Give examples of first-order reactions.

(N/A) The following are examples of first-order reactions:
$1$. Hydrogenation of ethene:
$C_{2}H_{4(g)} + H_{2(g)} \rightarrow C_{2}H_{6(g)}$
$Rate = k[C_{2}H_{4}]$
$2$. All natural and artificial radioactive decay processes follow first-order kinetics.
$3$. Decomposition of $N_{2}O_{5}$:
$2N_{2}O_{5(g)} \rightarrow 4NO_{2(g)} + O_{2(g)}$
$Rate = k[N_{2}O_{5}]$
$4$. Decomposition of $SO_{2}Cl_{2}$:
$SO_{2}Cl_{2(g)} \rightarrow SO_{2(g)} + Cl_{2(g)}$
$Rate = k[SO_{2}Cl_{2}]$
$5$. Acid-catalyzed hydrolysis of sucrose (pseudo first-order):
$C_{12}H_{22}O_{11} + H_{2}O \xrightarrow{H^+} C_{6}H_{12}O_{6} + C_{6}H_{12}O_{6}$