Hard Practice — Advanced Set

Quick Recap — Multi-step Kinetics (Hard)

• First order: $k=\dfrac{2.303}{t}\log\dfrac{[A]_0}{[A]}$; $t_{1/2}=\dfrac{0.693}{k}$; time for $x$% $=$ (that many) half-lives.
• Zero order: $[A]=[A]_0-kt$; second order: $t_{1/2}=\dfrac{1}{k[A]_0}$.
• Arrhenius: $\log\dfrac{k_2}{k_1}=\dfrac{E_a}{2.303R}\left(\dfrac{1}{T_1}-\dfrac{1}{T_2}\right)$; $R=8.314$ J/mol$\cdot$K.
• Temperature coefficient $n$ over $\Delta T$: rate factor $=n^{\Delta T/10}$.