Calculate the rate constant of the first order reaction if $80 \%$ of the reactant reacted in $15 \ minute$.

Which of the following is the correct equation for a first-order reaction?

$A_{(g)} \rightarrow B_{(g)} + C_{(g)}$ is a first order reaction.

Time	$t$	$\infty$
$P_{\text{system}}$	$P_t$	$P_{\infty}$

The reaction was started with reactant $A$ only. Which of the following expressions is correct for the rate constant $k$?

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

The decomposition of benzene diazonium chloride is a first order reaction. The time taken for the decomposition of $\frac{1}{4}$ and $\frac{1}{10}$ of its initial concentration are $t_{1/4}$ and $t_{1/10}$ respectively. The value of $\frac{t_{1/4}}{t_{1/10}} \times 100$ is (Given: $\log 2 = 0.3, \log 3 = 0.477$)

Show that in a first order reaction,the time required for completion of $99.9 \%$ is $10$ times the half-life $(t_{1/2})$ of the reaction.