To Do
1. Introduce r(B,A) in The Mole
This is necessary in the context of number of atoms
to particle
Example: Water (H2O) has 3 atoms per molecule (or 3 moles of atoms per mole of molecules).
\[ \begin{align*} N(\mathrm{atoms}) &= n(\mathrm{atoms}) ~ N_{\mathrm{A}} \\[1.5ex] &= n(\mathrm{H_2O}) ~ r(\mathrm{atoms,H_2O}) ~ N_{\mathrm{A}} \\[1.5ex] &= 1~\mathrm{mol~H_2O} \left ( \dfrac{3~\mathrm{mol~atoms}}{\mathrm{mol~H_2O}}\right ) \left ( \dfrac{6.02\bar{2} \times 10^{23}}{\mathrm{mol}} \right ) \\[1.5ex] &= 1.80\bar{6}60\times 10^{24}~\mathrm{atoms} \\[1.5ex] &= 1.807\times 10^{24}~\mathrm{atoms} \end{align*} \]
2. Create “Concentration” and “Dilution” sections in Concentration
- amount concentration
- amount-of-substance concentration
- molar concentration
- molarity (depricated)
3. Finish reviewing Practice 05 problems.
4. Properly format all Molarity units with smallcaps (HTML and LaTeX)
- Include callout box that compares 0.150 M to 0.150 M (latter is ubiquitous; former is official)
\[ \begin{align*} &= 0.150~\class{mjx-molar}{\mathrm{M}} \end{align*} \]
A 0.150 M aqueous solution of HCl…
5. LaTeX fraction formatting – use \displaystyle
Use \displaystyle
when a denominator has a superscript following a subscript
\[ \dfrac{\mathrm{mol~H_2O}}{\mathrm{NH_4{^+}}} \]
vs
\[ \dfrac{\mathrm{mol~H_2O}}{\displaystyle \mathrm{NH_4{^+}}} \]
6. Square brackets not molarity universally
IUPAC technically reserves bracket notation [X] to mean the concentration of species X relative to the standard concentration (which is usually 1 mol/L), making it a dimensionless quantity for use in equilibrium constant expressions.