(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

If the decomposition reaction $A_{(g)} \to B_{(g)}$ follows first-order kinetics,then the graph of the rate of formation $(R)$ of $B$ against time $t$ will be:

Medium

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For the decomposition of azoisopropane to hexane and nitrogen at $543 \ K,$ the following data are obtained.

$t \ (sec)$ $P \ (mm \ of \ Hg)$

$0$ $35.0$

$360$ $54.0$

$720$ $63.0$

Calculate the rate constant.

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$75\%$ of a first order reaction was completed in $32$ minutes. When was $50\%$ of the reaction completed? ......... $\min$

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The rate constant of a first order reaction whose half-life is $480 \ s$,is

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The value of rate constant for a first order reaction is $2.303 \times 10^{-2} \text{ s}^{-1}$. What will be the time required to reduce the concentration to $\frac{1}{10}$th of its initial concentration (in $\text{ s}$)?

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$t \ (sec)$	$P \ (mm \ of \ Hg)$
$0$	$35.0$
$360$	$54.0$
$720$	$63.0$

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

If the decomposition reaction $A_{(g)} \to B_{(g)}$ follows first-order kinetics,then the graph of the rate of formation $(R)$ of $B$ against time $t$ will be:

For the decomposition of azoisopropane to hexane and nitrogen at $543 \ K,$ the following data are obtained. $t \ (sec)$ $P \ (mm \ of \ Hg)$ $0$ $35.0$ $360$ $54.0$ $720$ $63.0$ Calculate the rate constant.

$75\%$ of a first order reaction was completed in $32$ minutes. When was $50\%$ of the reaction completed? ......... $\min$

The rate constant of a first order reaction whose half-life is $480 \ s$,is

The value of rate constant for a first order reaction is $2.303 \times 10^{-2} \text{ s}^{-1}$. What will be the time required to reduce the concentration to $\frac{1}{10}$th of its initial concentration (in $\text{ s}$)?

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For the decomposition of azoisopropane to hexane and nitrogen at $543 \ K,$ the following data are obtained.

$t \ (sec)$ $P \ (mm \ of \ Hg)$

$0$ $35.0$

$360$ $54.0$

$720$ $63.0$

Calculate the rate constant.