\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{anupamabalaji} \pdfinfo{ /Title (ial-chem-unit-4-kinetics.pdf) /Creator (Cheatography) /Author (anupamabalaji) /Subject (IAL Chem Unit 4 Kinetics Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{IAL Chem Unit 4 Kinetics Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{anupamabalaji} via \textcolor{DarkBackground}{\uline{cheatography.com/213395/cs/46424/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}anupamabalaji \\ \uline{cheatography.com/anupamabalaji} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 22nd May, 2025.\\ Updated 22nd May, 2025.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{2} \begin{tabularx}{8.4cm}{x{3.04 cm} x{4.96 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Key Definitions}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Term}} & {\bf{Definition}} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Rate of Reaction & Change in concentration of a reactant or product per unit time. \tn % Row Count 4 (+ 3) % Row 2 \SetRowColor{LightBackground} Rate Equation & Rate = {\emph{k}} {[}A{]}\textasciicircum{}m\textasciicircum{} {[}B{]}\textasciicircum{}n\textasciicircum{} where m, n are the orders of the reaction. \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} Order of Reaction & The power to which the concentration of a reactant is raised in the rate law \tn % Row Count 11 (+ 4) % Row 4 \SetRowColor{LightBackground} Overall Order & The sum of the powers (orders) of all reactants in the rate equation. Order = m+n. \tn % Row Count 15 (+ 4) % Row 5 \SetRowColor{white} Half-life (t\textasciitilde{}₁⁄₂\textasciitilde{}) & Time taken for the concentration of a reactant to fall to half its value. \tn % Row Count 19 (+ 4) % Row 6 \SetRowColor{LightBackground} Rate Constant (k) & Proportionality constant in the rate equation; depends on temperature. \tn % Row Count 22 (+ 3) % Row 7 \SetRowColor{white} Activation Energy (Eₐ) & Minimum energy needed for a reaction to occur. \tn % Row Count 24 (+ 2) % Row 8 \SetRowColor{LightBackground} Adsorption & The binding of molecules to a surface (such as a catalyst), which increases reaction rate. \tn % Row Count 28 (+ 4) % Row 9 \SetRowColor{white} Desorption & The release of products from a catalyst surface after the reaction. \tn % Row Count 31 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Arrhenius Equation}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/anupamabalaji_1747907770_Arrhenius-equation.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{k=Ae\textasciicircum{}E\textasciitilde{}a\textasciitilde{}/RT\textasciicircum{} \newline Where \newline k = Chemical Reaction Rate \newline A = Pre-exponential factor \newline E\textasciitilde{}a\textasciitilde{} = Activation Energy \newline R = Gas Constant \newline T = Temperature in Kelvin} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.52 cm} x{2.888 cm} x{3.192 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{8.4cm}}{\bf\textcolor{white}{Mechanisms: SN1 vs SN2}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Feature}} & {\bf{SN1}} & {\bf{SN2}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Steps & 2 steps (carbocation formed) & 1 step (simultaneous attack/leave) \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} \seqsplit{Reactivity} & Tertiary haloalkanes & Primary haloalkanes \tn % Row Count 7 (+ 2) % Row 3 \SetRowColor{white} Rate Law & rate = k{[}haloalkane{]} & rate = k{[}haloalkane{]}{[}Nu⁻{]} \tn % Row Count 9 (+ 2) % Row 4 \SetRowColor{LightBackground} Steric \seqsplit{Hindrance} & Low (carbocation intermediate) & High (due to nucleophile approach) \tn % Row Count 12 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{SN1 \& SN2}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/anupamabalaji_1747906985_iXFLU.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.216 cm} x{3.116 cm} x{3.268 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{8.4cm}}{\bf\textcolor{white}{Experimental Techniques}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Method}} & {\bf{Measurement}} & {\bf{Used For}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Mass loss & Decreasing mass (gas released) & Rate of gas-producing reactions \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \seqsplit{Volume} of gas & Gas syringe / upside-down cylinder & Gas evolution \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} \seqsplit{Titration} & Concentration vs time & Accurate kinetic data \tn % Row Count 9 (+ 2) % Row 4 \SetRowColor{LightBackground} \seqsplit{Colorimetry} & Absorbance vs concentration & Colored species (e.g. I₂ reaction) \tn % Row Count 12 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.368 cm} x{1.976 cm} x{4.256 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{8.4cm}}{\bf\textcolor{white}{Rate Laws \& Integrated Rate Equations}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Order}} & {\bf{Rate Law}} & {\bf{Half-life}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Zero & rate = k & t\textasciitilde{}₁⁄₂\textasciitilde{} = {[}A{]}₀ / 2k \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} First & rate = k{[}A{]} & t\textasciitilde{}₁⁄₂\textasciitilde{} = ln2 / k \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} Second & rate = k{[}A{]}$^{\textrm{2}}$ & t\textasciitilde{}₁⁄₂\textasciitilde{} = 1 / (k{[}A{]}₀) \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Graphs}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/anupamabalaji_1747905051_Screen Shot 2025-05-22 at 2.37.18 PM.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Half Life}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/anupamabalaji_1747904543_Screen Shot 2025-05-22 at 2.31.48 PM.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Rate Determining Step (RDS)}} \tn \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{1. The slowest step in a mechanism controls the overall rate. \newline % Row Count 2 (+ 2) 2. Only species involved up to RDS appear in the rate equation. \newline % Row Count 4 (+ 2) 3. Powers in rate law = number of molecules in RDS.% Row Count 6 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{p{0.792 cm} x{1.512 cm} x{2.448 cm} x{2.448 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{8.4cm}}{\bf\textcolor{white}{Catalysis}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Type}} & {\bf{Phase}} & {\bf{Example}} & {\bf{Notes}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{Homogeneous} & Same as \seqsplit{reactants} & Fe$^{\textrm{2}}$⁺/Fe$^{\textrm{3}}$⁺ in S₂O₈$^{\textrm{2}}$⁻ + I⁻ & Catalyst regenerated via redox steps \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} \seqsplit{Heterogeneous} & \seqsplit{Different} from \seqsplit{reactants} & Fe in Haber process & Provides surface, weakens bonds, speeds reaction \tn % Row Count 9 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}----} \SetRowColor{LightBackground} \mymulticolumn{4}{x{8.4cm}}{Catalysts lower the activation energy of a reaction by providing an alternate reaction route.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Adsorption (in Heterogeneous Catalysis)}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/anupamabalaji_1747907427_Screen Shot 2025-05-22 at 3.18.52 PM.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{Adsorption is when reactant molecules bind to active sites on the surface of a solid catalyst. \newline \newline This: \newline 1. Brings molecules close together, increasing collision frequency \newline 2. Weakens bonds in the reactants, lowering activation energy \newline 3. Allows for a faster reaction \newline \newline After the reaction, products desorb (leave) from the surface, freeing the site for reuse.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}