\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{kaliap714} \pdfinfo{ /Title (rice-chem-122-formula-info-sheet.pdf) /Creator (Cheatography) /Author (kaliap714) /Subject (Rice CHEM 122 Formula/Info Sheet 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}{62B6BF} \definecolor{LightBackground}{HTML}{F5FAFB} \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{Rice CHEM 122 Formula/Info Sheet Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{kaliap714} via \textcolor{DarkBackground}{\uline{cheatography.com/36789/cs/11570/}}} \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}kaliap714 \\ \uline{cheatography.com/kaliap714} \\ \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 26th April, 2017.\\ 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{1.78516 cm} x{1.64784 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{UNIT 1}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Formula Name}} & {\bf{Equation}} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Boyle's Law & PV = k (N,T) \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} Charles's Law & V/T = k (N,P) \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} Avogadro's Law & V/n = k (T,P) \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} Ideal Gas Law & V = nRT/P or PV = nRT \tn % Row Count 6 (+ 2) % Row 5 \SetRowColor{white} Dalton's Law & Ptotal = P1 + P2 + P3.... \tn % Row Count 8 (+ 2) % Row 6 \SetRowColor{LightBackground} STP & 1 atm, 0 Celsius \tn % Row Count 9 (+ 1) % Row 7 \SetRowColor{white} Gas Density & d = m/V = PM/RT = N/V \tn % Row Count 11 (+ 2) % Row 8 \SetRowColor{LightBackground} Partial Pressure & P1 = X1 * Ptotal \tn % Row Count 12 (+ 1) % Row 9 \SetRowColor{white} Root Mean Squared Speed & v = sqrt(3RT/M) \tn % Row Count 14 (+ 2) % Row 10 \SetRowColor{LightBackground} Collision Frequency & f = vrms / mfp (mean free path) \tn % Row Count 16 (+ 2) % Row 11 \SetRowColor{white} Average Kinetic Energy & KE = 3/2 nRT \tn % Row Count 18 (+ 2) % Row 12 \SetRowColor{LightBackground} Effusion - Graham's Law & rate1/rate2 = sqrt(MW2/MW1) \tn % Row Count 20 (+ 2) % Row 13 \SetRowColor{white} General Rate Law & rate = k{[}A{]}\textasciicircum{}m*{[}B{]}\textasciicircum{}n \tn % Row Count 21 (+ 1) % Row 14 \SetRowColor{LightBackground} Zeroth Order Integrated Rate Law & {[}A{]}t = {[}A{]}0 - kt \tn % Row Count 23 (+ 2) % Row 15 \SetRowColor{white} First Order Integrated Rate Law & ln{[}A{]}t = ln{[}A{]}0 -kt \tn % Row Count 25 (+ 2) % Row 16 \SetRowColor{LightBackground} Second Order Integrated Rate LAw & 1/{[}A{]}t = 1/{[}A{]}0 + kt \tn % Row Count 27 (+ 2) % Row 17 \SetRowColor{white} Zeroth Order Half Life & t = {[}A{]}0/2k \tn % Row Count 29 (+ 2) % Row 18 \SetRowColor{LightBackground} First Order Half Life & t = ln2/k \tn % Row Count 31 (+ 2) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{x{1.78516 cm} x{1.64784 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{UNIT 1 (cont)}} \tn % Row 19 \SetRowColor{LightBackground} Second Order Half Life & t = 1/k{[}A{]}0 \tn % Row Count 2 (+ 2) % Row 20 \SetRowColor{white} Arrhenius Equation & Ae\textasciicircum{}-Ea/RT \tn % Row Count 3 (+ 1) % Row 21 \SetRowColor{LightBackground} Logarithmic Form of Arrhenius Equation & ln(k2/k1) = (-Ea/R) * (1/T2 - 1/T1) \tn % Row Count 5 (+ 2) % Row 22 \SetRowColor{white} Michaelis-Menton Enzyme Kinetics & rate = k2 {[}E{]}T {[}S{]}/{[}S{]} + km \tn % Row Count 7 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.75083 cm} x{1.68217 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{UNIT 2}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Formula Name/Subject}} & {\bf{Equation/Description}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Equilibrium Constant (concentrations) & Kc = {[}products{]}/{[}reactants{]} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Equilibrium Constant (pressures) & Kp = \seqsplit{P(products)/P(reactants)} \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} Equilibrium Equation (with rates) & K = kf/kr \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} Q = K & At equilibirum \tn % Row Count 9 (+ 1) % Row 5 \SetRowColor{white} Q \textless{} K & reaction shifts in forward direction \tn % Row Count 11 (+ 2) % Row 6 \SetRowColor{LightBackground} Q \textgreater{} K & reaction shifts in reverse direction \tn % Row Count 13 (+ 2) % Row 7 \SetRowColor{white} Keq is large (10\textasciicircum{}3) & kforward \textgreater{} kreverse \tn % Row Count 14 (+ 1) % Row 8 \SetRowColor{LightBackground} Keq is small (10\textasciicircum{}-3) & kforward \textless{} kreverse \tn % Row Count 15 (+ 1) % Row 9 \SetRowColor{white} Keq = 1 & kforward = kreverse \tn % Row Count 16 (+ 1) % Row 10 \SetRowColor{LightBackground} Kc and Kp Relation & Kc = Kp * RT\textasciicircum{}Δn \tn % Row Count 17 (+ 1) % Row 11 \SetRowColor{white} L'C: add more reactants & reaction shifts forward \tn % Row Count 19 (+ 2) % Row 12 \SetRowColor{LightBackground} L'C: add more products & reaction shifts reverse \tn % Row Count 21 (+ 2) % Row 13 \SetRowColor{white} L'C: increase pressure & reaction shifts towards fewer moles \tn % Row Count 23 (+ 2) % Row 14 \SetRowColor{LightBackground} L'C: decrease pressure & reaction shifts towards greter moles \tn % Row Count 25 (+ 2) % Row 15 \SetRowColor{white} L'C: increase volume & reaction shifts towards greater moles \tn % Row Count 27 (+ 2) % Row 16 \SetRowColor{LightBackground} L'C: decrease volume & reaction shifts towards fewer moles \tn % Row Count 29 (+ 2) % Row 17 \SetRowColor{white} Endothermic (T) Phase Transitions & Melting, Sublimation, Evaporation \tn % Row Count 31 (+ 2) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{x{1.75083 cm} x{1.68217 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{UNIT 2 (cont)}} \tn % Row 18 \SetRowColor{LightBackground} Exothermic (P) Phase Transitions & Freezing, Deposition, Condensation \tn % Row Count 2 (+ 2) % Row 19 \SetRowColor{white} Entropy & S = kB ln(W) \tn % Row Count 3 (+ 1) % Row 20 \SetRowColor{LightBackground} Change in Entropy for Change in Volume & ΔS = nR ln(V2/V1) \tn % Row Count 5 (+ 2) % Row 21 \SetRowColor{white} Change in Entropy ofSurroundings & ΔSsurr = -ΔH/T \tn % Row Count 7 (+ 2) % Row 22 \SetRowColor{LightBackground} Gibbs Free Energy & ΔG = ΔH - TΔS \tn % Row Count 8 (+ 1) % Row 23 \SetRowColor{white} Nonstandard Gibbs Free Energy (1) & ΔG = ΔG0 + RTlnQ \tn % Row Count 10 (+ 2) % Row 24 \SetRowColor{LightBackground} Standard Gibbs Free Energy & ΔG0 = -RTlnK \tn % Row Count 12 (+ 2) % Row 25 \SetRowColor{white} Nonstandard Gibbs Free Energy (2) & ΔG = RT ln(Q/K) \tn % Row Count 14 (+ 2) % Row 26 \SetRowColor{LightBackground} Clausisus-Claperyon Equation & ln(P2/P1) = -ΔH/R (1/T2-1/T1) \tn % Row Count 16 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.68217 cm} x{1.75083 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{UNIT 3}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Formula Name/Info}} & {\bf{Equation/Description}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Molarity (M) & mol solute/L solution (mol/L) \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Molality (m) & mol solute/kg solution (mol/kg) \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} Mole Fraction (X) & mol solute/mol solution (mol/mol) \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} Vapor Pressure (two volatile chemicals) & Pvap = P{\emph{aXa + P}}bXb \tn % Row Count 11 (+ 3) % Row 5 \SetRowColor{white} Boiling Point Elevation & Tb = kb {\emph{ m }} i \tn % Row Count 13 (+ 2) % Row 6 \SetRowColor{LightBackground} Freezing Point Depression & Tf = -kf {\emph{ m }} i \tn % Row Count 15 (+ 2) % Row 7 \SetRowColor{white} Osmotic Pressure & pi =iMRT \tn % Row Count 16 (+ 1) % Row 8 \SetRowColor{LightBackground} Solubility & S = mol dissolved / L solution \tn % Row Count 18 (+ 2) % Row 9 \SetRowColor{white} CIE: add in species already present & decrease solubility \tn % Row Count 20 (+ 2) % Row 10 \SetRowColor{LightBackground} \seqsplit{Henderson-Hasselbach} Equation & pH = pKa + log(conj. base/acid) \tn % Row Count 22 (+ 2) % Row 11 \SetRowColor{white} K value for Neutralization & Kn = Ka*Kb/Kw \tn % Row Count 24 (+ 2) % Row 12 \SetRowColor{LightBackground} Equivalence Point & mol base added = mol acid originally present \tn % Row Count 27 (+ 3) % Row 13 \SetRowColor{white} Midpoint & pH = pKa \tn % Row Count 28 (+ 1) % Row 14 \SetRowColor{LightBackground} Solvent-Solvent Interactions & endothermic, overcome IMFs \tn % Row Count 30 (+ 2) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{x{1.68217 cm} x{1.75083 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{UNIT 3 (cont)}} \tn % Row 15 \SetRowColor{LightBackground} Solute-Solute Interactions & endothermic, overcome IMFs \tn % Row Count 2 (+ 2) % Row 16 \SetRowColor{white} Solvent-Solute Interactions & exothermic, release energy through attractive forces \tn % Row Count 5 (+ 3) % Row 17 \SetRowColor{LightBackground} To relate Ka to Kb & Kw = Ka * Kb \tn % Row Count 6 (+ 1) % Row 18 \SetRowColor{white} Strong Acids & H2SO4, HNO3, HCl, HI, HClO4, HClO3, HBr \tn % Row Count 8 (+ 2) % Row 19 \SetRowColor{LightBackground} Strong Bases & LiOH, NaOH, KOH, RbOH, CsOH, Ca(OH)2, Sr(OH)2 \tn % Row Count 11 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.54485 cm} x{1.88815 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{UNIT 4}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Formula Name/Subject}} & {\bf{Equation/Description}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Current (I)) & charge/time (Amperes) \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} Voltage (V) & energy/charge (Volts) \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} Power (W) & energy/seconds (Watts) \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} Oxidation Reaction & Lose electrons \tn % Row Count 6 (+ 1) % Row 5 \SetRowColor{white} Reduction Reaction & Gain electrons \tn % Row Count 7 (+ 1) % Row 6 \SetRowColor{LightBackground} Cathode & Site of reduction, e- flow to cathode \tn % Row Count 9 (+ 2) % Row 7 \SetRowColor{white} Anode & Site of oxidation, e- flow from anode \tn % Row Count 11 (+ 2) % Row 8 \SetRowColor{LightBackground} Cell Potential (E) & Ecell = Ecathode + Eanode = Eredcat - Eredan \tn % Row Count 13 (+ 2) % Row 9 \SetRowColor{white} Gibbs Free Energy (standard) & ΔG0 = -nFE0 \tn % Row Count 15 (+ 2) % Row 10 \SetRowColor{LightBackground} Faraday's Constant & 96,500 C/mol e- \tn % Row Count 16 (+ 1) % Row 11 \SetRowColor{white} Nernst Equation & E = E0 - RT/nF lnQ \tn % Row Count 17 (+ 1) % Row 12 \SetRowColor{LightBackground} Standard Hydrogen Electrode (SHE) & 2H+ + 2e- -\textgreater{} H2(g) \tn % Row Count 19 (+ 2) % Row 13 \SetRowColor{white} Standard Cell Potential & E0 = RT/nF lnK \tn % Row Count 21 (+ 2) % Row 14 \SetRowColor{LightBackground} Total Charge (Z) & Z = I * t (in seconds), in coloumbs \tn % Row Count 23 (+ 2) % Row 15 \SetRowColor{white} Moles of Electrons Produced & n(e-) = Z/F \tn % Row Count 25 (+ 2) % Row 16 \SetRowColor{LightBackground} Moles of Metal Produced & n(metal) = n(e-)* mol(metal)/mols e- needed \tn % Row Count 27 (+ 2) % Row 17 \SetRowColor{white} Mass of Metal Produced & m(metal) = n(metal)/MWmetal \tn % Row Count 29 (+ 2) % Row 18 \SetRowColor{LightBackground} Nernst Equation with pH & E = E0red + 2.3RT/F logQ \tn % Row Count 31 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}