(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 $

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Chemistry Questions

Chapter

Chemical Kinetics

Subtopic

First Order reaction

For a first order reaction,show that the time required for $99 \%$ completion is twice the time required for the completion of $90 \%$ of the reaction.

Medium

View Solution

Half-life and rate constant for a first-order reaction are related by the equation:

EasyMHT CET 2021

View Solution

For a first order reaction, the half-life is $5 \text{ hour}$. What time is required to reduce $10 \text{ g}$ of reactant to $2.5 \text{ g}$ (in $\text{ hour}$)?

DifficultMHT CET 2026

View Solution

For a first-order reaction,the half-life period is $69.3 \ s$. If the concentration of the reactant is $0.10 \ mol \ L^{-1}$,what will be the rate of the reaction?

Medium

View Solution

Consider the following two first order reactions occurring at $298 \ K$ with same initial concentration of $A$: $(1)$ $A \rightarrow B$; rate constant, $k=0.693 \ min^{-1}$ $(2)$ $A \rightarrow C$; half-life, $t_{1/2}=0.693 \ min$. Choose the correct option.

MediumWBJEE 2019

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The half-life of a first-order reaction is

Similar Questions

For a first order reaction,show that the time required for $99 \%$ completion is twice the time required for the completion of $90 \%$ of the reaction.

Half-life and rate constant for a first-order reaction are related by the equation:

For a first order reaction, the half-life is $5 \text{ hour}$. What time is required to reduce $10 \text{ g}$ of reactant to $2.5 \text{ g}$ (in $\text{ hour}$)?

For a first-order reaction,the half-life period is $69.3 \ s$. If the concentration of the reactant is $0.10 \ mol \ L^{-1}$,what will be the rate of the reaction?

Consider the following two first order reactions occurring at $298 \ K$ with same initial concentration of $A$: $(1)$ $A \rightarrow B$; rate constant, $k=0.693 \ min^{-1}$ $(2)$ $A \rightarrow C$; half-life, $t_{1/2}=0.693 \ min$. Choose the correct option.

Vedclass Test Series

Exam Paper Generator

Online Exam Module