\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{TheGoldenClover} \pdfinfo{ /Title (tahsili-chemistry-chemical-calculations.pdf) /Creator (Cheatography) /Author (TheGoldenClover) /Subject (Tahsili Chemistry (Chemical Calculations) 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}{7E59B5} \definecolor{LightBackground}{HTML}{F6F4FA} \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{Tahsili Chemistry (Chemical Calculations) Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{TheGoldenClover} via \textcolor{DarkBackground}{\uline{cheatography.com/201551/cs/42700/}}} \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}TheGoldenClover \\ \uline{cheatography.com/thegoldenclover} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 12th March, 2024.\\ Updated 12th March, 2024.\\ 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{2.64 cm} x{5.36 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Moles}} \tn % Row 0 \SetRowColor{LightBackground} Avogadro's number & 6.02 x 10\textasciicircum{}23\textasciicircum{} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Molar Mass & the mass of one mol of a substance \tn % Row Count 4 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.68 cm} x{4.32 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Gas Laws}} \tn % Row 0 \SetRowColor{LightBackground} Boyle's Law (Constant Temp) & P1V1 = P2V2 \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Graph Shape & a decreasing curve \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} Charle's Law (Constant Pressure) & V1/T1 = V2/T2 \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} Graph Shape & an increasing line \tn % Row Count 6 (+ 1) % Row 4 \SetRowColor{LightBackground} Gay-Lussac's Law (Constant Volume) & P1/T1 = P2/T2 \tn % Row Count 8 (+ 2) % Row 5 \SetRowColor{white} Graph Shape & an increasing line \tn % Row Count 9 (+ 1) % Row 6 \SetRowColor{LightBackground} General Law & P1V1/T1 = P2V2/T2 \tn % Row Count 10 (+ 1) % Row 7 \SetRowColor{white} Ideal Gas Law & PV = nRT (R = 0.082) \tn % Row Count 11 (+ 1) % Row 8 \SetRowColor{LightBackground} Standard Conditions (STP) & temp = 273 K / 0 C and P = 1 atm \tn % Row Count 13 (+ 2) % Row 9 \SetRowColor{white} Avogadro's Principle & equal volumes of gases have equal number of particles at the same temp and pressure \tn % Row Count 17 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.92 cm} x{4.08 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Chemical Potential Energy and Heat}} \tn % Row 0 \SetRowColor{LightBackground} Chemical Potential Energy & the stored energy in the structure of matter \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Heat & the energy transferred between objects (Joules) \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} Calorie & the amount of energy required to raise 1 gram of water by 1 degree C \tn % Row Count 10 (+ 4) % Row 3 \SetRowColor{white} Heat Content (H) & the amount of stored heat energy per mol under constant pressure \tn % Row Count 14 (+ 4) % Row 4 \SetRowColor{LightBackground} Change in Heat Content / Enthalpy (ΔH) & the energy absorbed or released in a reaction \tn % Row Count 17 (+ 3) % Row 5 \SetRowColor{white} Enthalpy Formula & ΔH = H (products) - H (reactants) \tn % Row Count 19 (+ 2) % Row 6 \SetRowColor{LightBackground} H (products) \textless{} H (reactants) & the reaction is exothermic, and will have a negative value \tn % Row Count 22 (+ 3) % Row 7 \SetRowColor{white} H (products) \textgreater{} H (reactants) & the reaction is endothermic, and will have a positive value \tn % Row Count 25 (+ 3) % Row 8 \SetRowColor{LightBackground} Hess's law & states that regardless of the multiple stages, the total enthalpy change is the sum of all the changes \tn % Row Count 31 (+ 6) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{8.4cm}{x{3.92 cm} x{4.08 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Chemical Potential Energy and Heat (cont)}} \tn % Row 9 \SetRowColor{LightBackground} Standard heat of formation & The change in heat content when 1 mol of compound is formed from its elements in standard conditions \tn % Row Count 5 (+ 5) % Row 10 \SetRowColor{white} \mymulticolumn{2}{x{8.4cm}}{{\emph{endothermic = positive = cold reactions}}} \tn % Row Count 6 (+ 1) % Row 11 \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{{\emph{exothermic = negative = warm reactions}}} \tn % Row Count 7 (+ 1) % Row 12 \SetRowColor{white} \mymulticolumn{2}{x{8.4cm}}{{\emph{the heat of formation in standard conditions = 0}}} \tn % Row Count 8 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.44 cm} x{4.56 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Empirical and Molecular Formulas}} \tn % Row 0 \SetRowColor{LightBackground} Percent composition of A in AB & ( Mass of A / Mass of AB ) x 100\% \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Empirical Formula & The simplest whole number ratio of atoms (Ex: CH) \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} Molecular Formula & The actual number of atoms in a molecule (Ex: C6H6) \tn % Row Count 8 (+ 3) % Row 3 \SetRowColor{white} N whole Number & N = molecular formula mass / empirical formula mass \tn % Row Count 11 (+ 3) % Row 4 \SetRowColor{LightBackground} Hydrated Salts & salts with water molecules in it's crystals \tn % Row Count 13 (+ 2) % Row 5 \SetRowColor{white} \mymulticolumn{2}{x{8.4cm}}{{\emph{when hydrated salts are heated, they lose their water}}} \tn % Row Count 15 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.4 cm} x{5.6 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Calculations In Gases}} \tn % Row 0 \SetRowColor{LightBackground} Limiting Reactant & the substance that is used up completely \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Excess Reactant & the substance that is not used up and remains after the reaction \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} Theoretical yield & the largest amount of product that can be produced \tn % Row Count 7 (+ 2) % Row 3 \SetRowColor{white} Actual Yield & the amount produced by the experiment \tn % Row Count 9 (+ 2) % Row 4 \SetRowColor{LightBackground} Percent Yield & = (actual yield / theoretical yield) x 100 \tn % Row Count 11 (+ 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}{Kinetic Molecular Theory of Gases}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{a gas is comprised of molecules whose {\bf{average distance}} between each other is {\bf{greater than the size of its particles}}} \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{The particles of a gas exert {\bf{no attractive forces on each other or the container}}} \tn % Row Count 5 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{The particles are in {\bf{constant random motion}}} \tn % Row Count 6 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{The KE of a particle depends on its {\bf{mass and velocity}}} \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.04 cm} x{4.96 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Gas Behavior}} \tn % Row 0 \SetRowColor{LightBackground} Diffusion & the movement of particles from areas of high concentration to areas of low concentration \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} Graham's Law of Diffusion & Rate1 / Rate2 = √(molar mass 2 / molar mass 1) \tn % Row Count 6 (+ 2) % Row 2 \SetRowColor{LightBackground} Flowing & the movement of gases through small holes \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.52 cm} x{4.48 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Pressure}} \tn % Row 0 \SetRowColor{LightBackground} Pressure & the force applied perpendicularly to the surface of an object per unit area \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} SI unit & Pascal (N/m\textasciicircum{}2\textasciicircum{}) \tn % Row Count 5 (+ 1) % Row 2 \SetRowColor{LightBackground} Barometer & measures atmospheric pressure \tn % Row Count 7 (+ 2) % Row 3 \SetRowColor{white} Manometer & measures the pressure of a trapped gas \tn % Row Count 9 (+ 2) % Row 4 \SetRowColor{LightBackground} Dalton's Law of partial pressure & the total pressure of a mixture of gases is equal to the sum of the individual pressures \tn % Row Count 13 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}