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%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
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% Most of the following are not required for the majority
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% Document Info
\author{aprilreynoldsss}
\pdfinfo{
  /Title (chem-122.pdf)
  /Creator (Cheatography)
  /Author (aprilreynoldsss)
  /Subject (CHEM 122 Cheat Sheet)
}

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\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}}
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\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{CHEM 122 Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{aprilreynoldsss} via \textcolor{DarkBackground}{\uline{cheatography.com/165644/cs/34734/}}}
\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}aprilreynoldsss \\
  \uline{cheatography.com/aprilreynoldsss} \\
  \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 21st October, 2022.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \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}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{LIQUIDS AND SOLIDS}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{h=(2Tcosθ) / (rρg)} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{P=Ae\textasciicircum{}−ΔHvap/(RT)\textasciicircum{}} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{lnP=−ΔHvap/(RT)+lnA} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{ln(P2/P1)= (ΔHvap/R) (1/T1−1/T2)} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{nλ=2d sinθ} \tn 
% Row Count 5 (+ 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}{FUNDAMENTAL EQUILIBRIUM CONCEPTS}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Qc={[}C{]}\textasciicircum{}c\textasciicircum{}{[}D{]}\textasciicircum{}d\textasciicircum{} / {[}A{]}\textasciicircum{}a\textasciicircum{}{[}B{]}\textasciicircum{}b\textasciicircum{}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Qp= {[}PC{]}\textasciicircum{}c\textasciicircum{}{[}PD{]}\textasciicircum{}d\textasciicircum{} / {[}PA{]}\textasciicircum{}a\textasciicircum{}{[}PB{]}\textasciicircum{}b\textasciicircum{}} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{P = MRT} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Kc = Qc at equilibrium} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Kp = Qp at equilibrium} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{KP = Kc (RT)\textasciicircum{}Δn\textasciicircum{}} \tn 
% Row Count 6 (+ 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}{OTHER EQUILIBRIA}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{MpXq(s)⇌ pM\textasciicircum{}m+\textasciicircum{}(aq)+ qX\textasciicircum{}n−\textasciicircum{}(aq)} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{where    Ksp={[}M\textasciicircum{}m+\textasciicircum{}{]}\textasciicircum{}p\textasciicircum{}{[}X\textasciicircum{}n−\textasciicircum{}{]}\textasciicircum{}q\textasciicircum{}} \tn 
% Row Count 2 (+ 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}{THERMODYNAMICS}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{ΔS= qrev/T} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{S = k ln W} \tn 
% Row Count 2 (+ 1)
% Row 2
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\mymulticolumn{1}{x{5.377cm}}{ΔS=k ln(Wf/Wi)} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{ΔS° = \seqsplit{∑νS°(products)−∑νS°(reactants)}} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{ΔS=qrev/T} \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{ΔSuniv = ΔSsys + ΔSsurr} \tn 
% Row Count 6 (+ 1)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{\seqsplit{ΔSuniv=ΔSsys+ΔSsurr=ΔSsys+} (qsurr/T)} \tn 
% Row Count 7 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{ΔG = ΔH − TΔS} \tn 
% Row Count 8 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{SOLUTIONS / COLLOIDS}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{C\textasciicircum{}g\textasciicircum{}=kP\textasciicircum{}g\textasciicircum{}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{(P\textasciicircum{}A\textasciicircum{}=(X\textasciicircum{}A\textasciicircum{}) (P\textasciicircum{}A\textasciicircum{}))} \tn 
% Row Count 2 (+ 1)
% Row 2
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\mymulticolumn{1}{x{5.377cm}}{Psolution=Xsolvent Psolvent} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{ΔT\textasciicircum{}b\textasciicircum{} = K\textasciicircum{}b\textasciicircum{}m} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{ΔT\textasciicircum{}f\textasciicircum{} = K\textasciicircum{}f\textasciicircum{}m} \tn 
% Row Count 5 (+ 1)
% Row 5
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\mymulticolumn{1}{x{5.377cm}}{Π = MRT} \tn 
% Row Count 6 (+ 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}{ACID-BASE EQUILIBRIA}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Kw = {[}H3O+{]}{[}OH−{]} = 1.0  ×  10\textasciicircum{}−14\textasciicircum{} (at 25 °C)} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{pH=−log{[}H3O+{]}} \tn 
% Row Count 3 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{pOH = −log{[}OH−{]}} \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{{[}H3O+{]} = 10\textasciicircum{}−pH\textasciicircum{}} \tn 
% Row Count 5 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{{[}OH−{]} = 10\textasciicircum{}−pOH\textasciicircum{}} \tn 
% Row Count 6 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{pH + pOH = pKw = 14.00 at 25 °C} \tn 
% Row Count 7 (+ 1)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Ka={[}H3O\textasciicircum{}+\textasciicircum{}{]}{[}A\textasciicircum{}−\textasciicircum{}{]} / {[}HA{]}} \tn 
% Row Count 8 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Kb={[}HB\textasciicircum{}+\textasciicircum{}{]}{[}OH\textasciicircum{}−\textasciicircum{}{]} / {[}B{]}} \tn 
% Row Count 9 (+ 1)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Ka × Kb = 1.0 × 10\textasciicircum{}−14\textasciicircum{} = Kw} \tn 
% Row Count 10 (+ 1)
% Row 9
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Percent ionization = ( {[}H3O+{]}eq / {[}HA{]}0 ) ×100} \tn 
% Row Count 11 (+ 1)
% Row 10
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{pKa = −log Ka} \tn 
% Row Count 12 (+ 1)
% Row 11
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{pKb = −log Kb} \tn 
% Row Count 13 (+ 1)
% Row 12
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{pH= pKa+ log ({[}A\textasciicircum{}−\textasciicircum{}{]}/{[}HA{]})} \tn 
% Row Count 14 (+ 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}{NUCLEAR CHEM}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{{\emph{E = mc\textasciicircum{}2\textasciicircum{}}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{decay rate = λN} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{{\emph{t\textasciicircum{}1/2\textasciicircum{}}}= ln2/ λ  = 0.693/ λ} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{rem = RBE × rad} \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Sv = RBE × Gy} \tn 
% Row Count 5 (+ 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}{KINETICS}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{relative reaction rates for aA⟶bB =(−1/a)(Δ{[}A{]}/Δt) =(1/b)(Δ{[}B{]}/Δt)} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{integrated rate law for zero-order reactions:  {[}A{]}t=−kt+{[}A{]}0} \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{half-life for a zero-order reaction t1/2= {[}A{]}0/(2k)} \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{integrated rate law for first-order reactions: ln{[}A{]}t=−kt + ln{[}A{]}0} \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{half-life for a first-order reaction t1/2= ln2/k} \tn 
% Row Count 9 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{integrated rate law for second-order reactions: 1/{[}A{]}t=kt+ 1/{[}A{]}0} \tn 
% Row Count 11 (+ 2)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{half-life for a second-order reaction t1/2 =1/({[}A{]}0k)} \tn 
% Row Count 13 (+ 2)
% Row 7
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{k=Ae\textasciicircum{}−Ea/RT\textasciicircum{}} \tn 
% Row Count 14 (+ 1)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{lnk= (−Ea/R)(1/T) + lnA} \tn 
% Row Count 15 (+ 1)
% Row 9
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{lnk(1/k2)= (Ea/R) (1/T2−1/T1)} \tn 
% Row Count 16 (+ 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}{ELECTROCHEMISTRY}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{E\textasciicircum{}∘\textasciicircum{}cell=E\textasciicircum{}∘\textasciicircum{}cathode−E\textasciicircum{}∘\textasciicircum{}anode} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{E\textasciicircum{}∘\textasciicircum{}cell=(RT/nF)lnK} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{E\textasciicircum{}∘\textasciicircum{}cell=(0.0257 V/n)lnK = (0.0592 V/n) logK      ......(at 298.15K)} \tn 
% Row Count 4 (+ 2)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Ecell = E\textasciicircum{}∘\textasciicircum{}cell − (RT/nF) lnQ     .....(Nernst equation)} \tn 
% Row Count 6 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Ecell = E°cell− (0.0592V/n)logQ       ......(at 298.15K)} \tn 
% Row Count 8 (+ 2)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{ΔG = −{\emph{nFE}}cell} \tn 
% Row Count 9 (+ 1)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{ΔG\textasciicircum{}∘\textasciicircum{}=−{\emph{nFE}}\textasciicircum{}∘\textasciicircum{}cell} \tn 
% Row Count 10 (+ 1)
% Row 7
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{{\emph{w}}ele = {\emph{w}}max =−{\emph{nFE}}cell} \tn 
% Row Count 11 (+ 1)
% Row 8
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{{\emph{Q = I × t = n × F}}} \tn 
% Row Count 12 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}