\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{nanana00} \pdfinfo{ /Title (chemistry-acids-and-bases.pdf) /Creator (Cheatography) /Author (nanana00) /Subject (Chemistry - Acids \& Bases 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}{E01D4B} \definecolor{LightBackground}{HTML}{FDF0F3} \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{Chemistry - Acids \& Bases Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{nanana00} via \textcolor{DarkBackground}{\uline{cheatography.com/145954/cs/31491/}}} \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}nanana00 \\ \uline{cheatography.com/nanana00} \\ \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 20th April, 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{2.8 cm} x{5.2 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{ACID}} \tn % Row 0 \SetRowColor{LightBackground} PROTON DONOR & H+ \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Arrhenius Concept & increases H+ in water (ex. H3O+) \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} \seqsplit{Bronsted-Lowry} Concept & can donate a proton (H+) \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} Lewis Concept & electron pair acceptor (covalent bond created) \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} {\emph{strong acids}} & dissociate fully (100\% ionized) \tn % Row Count 9 (+ 2) % Row 5 \SetRowColor{white} {\emph{weak acids}} & dissociate partially (\textless{}100\% ionized) \tn % Row Count 11 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{tart/sour taste \{\{ac\}\}} \tn \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}{ACID/BASE REACTIONS}} \tn % Row 0 \SetRowColor{LightBackground} can be ions or substances & not limited to (aq) solutions \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{8.4cm}}{some react as acid or base depending on other reactant} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} salt & ionic compound, product of acid base reaction, does {\bf{NOT}} contain OH-, not metal oxide \tn % Row Count 8 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{ex. HCl (aq) + KOH (aq) -{}-{}-{}-\textgreater{} KCl (aq) + H2O \{\{ac\}\}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{AUTOIONIZATION OF WATER}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{small \% of water undergoes ionization to produce ions \{\{ac\}\}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{Kw = 1 × 10\textasciicircum{}-14 \{\{ac\}\}} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{ex. H2O (l) + H2O (l) -{}-\textgreater{} H3O+ (aq) + OH- (aq) \{\{ac\}\}} \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{in pure water.... {[}H3O+{]} × {[}OH-{]} = 10\textasciicircum{}-14 and {[}H3O+{]} = {[}OH-{]} = 10\textasciicircum{}-7 \{\{ac\}\}} \tn % Row Count 7 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{{\emph{the product between the molar concentrations of {\bf{hydronium ion}} and {\bf{hydroxide ion}} is a constant}} \{\{ac\}\}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{4.08 cm} x{3.92 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{pH SCALE}} \tn % Row 0 \SetRowColor{LightBackground} ACID & BASE \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} pH = -log{[}H3O+{]} OR {[}H3O+{]} = 10\textasciicircum{}-pH & pOH = -log{[}OH-{]} OR {[}OH-{]} =10\textasciicircum{}-pH \tn % Row Count 3 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{pH = -log{[}H+{]} \newline -pH = log{[}H3O+{]} \newline 10\textasciicircum{} \textasciicircum{}10 \newline {[}H+{]} = 10\textasciicircum{}-pH} \tn \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}{ACID IONIIZATION CONSTANT, Ka}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{} \tn % Row Count 0 (+ 0) % Row 1 \SetRowColor{white} {\emph{WEAK ACID IONIZATION}} & equilibria of weak acid \tn % Row Count 2 (+ 2) % Row 2 \SetRowColor{LightBackground} HA (aq) + H2O⇄H3O\textasciicircum{}+\textasciicircum{}(aq) + A- & {\bf{Ka = {[}H+{]}{[}A-{]}/{[}HA{]}}} \tn % Row Count 4 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{8.4cm}}{pKa = -logKa} \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} pH = -log {[}H3O+{]} & {[}H3O+{]} = 10\textasciicircum{}-pH\textasciicircum{} \tn % Row Count 6 (+ 1) % Row 5 \SetRowColor{white} pOH = -log{[}OH-{]} & {[}OH-{]} = 10\textasciicircum{}-pH\textasciicircum{} \tn % Row Count 7 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{p = -log} \tn % Row Count 8 (+ 1) % Row 7 \SetRowColor{white} Degree of Ionization, α & neutral molecule splits into charged ions when exposed in a solution \tn % Row Count 12 (+ 4) % Row 8 \SetRowColor{LightBackground} α of weak acid/base in water = fraction of total concentration that has formed ions & ex. HA(aq) + H2O⇄H3O\textasciicircum{}+\textasciicircum{}(aq) + A- (aq) \tn % Row Count 17 (+ 5) % Row 9 \SetRowColor{white} \% ionization ({\emph{weak acid}}) = & {[}A-{]} eq/{[}HA{]} orginally × 100\% \tn % Row Count 19 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{the larger the Ka, the stronger the acid \{\{ac\}\}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Ka Table}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/nanana00_1649686495_speciationmodels.png}}} \tn \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}{BASE}} \tn % Row 0 \SetRowColor{LightBackground} PROTON RECEPTOR & OH- \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Arrhenius Concept & increase {[}OH-{]} in water \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \seqsplit{Bronsted-Lowry} Concept & can accept a proton (H+) \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} Lewis Concept & electron pair donor (covalent bond created) \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} {\emph{strong bases}} & dissociate fully (100\% ionized) \tn % Row Count 10 (+ 2) % Row 5 \SetRowColor{white} {\emph{weak bases}} & dissociate partially (\textgreater{}100\%) \tn % Row Count 12 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{bitter taste, slippery feeling \{\{ac\}\}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{BRONSTED ACID/BASE STRENGHT}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/nanana00_1649017710_chepic.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{acid 1 + base 2 \textless{}-{}-\textgreater{} (conjugate) base 1 + (conjugate) acid 2 \{\{ac\}\} \newline rxn direction favors weaker acid and base \{\{ac\}\}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{4.08 cm} x{3.92 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{AUTOIONIZATION OF WATER PROBLEMS}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{1. {\bf{hydrogen (hydronium) ion concentration when {[}OH-{]} = 2× 10\textasciicircum{}-3\textasciicircum{}M}} \{\{ac\}\}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} & Kw = {[}H+{]}{[}OH-{]} = 1 × 10\textasciicircum{}-14\textasciicircum{} \{\{ar\}\} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} & {[}H+{]}{[} 2×10\textasciicircum{}-3\textasciicircum{}{]} = 1 × 10\textasciicircum{}-14\textasciicircum{} \{\{ar\}\} \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} & {[}H+{]} = 5.0 × 10\textasciicircum{}-12\textasciicircum{} M \{\{ar\}\} \tn % Row Count 9 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{2.{\bf{ hydroxide ion concentration in 0.002M HCl solution }}\{\{ac\}\}} \tn % Row Count 11 (+ 2) % Row 5 \SetRowColor{white} & HCl (aq) → H+ (aq) + Cl- (aq) \{\{ar\}\} \tn % Row Count 13 (+ 2) % Row 6 \SetRowColor{LightBackground} {\emph{HCl is a strong acid, will dissociate 100\%}} & Kw = {[}H+{]}{[}OH-{]} = 1 × 10\textasciicircum{}-14\textasciicircum{} \{\{ar\}\} \tn % Row Count 16 (+ 3) % Row 7 \SetRowColor{white} & {[}0.002M{]}{[}OH-{]} = 1 × 10\textasciicircum{}-14\textasciicircum{} \tn % Row Count 18 (+ 2) % Row 8 \SetRowColor{LightBackground} & {[}OH-{]} = 5.0 × 10\textasciicircum{}-12\textasciicircum{} \tn % Row Count 20 (+ 2) \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}{CALCULATING pH OF STRONG ACID \& BASE}} \tn % Row 0 \SetRowColor{LightBackground} 1. {\bf{pH of 0.10M Ba(OH)2 solution}} & Ba(OH)2 + H2O -{}-{}-\textgreater{} Ba\textasciicircum{}2+\textasciicircum{} + 2OH- \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} I & 0.10M \textbackslash{}\textbackslash{}\textbackslash{} 0 0 \tn % Row Count 5 (+ 3) % Row 2 \SetRowColor{LightBackground} C & -0.10 \textbackslash{}\textbackslash{}\textbackslash{} +0.10 +2(0.10) \tn % Row Count 8 (+ 3) % Row 3 \SetRowColor{white} E & 0M \textbackslash{}\textbackslash{}\textbackslash{} 0.10 0.20 \tn % Row Count 11 (+ 3) % Row 4 \SetRowColor{LightBackground} pOH = -log{[}OH-{]} = -log{[}0.20M{]} = 0.6990 & pH = 14.00-0.6990 = 13.30 \tn % Row Count 14 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{8.4cm}}{answer: {\emph{basic solution}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{ACID EQUILLIBRIUM CALCULATIONS (pH from Ka)}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{calculate pH of 1.0M Acetic acid soln, using approximations. Ka=1.8×10\textasciicircum{}-5\textasciicircum{} \{\{nl\}\} HC2H3O2 + H2O ⇄ H3O\textasciicircum{}+\textasciicircum{} + C2H3O2\textasciicircum{}-\textasciicircum{} \{\{ac\}\}} \tn \mymulticolumn{1}{x{8.4cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{I}} 1.0 M \textbackslash{}\textbackslash{} 0M 0M \{\{ac\}\}\{\{nl\}\}{\bf{C}} -x \textbackslash{}\textbackslash{}\textbackslash{}\textbackslash{} +x +x\{\{nl\}\} {\bf{E}} 1-x \textbackslash{}\textbackslash{}\textbackslash{}\textbackslash{} x x \{\{nl\}\} Ka = {[}H3O+{]}{[}C2H3O2-{]}/{[}HC2H3O2{]}\{\{nl\}\} Ka = x\textasciicircum{}2\textasciicircum{}/1.0 - x = 1.8 × 10\textasciicircum{}-5\textasciicircum{} \{\{nl\}\}√x\textasciicircum{}2\textasciicircum{} = √1.8 × 10\textasciicircum{}-5\textasciicircum{} \{\{nl\}\} {\bf{x = 4.24 × 10\textasciicircum{}-3\textasciicircum{}M}}\{\{nl\}\} \%ionization = {[}H3O+{]}eq/{[}HC2H3O2{]}org × 100\% \{\{nl\}\} =4.24×10\textasciicircum{}-3\textasciicircum{}M/1.0M ×100\% = {\bf{0.424\%}} {\emph{\textless{}5\% can neglect!}}\{\{nl\}\} {\bf{pH =}} -log{[}4.24×10\textasciicircum{}-3\textasciicircum{}{]} ={\bf{2.30}}} \tn % Row Count 12 (+ 12) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{} \tn % Row Count 12 (+ 0) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{calculate pH of 1.0×10\textasciicircum{}-5\textasciicircum{}M Acetic acid soln ({\emph{diluted concentration}})\{\{nl\}\}HC2H3O2 + H2O ⇄ H3O+ + C2H3O2- \{\{ac\}\}} \tn \mymulticolumn{1}{x{8.4cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{I}} 1.0×10\textasciicircum{}-5\textasciicircum{}M \textbackslash{}\textbackslash{}\textbackslash{}\textbackslash{} 0M 0M\{\{nl\}\}{\bf{C}} 1.0×10\textasciicircum{}-5\textasciicircum{}M-x \textbackslash{}\textbackslash{}\textbackslash{} +x +x\{\{nl\}\}{\bf{E}} 1.0×10\textasciicircum{}-5\textasciicircum{}M-x \textbackslash{}\textbackslash{}\textbackslash{}\textbackslash{} x x\{\{nl\}\}Ka =x\textasciicircum{}2\textasciicircum{}/ 1.0×10\textasciicircum{}-5\textasciicircum{}M - x= 1.8×10\textasciicircum{}-5\textasciicircum{}M\{\{nl\}\}√x\textasciicircum{}2\textasciicircum{} = √1.8 × 10\textasciicircum{}-10\textasciicircum{}\{\{nl\}\} {\bf{x = 1.34× 10\textasciicircum{}-5\textasciicircum{}}}\{\{nl\}\} \%ionization = {[}H3O+{]}/{[}HC2H3O2{]} × 100\% \{\{nl\}\}={\bf{13\%}} {\emph{\textgreater{} 5\% can't neglect!}}\{\{nl\}\}x\textasciicircum{}2\textasciicircum{}/ 1.0×10-5M = 1.8×10\textasciicircum{}-5\textasciicircum{}M\{\{nl\}\}x\textasciicircum{}2\textasciicircum{} + 1.8×10\textasciicircum{}-5\textasciicircum{}x - 1.8×10\textasciicircum{}-10\textasciicircum{}=0\{\{nl\}\}1.8×10\textasciicircum{}-5\textasciicircum{}±√(1.8e\textasciicircum{}-5\textasciicircum{})\textasciicircum{}2\textasciicircum{} - 4(1)(-1.8×10\textasciicircum{}-10\textasciicircum{})/ 2(1)\{\{nl\}\} = 7.15×10\textasciicircum{}-6\textasciicircum{}M = {[}H3O+{]}\{\{nl\}\} {\bf{pH =}} -log{[}7.15×10\textasciicircum{}-6\textasciicircum{}M{]}= {\bf{5.14}}} \tn % Row Count 26 (+ 14) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}