.$ (in $.2$)

MediumAIIMS 1998

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For a first order reaction $A_5 \rightarrow 5 B_2$,the concentration vs time plot is as shown. The half-life of the reaction is

EasyAP EAMCET 2020

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$A$ first order reaction undergoes $50\,\%$ completion in $50\, min$,then it undergoes $80\, \%$ completion in ........... $min$

Medium

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If the time required for $90\%$ completion of a first-order reaction is '$t$', what is the time required for $99.9\%$ completion of the reaction at the same temperature?

DifficultMHT CET 2026

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The half-life of a first-order reaction is

Similar Questions

Derive the half-life $t_{1/2}$ of a first-order reaction.

$A$ first order reaction which is $30\%$ complete in $30 \ min$ has a half-life period of .............. $min.$ (in $.2$)

For a first order reaction $A_5 \rightarrow 5 B_2$,the concentration vs time plot is as shown. The half-life of the reaction is

$A$ first order reaction undergoes $50\,\%$ completion in $50\, min$,then it undergoes $80\, \%$ completion in ........... $min$

If the time required for $90\%$ completion of a first-order reaction is '$t$', what is the time required for $99.9\%$ completion of the reaction at the same temperature?

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