\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-mixtures-and-solutions.pdf) /Creator (Cheatography) /Author (TheGoldenClover) /Subject (Tahsili Chemistry (Mixtures and Solutions) 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}{4C49A3} \definecolor{LightBackground}{HTML}{F3F3F9} \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 (Mixtures and Solutions) Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{TheGoldenClover} via \textcolor{DarkBackground}{\uline{cheatography.com/201551/cs/42892/}}} \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 31st March, 2024.\\ Updated 31st 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{3.52 cm} x{4.48 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Solutions}} \tn % Row 0 \SetRowColor{LightBackground} solution & a homogeneous mixture of substances \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} alloys & a homogeneous mixture of metals with metals, or metals with nonmetals \tn % Row Count 6 (+ 4) % Row 2 \SetRowColor{LightBackground} Solution Concentration & the amount of solute in a specific amount of solvent \tn % Row Count 9 (+ 3) % Row 3 \SetRowColor{white} Solution Concentration formulas & M of solute / M of solution or V of solute / V of solution \tn % Row Count 12 (+ 3) % Row 4 \SetRowColor{LightBackground} Molarity & mol of solute / L of solution \tn % Row Count 14 (+ 2) % Row 5 \SetRowColor{white} Dilution formula & M1V1 = M2V2 \tn % Row Count 15 (+ 1) % Row 6 \SetRowColor{LightBackground} Molality & mol of solute / Kg of solvent \tn % Row Count 17 (+ 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}{Mixtures}} \tn % Row 0 \SetRowColor{LightBackground} mixture & two or more substances are mixed together and keep their properties \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} types of mixtures & homogeneous (smooth, indistinguishable) and heterogeneous (mixed) \tn % Row Count 7 (+ 3) % Row 2 \SetRowColor{LightBackground} types of heterogeneous mixtures & suspensions and colloids \tn % Row Count 9 (+ 2) % Row 3 \SetRowColor{white} separation of mixtures & distillation (homogeneous) - filtration (heterogeneous) - crystillization - chromatography - sublimation \tn % Row Count 14 (+ 5) % Row 4 \SetRowColor{LightBackground} Brownian Motion & the random motion of particles suspended in fluids (prevents precipitation) \tn % Row Count 18 (+ 4) % Row 5 \SetRowColor{white} Tyndall Effect & the scattering of light by a medium containing small suspended particles \tn % Row Count 22 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Dissolving}} \tn % Row 0 \SetRowColor{LightBackground} Dissolving & the process in which solute molecules are surrounded by solvent particles \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} Heat of Dissolving & the change in energy due to solution formation \tn % Row Count 7 (+ 3) % Row 2 \SetRowColor{LightBackground} Factors affecting the rate of dissolving & increase in temp - stirring - increase of solute surface area (powdering) \tn % Row Count 11 (+ 4) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{8.4cm}}{{\emph{solubility of a gas in a liquid increases when temp decreases}}} \tn % Row Count 13 (+ 2) % Row 4 \SetRowColor{LightBackground} Henry's Law & S1P2 = S2P1 (S = solubility , P = pressure) \tn % Row Count 16 (+ 3) % Row 5 \SetRowColor{white} Colligative Properties of solution (depend on solute to solution ratio) & vapor pressure lowering - osmotic pressure - boiling point elevation - freezing point depression \tn % Row Count 21 (+ 5) % Row 6 \SetRowColor{LightBackground} {\bf{vapor pressure lowering}} & the pressure of a vapor decreases with an increase in the no. of moles \tn % Row Count 25 (+ 4) % Row 7 \SetRowColor{white} {\bf{boiling point elevation}} & ΔT = k(b) x m (ΔT = b.p elevation, k(b) = elevation constant, m = molality \tn % Row Count 29 (+ 4) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{{\emph{a liquid boils when its vapor pressure equals atmospheric pressure. K(b) changes with the solvent}}} \tn % Row Count 31 (+ 2) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Dissolving (cont)}} \tn % Row 9 \SetRowColor{LightBackground} {\bf{freezing point depression}} & ΔT = k(f) x m (ΔT = f.p depression, k(f) = depression constant, m = molality \tn % Row Count 4 (+ 4) % Row 10 \SetRowColor{white} {\bf{osmotic pressure}} & the additional pressure caused by the movement of water to areas of Conc. Solution \tn % Row Count 9 (+ 5) % Row 11 \SetRowColor{LightBackground} osmosis & the movement of solvent through semipermeable memebranes to areas of lower concentration \tn % Row Count 14 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}