(C) For a first order reaction,the rate law is given by $r = k[A]$.Given: $r = 2.0 \times 10^{-5} \ M \ sec^{-1}$ and $[A] = 0.01 \ M$.Substituting th

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(C) For a first order reaction,the rate law is given by $r = k[A]$.Given: $r = 2.0 \times 10^{-5} \ M \ sec^{-1}$ and $[A] = 0.01 \ M$.Substituting the values: $2.0 \times 10^{-5} = k \times 0.01$.$k = \frac{2.0 \times 10^{-5}}{10^{-2}} = 2.0 \times 10^{-3} \ sec^{-1}$.The half-life period $t_{1/2}$ for a first order reaction is $t_{1/2} = \frac{0.693}{k}$.$t_{1/2} = \frac{0.693}{2.0 \times 10^{-3}} = 0.3465 \times 10^3 = 346.5 \ sec$.

Class 12 Chemistry Chemical Kinetics First Order reaction

Medium

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

A
$333$
B
$300$
C
$346.5$
D
$220$

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Chemical Kinetics

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First Order reaction

Calculate the rate constant of the first order reaction if $20 \%$ of the reactant decomposes in $15 \ minutes$.

MediumMHT CET 2023

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The thermal decomposition of a molecule follows a first-order reaction. The molecule decomposes $50\%$ in $120 \text{ minutes}$. How many minutes will it take for $90\%$ decomposition?

Difficult

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$A$ reaction which is of first order with respect to reactant $A$,has a rate constant $6 \, min^{-1}$. If we start with $[A] = 0.5 \, mol \, L^{-1}$,when would $[A]$ reach the value of $0.05 \, mol \, L^{-1}$?

MediumAIIMS 2013

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Which of the following expressions is correct for a first-order reaction? $(CO)$ refers to the initial concentration of the reactant.

Easy

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What is the half-life of a first-order reaction if the time required to decrease the concentration of the reactant from $0.4 \ M$ to $0.1 \ M$ is $x \ \text{hours}$?

MediumMHT CET 2025

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

Similar Questions

Calculate the rate constant of the first order reaction if $20 \%$ of the reactant decomposes in $15 \ minutes$.

The thermal decomposition of a molecule follows a first-order reaction. The molecule decomposes $50\%$ in $120 \text{ minutes}$. How many minutes will it take for $90\%$ decomposition?

$A$ reaction which is of first order with respect to reactant $A$,has a rate constant $6 \, min^{-1}$. If we start with $[A] = 0.5 \, mol \, L^{-1}$,when would $[A]$ reach the value of $0.05 \, mol \, L^{-1}$?

Which of the following expressions is correct for a first-order reaction? $(CO)$ refers to the initial concentration of the reactant.

What is the half-life of a first-order reaction if the time required to decrease the concentration of the reactant from $0.4 \ M$ to $0.1 \ M$ is $x \ \text{hours}$?

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