(D) For a first-order reaction,the rate constant $k$ is given by: $k = \frac{2.303}{t} \log \frac{[A]_0}{[A]_t}$ $k = \frac{2.303}{40} \log \frac{0.1}

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

$7.50 \times 10^{-4} \, M \, min^{-1}$

(D) For a first-order reaction,the rate constant $k$ is given by: $k = \frac{2.303}{t} \log \frac{[A]_0}{[A]_t}$ $k = \frac{2.303}{40} \log \frac{0.1}{0.005} = \frac{2.303}{40} \log 20$ $k = \frac{2.303 \times 1.3010}{40} \approx 0.0749 \, min^{-1}$ Now,the rate of reaction is given by: $Rate = k[X] = 0.0749 \times 0.01$ $Rate = 7.49 \times 10^{-4} \, M \, min^{-1} \approx 7.50 \times 10^{-4} \, M \, min^{-1}$

Class 12 Chemistry Chemical Kinetics First Order reaction

Difficult

In a first-order reaction,the concentration of reactant $X$ decreases from $0.1 \, M$ to $0.005 \, M$ in $40 \, min$. What will be the rate of reaction when the concentration of $X$ is $0.01 \, M$?

A
$1.73 \times 10^{-4} \, M \, min^{-1}$
B
$3.74 \times 10^{-4} \, M \, min^{-1}$
C
$3.47 \times 10^{-5} \, M \, min^{-1}$
D
$7.50 \times 10^{-4} \, M \, min^{-1}$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Chemistry Questions

Chapter

Chemical Kinetics

Subtopic

First Order reaction

The half-life period of a first order reaction is $100 \, \text{sec}$. The rate constant of the reaction is

Medium

View Solution

For a homogeneous gaseous reaction $A_{(g)} \to 3B_{(g)}$,if the pressure after time $t$ is $P_t$ and after completion of the reaction the pressure is $P_\infty$,select the correct relation for the rate constant $K$.

Difficult

View Solution

In the reaction $2N_2O_5 \to 4NO_2 + O_2$,the initial pressure is $500 \ atm$ and the rate constant $K$ is $3.38 \times 10^{-5} \ s^{-1}$. After $10 \ minutes$,the final pressure of $N_2O_5$ is ........ $atm$.

Medium

View Solution

An organic compound undergoes first-order decomposition. The time taken for its decomposition to $1/8$ and $1/10$ of its initial concentration are $t_{1/8}$ and $t_{1/10}$ respectively. What is the value of $\frac{t_{1/8}}{t_{1/10}} \times 10$? (Given: $\log_{10} 2 = 0.3$)

IIT 2012

View Solution

Which of the following is an example of a first-order reaction?

MediumMHT CET 2025

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

In a first-order reaction,the concentration of reactant $X$ decreases from $0.1 \, M$ to $0.005 \, M$ in $40 \, min$. What will be the rate of reaction when the concentration of $X$ is $0.01 \, M$?

Similar Questions

The half-life period of a first order reaction is $100 \, \text{sec}$. The rate constant of the reaction is

For a homogeneous gaseous reaction $A_{(g)} \to 3B_{(g)}$,if the pressure after time $t$ is $P_t$ and after completion of the reaction the pressure is $P_\infty$,select the correct relation for the rate constant $K$.

In the reaction $2N_2O_5 \to 4NO_2 + O_2$,the initial pressure is $500 \ atm$ and the rate constant $K$ is $3.38 \times 10^{-5} \ s^{-1}$. After $10 \ minutes$,the final pressure of $N_2O_5$ is ........ $atm$.

An organic compound undergoes first-order decomposition. The time taken for its decomposition to $1/8$ and $1/10$ of its initial concentration are $t_{1/8}$ and $t_{1/10}$ respectively. What is the value of $\frac{t_{1/8}}{t_{1/10}} \times 10$? (Given: $\log_{10} 2 = 0.3$)

Which of the following is an example of a first-order reaction?

Vedclass Test Series

Exam Paper Generator

Online Exam Module