(C) For a first order reaction, the integrated rate equation is given by:$k = \frac{2.303}{t} \log \frac{[R]_0}{[R]}$Given: $k = 60 \text{ s}^{-1}$ an

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

(C) For a first order reaction, the integrated rate equation is given by:$k = \frac{2.303}{t} \log \frac{[R]_0}{[R]}$Given: $k = 60 \text{ s}^{-1}$ and $[R] = \frac{[R]_0}{20}$, so $\frac{[R]_0}{[R]} = 20$.Substituting the values:$60 = \frac{2.303}{t} \log(20)$$t = \frac{2.303}{60} \times \log(20)$Since $\log(20) = \log(2 \times 10) = \log(2) + \log(10) = 0.3010 + 1 = 1.3010$.$t = \frac{2.303 \times 1.3010}{60}$$t = \frac{2.9962}{60} \approx 0.0499 \text{ s}$.

Class 12 Chemistry Chemical Kinetics First Order reaction

Difficult

The rate constant for a first order reaction is $60 \text{ s}^{-1}$. How much time will it take to reduce the concentration of the reactant to $1/20^{th}$ of its initial value (in $\text{ s}$)?

MHT CET 2026 All MHT CET

A
$0.0529$
B
$0.0852$
C
$0.0499$
D
$0.0357$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Chemistry Questions

Chapter

Chemical Kinetics

Subtopic

First Order reaction

Previous Year

MHT CET 2026 Paper All MHT CET years →

For the first-order isomerization reaction $A \rightarrow B$,the rate constant is $4.5 \times 10^{-3} \ min^{-1}$. If the initial concentration of $A$ is $1 \ M$,find the rate of the reaction after $1 \ hour$.

Difficult

View Solution

The half-life period $t_{1/2}$ for a first-order reaction is given by:

Easy

View Solution

For the reaction $A \to B$,the rate law expression is: $\text{Rate} = k[A]$. Which of the following statements is incorrect?

Easy

View Solution

For a first order reaction $A \to B$,the reaction rate at reactant concentration of $0.01 \ M$ is found to be $2.0 \times 10^{-5} \ mol \ L^{-1} \ s^{-1}$. The half-life period of the reaction is .......... $sec$.

EasyAIPMT 2005

View Solution

Calculate the rate constant of a first order reaction if the half-life of the reaction is $40 \ minute$.

MediumMHT CET 2023

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 rate constant for a first order reaction is $60 \text{ s}^{-1}$. How much time will it take to reduce the concentration of the reactant to $1/20^{th}$ of its initial value (in $\text{ s}$)?

Similar Questions

For the first-order isomerization reaction $A \rightarrow B$,the rate constant is $4.5 \times 10^{-3} \ min^{-1}$. If the initial concentration of $A$ is $1 \ M$,find the rate of the reaction after $1 \ hour$.

The half-life period $t_{1/2}$ for a first-order reaction is given by:

For the reaction $A \to B$,the rate law expression is: $\text{Rate} = k[A]$. Which of the following statements is incorrect?

For a first order reaction $A \to B$,the reaction rate at reactant concentration of $0.01 \ M$ is found to be $2.0 \times 10^{-5} \ mol \ L^{-1} \ s^{-1}$. The half-life period of the reaction is .......... $sec$.

Calculate the rate constant of a first order reaction if the half-life of the reaction is $40 \ minute$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module