\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{faabu} \pdfinfo{ /Title (kapittel-3-massebalanse-med-reaksjon.pdf) /Creator (Cheatography) /Author (faabu) /Subject (Kapittel 3 - Massebalanse med reaksjon 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}{C732AE} \definecolor{LightBackground}{HTML}{FBF2F9} \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{Kapittel 3 - Massebalanse med reaksjon Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{faabu} via \textcolor{DarkBackground}{\uline{cheatography.com/170836/cs/35827/}}} \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}faabu \\ \uline{cheatography.com/faabu} \\ \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 2nd December, 2022.\\ 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{3.68 cm} x{4.32 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{StΓΈkiometrisk koeffisient}} \tn % Row 0 \SetRowColor{LightBackground} StΓΈkiometrisk koeffisient 𝜈`i` & negativ for reaktanter og positiv for produkter \tn % Row Count 3 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.8 cm} x{5.2 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Reaksjonsomfang}} \tn % Row 0 \SetRowColor{LightBackground} Definisjon πœ‰ & sier hvor langt en {\bf{reaksjon}} har gΓ₯tt \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Beregning {[}mol, mol/s{]} & πœ‰`i` = (mol reaktant 𝐴 dannet/tapt i reaksjon 𝑗)/(stΓΈkiometrisk koeffisient for 𝐴 i reaksjon 𝑗) \tn % Row Count 7 (+ 5) % Row 2 \SetRowColor{LightBackground} For {\emph{en}} reaksjon & πœ‰ = (𝑛`A` βˆ’ 𝑛`𝐴,0`)/𝜈`𝐴` \tn % Row Count 9 (+ 2) % Row 3 \SetRowColor{white} & 𝑛`𝐴` = 𝑛`𝐴,0` + 𝜈`𝐴`πœ‰ \tn % Row Count 11 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.72 cm} x{5.28 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Omsetningsgrad}} \tn % Row 0 \SetRowColor{LightBackground} Definisjon 𝑋`𝐴` & fraksjonen av en gitt {\bf{reaktant}} som omsettes \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Enhet & ingen, verdi mellom 0 og 1 \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} Beregning & 𝑋`𝐴` = (mol reaktant 𝐴 omsatt ved reaksjoner)/(mol reaktant 𝐴 tilfΓΈrt systemet) \tn % Row Count 7 (+ 4) % Row 3 \SetRowColor{white} & 𝑋`𝐴` = (𝑛`𝐴,0` βˆ’ 𝑛`𝐴`) / 𝑛`𝐴,0` \tn % Row Count 10 (+ 3) % Row 4 \SetRowColor{LightBackground} & 𝑛`𝐴,0` βˆ’ 𝑛`𝐴` = βˆ‘`𝑖` 𝜈`𝐴𝑖` πœ‰`𝑖` \tn % Row Count 13 (+ 3) % Row 5 \SetRowColor{white} Ved en reaksjon & πœ‰ = (𝑛`𝐴` βˆ’ 𝑛`𝐴,0`) / 𝜈`𝐴` = (βˆ’π‘›`𝐴,0` 𝑋`A`) / 𝜈`𝐴` \tn % Row Count 17 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{p{0.8 cm} x{7.2 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Reaksjonsomfang vs. omsetningsgrad}} \tn % Row 0 \SetRowColor{LightBackground} πœ‰ & brukes som variabel ved beregninger. \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} πœ™ & brukes nΓ₯r man skal gi informasjon om en reaksjon \tn % Row Count 3 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.96 cm} x{5.04 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Resirkulasjonsforhold}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Resirkulasjonsforholdet} & (total stoffmengde resirkulert) / (total stoffmengde frisk fΓΈde) \tn % Row Count 3 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.6 cm} x{6.4 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Begrensende reaktant (LR)}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Definisjon} & reaktanten som begrenser den maksimale verdien av reaksjonsomfanget \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \seqsplit{Beregning} & LR = \seqsplit{fΓΈdemengde/reaksjonskoeffisient} 𝜈 \tn % Row Count 5 (+ 2) % Row 2 \SetRowColor{LightBackground} & πœ‰`max` = 𝑛`i,0` / |𝜈`i`| \tn % Row Count 7 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.16 cm} x{5.84 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Selektivitet}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Definisjon} (Ξ¦) & er fraksjonen av omsatt reaktant som danner ΓΈnsket produkt. \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Beregning (\%) & πœ™ = (mol A omsatt til ΓΈnsket produkt) / (mol A omsatt totalt) \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} & πœ™ = (|𝜈`𝐴𝑗`| πœ‰`𝑗`)/(βˆ‘`i` 𝜈`𝐴𝑖` πœ‰`𝑖`) \tn % Row Count 9 (+ 3) % Row 3 \SetRowColor{white} & πœ™ = (𝜈`𝐴𝑗` πœ‰`𝑗`)/(n`A,0` - n`A`) \tn % Row Count 11 (+ 2) % Row 4 \SetRowColor{LightBackground} & 𝑛`𝐴,0` βˆ’ 𝑛`𝐴` = βˆ‘`𝑖` 𝜈`𝐴𝑖` πœ‰`𝑖` \tn % Row Count 14 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.08 cm} x{5.92 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Utbytte}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Definisjon} (Y) & mengden ΓΈnsket produkt dannet som fraksjon av det teoretisk oppnΓ₯elige \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Beregning (\%) & π‘Œ = (mol A omsatt til ΓΈnsket produkt) / (mol A tilsatt ) \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} & π‘Œ = (|𝜈`𝐴𝑗`| πœ‰`𝑗`) / 𝑛`𝐴,0` \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.6 cm} x{6.4 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Atombalanser}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Definisjon} & Det kan settes opp atombalanser for hver grunnstoff \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{Beregning} & r = c`r` - a \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} & r - antall uavhengige reaksjoner \tn % Row Count 5 (+ 1) % Row 3 \SetRowColor{white} & c`r` - antall komponenter i reaksjonen \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} & a - antall uavhengige atombalanser \tn % Row Count 9 (+ 2) % Row 5 \SetRowColor{white} OBS: & Inerte teller ikke med i beregninger \tn % Row Count 11 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}