(B) For a first-order reaction,the rate constant $k$ is given by $k = \frac{0.693}{t_{1/2}}$.Substituting the given value: $k = \frac{0.693}{69.3 \ s}

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$10^{-3} \ mol \ L^{-1} \ s^{-1}$

(B) For a first-order reaction,the rate constant $k$ is given by $k = \frac{0.693}{t_{1/2}}$.Substituting the given value: $k = \frac{0.693}{69.3 \ s} = 0.01 \ s^{-1} = 10^{-2} \ s^{-1}$.The rate of reaction $r$ is given by $r = k[A]$.Substituting the values: $r = (10^{-2} \ s^{-1}) \times (0.10 \ mol \ L^{-1}) = 10^{-3} \ mol \ L^{-1} \ s^{-1}$.

Class 12 Chemistry Chemical Kinetics First Order reaction

Medium

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?

A
$10^{-4} \ mol \ L^{-1} \ s^{-1}$
B
$10^{-3} \ mol \ L^{-1} \ s^{-1}$
C
$10^{-1} \ mol \ L^{-1} \ s^{-1}$
D
$6.93 \times 10^{-1} \ mol \ L^{-1} \ s^{-1}$

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Chemical Kinetics

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First Order reaction

For any reaction,if we plot a graph between time $t$ and $\log (a - x)$,a straight line is obtained. The order of reaction is

Easy

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For a first order reaction $A \to \text{products}$,the concentration of $[A]$ is reduced from $2 \ M$ to $0.125 \ M$ in one hour. The $t_{1/2}$ of this reaction (in $\text{min}$) is:

Medium

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For a first-order gas-phase reaction $A(g) \to B(g) + C(g)$,let $p_i$ be the initial pressure of gas $A$ and $p_t$ be the total pressure of the reaction mixture at time $t$. The expression for the rate constant $(k)$ is:

DifficultJEE MAIN 2026

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For the first-order reaction $2N_2O_{5(g)} \rightarrow 4NO_{2(g)} + O_{2(g)}$,which of the following statements is incorrect?

Medium

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The half-life values for two different first-order reactions $A$ and $B$ are $75 \ min$ and $2.5 \ h$ respectively. What is the ratio of their rate constants $\frac{k_A}{k_B}$?

MediumMHT CET 2025

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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?

Similar Questions

For any reaction,if we plot a graph between time $t$ and $\log (a - x)$,a straight line is obtained. The order of reaction is

For a first order reaction $A \to \text{products}$,the concentration of $[A]$ is reduced from $2 \ M$ to $0.125 \ M$ in one hour. The $t_{1/2}$ of this reaction (in $\text{min}$) is:

For a first-order gas-phase reaction $A(g) \to B(g) + C(g)$,let $p_i$ be the initial pressure of gas $A$ and $p_t$ be the total pressure of the reaction mixture at time $t$. The expression for the rate constant $(k)$ is:

For the first-order reaction $2N_2O_{5(g)} \rightarrow 4NO_{2(g)} + O_{2(g)}$,which of the following statements is incorrect?

The half-life values for two different first-order reactions $A$ and $B$ are $75 \ min$ and $2.5 \ h$ respectively. What is the ratio of their rate constants $\frac{k_A}{k_B}$?

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