\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{Maryam.Razvi} \pdfinfo{ /Title (stoichiometry-ib-chem-chapter-1.pdf) /Creator (Cheatography) /Author (Maryam.Razvi) /Subject (Stoichiometry (IB Chem Chapter 1) 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}{6B17A3} \definecolor{LightBackground}{HTML}{F5F0F9} \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{Stoichiometry (IB Chem Chapter 1) Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Maryam.Razvi} via \textcolor{DarkBackground}{\uline{cheatography.com/181035/cs/37643/}}} \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}Maryam.Razvi \\ \uline{cheatography.com/maryam-razvi} \\ \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 12th March, 2023.\\ 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*}{3} \begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Formulas}} \tn % Row 0 \SetRowColor{LightBackground} No. of molecules = n {[}no. of moles{]} x A {[}Avogadro's Constant{]} & No. of moles (n) = Mass (m)/ Molar Mass (Mr) \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} No. of Atoms = No. of Molecules {[}n x A{]} x Atomicity & No. of moles (n) = Volume (dm3) / Molar volume (STP or RTP) \tn % Row Count 7 (+ 3) % Row 2 \SetRowColor{LightBackground} \% yield = {[}Experimental yield/ Theoretical Yield{]} x 100 & C {[}molarity{]} = no. of moles {[}n{]}/ Volume of concentration {[}v{]} \tn % Row Count 10 (+ 3) % Row 3 \SetRowColor{white} Ideal Gas Law - PV = nRT & \seqsplit{Volume/concentration} constant - C1V1 = C2V2 \tn % Row Count 13 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Finding Percentage Yield of a Reaction}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Note: \% yield always applies on PRODUCTS} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{1: In any situation, first determine which of the products is the limiting reagent} \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{2: Using the compound which is limiting, form a ration such that {[}limiting reactant : product{]}} \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{3: Under the ratio, write the coefficient ratio of reactant : product} \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{4: Add the molar mass OF 1 MOLE} \tn % Row Count 8 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{5: Multiply the Molar mass with the number of moles = mass value} \tn % Row Count 10 (+ 2) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{6: Cross multiply to find the THEORETICAL YIELD} \tn % Row Count 11 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{7: Use the mass of the product given in the question - (EXPERIMENTAL YIELD)} \tn % Row Count 13 (+ 2) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{8: Substitute in the formula: {\bf{{[}Experimental Yield/ Theoretical Yield{]} x 100}} to find \% yield} \tn % Row Count 15 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{How to Find the Limiting Reagent}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Step 1: Write down the whole equation} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Step 2: Balance the entire equation} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Step 3: Using the balanced equation, determine the coefficient ratio of the reactants} \tn % Row Count 4 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Step 4: Write down the ratios of the values given in the question} \tn % Row Count 6 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Step 5: Convert the amounts to moles} \tn % Row Count 7 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Step 6: divide the values (mole ratio / coefficient ratio)} \tn % Row Count 9 (+ 2) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Ans: The smallest value is the limiting reagent} \tn % Row Count 10 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Ideal Gas Law}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{{\bf{PV = nRT}}; where} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{P - Pressure (Pa)} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{V = Volume (m\textasciicircum{}3\textasciicircum{})} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{T - Temperature (K) *Take celsius value and + 273} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{R - Constant (8.31 JK/mol)} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{n - no. of moles (mol)} \tn % Row Count 6 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.63781 cm} x{2.33919 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Molar Volume Values}} \tn % Row 0 \SetRowColor{LightBackground} STP - Standard Temperature and Pressure & RTP - Room Temperature and Pressure \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Temp.: 0 degrees Celsius & Temp.: 20 degrees Celsius \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Pressure: 1 atm & Pressure = approx. 1atm \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} Volume: 22.7 dm3 & Volume: 24 dm3 \tn % Row Count 7 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.43873 cm} x{2.53827 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Ideal Gas vs. Real Gas}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Ideal Gas}} & {\bf{Real Gas}} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Obeys all gas laws & All properties change \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} {\emph{No forces of attraction}} & Forces of attraction \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} Collide in straight lines & Collision in random motion \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{No mass or volume} \tn % Row Count 8 (+ 1) % Row 5 \SetRowColor{white} High Temperature & Low Temperature \tn % Row Count 9 (+ 1) % Row 6 \SetRowColor{LightBackground} Low Pressure & High Pressure \tn % Row Count 10 (+ 1) % Row 7 \SetRowColor{white} High Volume & Low Volume \tn % Row Count 11 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Steps to Find a Standard Solution}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{{\bf{Standard Solution}}: a solution of accurately known concentration} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Step 1: Weigh a known amount of solute} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Step 2: Dissolve the Solute in a minimal amount of water} \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Step 3: Transfer the solution to a volumetric flask without washing} \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Step 4: Make the solution fill the flask till the meniscus reaches accurate value} \tn % Row Count 9 (+ 2) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Step 5: Place stopper and invert into mix solution} \tn % Row Count 10 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}