\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{yams-miny} \pdfinfo{ /Title (reactions-and-stoichiometry.pdf) /Creator (Cheatography) /Author (yams-miny) /Subject (Reactions and Stoichiometry 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}{6F22A3} \definecolor{LightBackground}{HTML}{F6F1F9} \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{Reactions and Stoichiometry Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{yams-miny} via \textcolor{DarkBackground}{\uline{cheatography.com/124058/cs/23637/}}} \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}yams-miny \\ \uline{cheatography.com/yams-miny} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 4th July, 2020.\\ 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*}{4} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Formulae}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Relative Isotopic Mass} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Mass of 1 atom of an isotope of an element / 1/12 the mass of 1 atom of carbon-12 isotope} \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Relative Atomic Mass} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Avg mass of 1 atom of an element / 1/12 the mass of 1 atom of carbon-12 isotope} \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Relative Molecular/Formula Mass} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Avg mass of 1 molecule/formula unit of a substance / 1/12 the mass of 1 atom of carbon-12 isotope} \tn % Row Count 10 (+ 4) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Mr} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Sum of Ar of atoms in the molecular formula} \tn % Row Count 12 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Empirical Formula} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Simplest formula which shows ratio of atoms of different elements in the compound} \tn % Row Count 15 (+ 3) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Molecular Formula} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Formula which shows actual number of atoms of each element in one molecule of the compound} \tn % Row Count 18 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Relative formula mass is used for ionic compounds \newline Relative masses have no units as they are ratios of 2 masses} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Calculations using Volume of Gases}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Avogadro's Law: \newline % Row Count 1 (+ 1) Equal volume of all gases, under the same temperature and pressure, contain the same number of particles (atoms or molecules) \newline % Row Count 4 (+ 3) Gases in a balanced equation: Volume ratio = Mole ratio \newline % Row Count 6 (+ 2) Molar Volume, Vm: \newline % Row Count 7 (+ 1) Volume occupied by 1 mole of the gas at a specific T\&P \newline % Row Count 9 (+ 2) Standard T\&P : 273K (0 degree celsius), 1 bar (100 kPa), 22.7dm\textasciicircum{}3/mol \newline % Row Count 11 (+ 2) Room T\&P: 293K (20 degree celsius), 1 atm (101 kPa), 24 dm\textasciicircum{}3/mol% Row Count 13 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Volumes of gases are dependent on T\&P hence these conditions must be specified} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Stoichiometry}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Stoichiometry: Quantitative aspects of chemical formulae \& reactions \newline % Row Count 2 (+ 2) Limiting reactants are completely consumed in the reaction and limit how much products can form. \newline % Row Count 4 (+ 2) Percentage Yield = \newline % Row Count 5 (+ 1) Actual yield/mass or amount of product formed / \newline % Row Count 6 (+ 1) Theoretical yield/mass or amount of product formed \newline % Row Count 8 (+ 2) x 100\%% Row Count 9 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.20155 cm} x{2.23145 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Types of Reactions}} \tn % Row 0 \SetRowColor{LightBackground} Precipitation Reaction & Reactions which involve formation of insoluble solid (ppt) from reaction of 2 solutions \tn % Row Count 4 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.20155 cm} x{2.23145 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Types of Reactions}} \tn % Row 0 \SetRowColor{LightBackground} Precipitation Reaction & Reactions which involve formation of insoluble solid (ppt) from reaction of 2 solutions, Separation by filtration or decanting \tn % Row Count 5 (+ 5) % Row 1 \SetRowColor{white} Thermal Decomposition & Chemical reaction caused by heat, Compounds break down into 2 or more substances \tn % Row Count 9 (+ 4) % Row 2 \SetRowColor{LightBackground} Acid-Base & Elaboration in a later segment \tn % Row Count 11 (+ 2) % Row 3 \SetRowColor{white} Redox & Elaboration in a later segment \tn % Row Count 13 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Calculations using Concentrations}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{When a solute is dissolved in a solvent, a solution is formed \newline % Row Count 2 (+ 2) If the solvent is water, an aqueous solution is formed \newline % Row Count 4 (+ 2) The concentration of a solution (mol dm\textasciicircum{}-3) shows the amt of solute dissolved in a given volume of solution \newline % Row Count 7 (+ 3) Standard solution: Solution whose concentration is accurately known \newline % Row Count 9 (+ 2) {[}X{]} - Amt of X (mol) / V of solution (dm\textasciicircum{}3) \newline % Row Count 10 (+ 1) No of moles of solute, n: \newline % Row Count 11 (+ 1) - {[}solute{]} (mol dm\textasciicircum{}-3) \textasciicircum{}X Volume (dm\textasciicircum{}3\textasciicircum{}) \newline % Row Count 12 (+ 1) - Mass of X (g) / Molar mass of X (g/mol) \newline % Row Count 13 (+ 1) When a solution is {\bf{diluted}} (by adding more solvent), the concentration of the solution decreases but no. of moles of solute in the diluted solution remains unchanged% Row Count 17 (+ 4) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{1dm\textasciicircum{}3\textasciicircum{} = 1000cm\textasciicircum{}3\textasciicircum{}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Acid-Base Reactions}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{{\bf{Arrhenius Theory of Acids \& Bases}} \newline % Row Count 1 (+ 1) - An acid is a substance that dissociates in water to produce H3O+(aq) \newline % Row Count 3 (+ 2) - A base is a substance that dissociates in water to produce OH- (aq) \newline % Row Count 5 (+ 2) Neutralisation: H+ (aq) + OH-(aq) -\textgreater{} H2O (l) \newline % Row Count 6 (+ 1) Limitation: Aqueous solutions only \newline % Row Count 7 (+ 1) {\bf{Bronsted-Lowry Theory of Acids \& Bases}} \newline % Row Count 8 (+ 1) - An acid is defined as any species which donates a proton, H+. It must thus contain Hi n its formula \newline % Row Count 11 (+ 3) - A base is defined as any species which accepts a proton, H+. It must contain a lone pair of electrons to bind the H+ ions \newline % Row Count 14 (+ 3) {\emph{Bronsted-Lowry acid-base reaction}} involves the transfer of a proton from an acid to a base. They do no occur only in aq solutions but also between gases and non-aq systems. \newline % Row Count 18 (+ 4) {\emph{Limitation}}: Does not address why substances such as BF3 or AlCl3 do not contain any H atom but are known to behave as acids \newline % Row Count 21 (+ 3) {\bf{Lewis Theory of Acid \& Bases}} \newline % Row Count 22 (+ 1) - An acid is a species that accepts an electron pair, e.g. BF3 \newline % Row Count 24 (+ 2) - A base is a species that donates an electron pair, e.g. NH3 \newline % Row Count 26 (+ 2) {\emph{Lewis acid-base reaction}} can be viewed as a transfer of a pair of electrons from the base to the acid \newline % Row Count 29 (+ 3) Limitation: Too general \newline % Row Count 30 (+ 1) } \tn \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Acid-Base Reactions (cont)}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{The 3 models can be used to interpret different acid-base systems \newline % Row Count 2 (+ 2) BL and L theories - Describe specific acid-base reactions \newline % Row Count 4 (+ 2) Arr theory - Whether isolated substances are acids, bases, or neither% Row Count 6 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{In aqueous solution, H+ does not exist on its own. It forms a dative bond with a water molecule to form H3O+, called hydronium or hydroxonium ion. Chemists often use H+ and H3O+ interchangeably o refer to the elevated H+ ion. \newline \newline Best to use Bronsted-Lowry theory wherever possible for an acid-base reaction, and apply Lewis theory only when reaction does not involve proton transfer} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.33887 cm} x{2.09413 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Redox Reactions}} \tn % Row 0 \SetRowColor{LightBackground} Redox Reaction & Reaction that involves reduction and oxidation simultaneously \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Reduction & Process whereby a substance gains electrons, resulting in a decrease in OSN \tn % Row Count 7 (+ 4) % Row 2 \SetRowColor{LightBackground} Oxidation & Process whereby a substance loses electrons, resulting in an increase in OSN \tn % Row Count 11 (+ 4) % Row 3 \SetRowColor{white} Reducing agent (reductant) & Substance that gives electrons to another, itself being oxidised in the process \tn % Row Count 15 (+ 4) % Row 4 \SetRowColor{LightBackground} Oxidising agent (oxidant) & Substance that takes in electrons from another, itself being reduced in the process \tn % Row Count 19 (+ 4) % Row 5 \SetRowColor{white} \seqsplit{Disproportionation} & Redox reaction in which the same substance is both oxidised and reduced \tn % Row Count 22 (+ 3) % Row 6 \SetRowColor{LightBackground} Oxidation Number (OSN) & Number of electrons to be added or subtracted from an atom in a combined state to convert it to elemental form \tn % Row Count 27 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{3.833cm}}{Acronym: OIL RIG \newline When writing the OSN, +/- signs must be stated before the number} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Rules of Assigning OSN}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/yams-miny_1593862060_Oxidation+Numbers+Rules+for+Assigning+Oxidation+States.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Balancing Redox Reactions}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{{\bf{Method 1}} \newline % Row Count 1 (+ 1) 1. Balance elements that were oxidised or reduced \newline % Row Count 2 (+ 1) 2. Balance O with H2O \newline % Row Count 3 (+ 1) 3. Balance H with H+ \newline % Row Count 4 (+ 1) 4. Balance charges with electrons \newline % Row Count 5 (+ 1) {\bf{Method 2}} \newline % Row Count 6 (+ 1) 1. Balance elements that were oxidised or reduced \newline % Row Count 7 (+ 1) 2. Add electrons (OSN x No of that element) \newline % Row Count 8 (+ 1) 3. Balance O with H2O \newline % Row Count 9 (+ 1) 4. Balance H with H+ \newline % Row Count 10 (+ 1) {\bf{Method 3}} \newline % Row Count 11 (+ 1) 1. Balance elements that were oxidised or reduced \newline % Row Count 12 (+ 1) 2. Electrons gained = Electrons lost \newline % Row Count 13 (+ 1) - a x 7e = b x 2 x 1e \newline % Row Count 14 (+ 1) - Same on LHS and RHS, figure out what a and b are, multiply the relevant coefficients \newline % Row Count 16 (+ 2) 3. Balance O with H2O \newline % Row Count 17 (+ 1) 4. Balance H with H+% Row Count 18 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Balancing Redox Reactions}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{{\bf{Method 1}} \newline % Row Count 1 (+ 1) 1. Balance elements that were oxidised or reduced \newline % Row Count 2 (+ 1) 2. Balance O with H2O \newline % Row Count 3 (+ 1) 3. Balance H with H+ \newline % Row Count 4 (+ 1) 4. Balance charges with electrons \newline % Row Count 5 (+ 1) {\bf{Method 2}} \newline % Row Count 6 (+ 1) 1. Balance elements that were oxidised or reduced \newline % Row Count 7 (+ 1) 2. Add electrons (OSN x No of that element) \newline % Row Count 8 (+ 1) 3. Balance O with H2O \newline % Row Count 9 (+ 1) 4. Balance H with H+ \newline % Row Count 10 (+ 1) {\bf{Method 3}} \newline % Row Count 11 (+ 1) 1. Balance elements that were oxidised or reduced \newline % Row Count 12 (+ 1) 2. Electrons gained = Electrons lost \newline % Row Count 13 (+ 1) - a x 7e = b x 2 x 1e \newline % Row Count 14 (+ 1) - Same on LHS and RHS, figure out what a and b are, multiply the relevant coefficients \newline % Row Count 16 (+ 2) 3. Balance O with H2O \newline % Row Count 17 (+ 1) 4. Balance H with H+% Row Count 18 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}