## Stoichiometry

- \(n = \dfrac{m}{M}\)
- \(\begin{align} c &= \dfrac{n}{V} \\ \text{or } c &=\dfrac{m}{MV} \end{align}\)
- \(\dfrac{c_{a}V_{a}}{c_{b}V_{b}} = \dfrac{n_{a}}{n_{b}}\)
- \(N = n N_{\text{A}}\)
- \(V_{\text{g}} = nV_{\text{m}}\)

## Acids and bases

- \(\text{pH} = -\log{[\text{H}_{3}\text{O}^{+}]}\)
- \(\begin{align}K_{w} &= [\text{H}_3\text{O}^+][\text{OH}^-] \\ &= 1 \times 10^{-14} \text{ at } 298 \text{ K} \end{align}\)

## Electrochemistry

- \(E_{\textrm{cell}}^{\theta} = E_{\textrm{cathode}}^{\theta} - E_{\textrm{anode}}^{\theta}\)
- \(E_{\textrm{cell}}^{\theta} = E_{\textrm{reduction}}^{\theta} - E_{\textrm{oxidation}}^{\theta}\)
- \(\begin{align}E_{\textrm{cell}}^{\theta} = \text{ } &E_{\textrm{oxidising agent}}^{\theta} \\ &- E_{\textrm{reducing agent}}^{\theta}\end{align}\)

## Gas laws

- \(p_{1}V_{1} = p_{2}V_{2}\)
- \(\dfrac{V_{1}}{T_{1}} = \dfrac{V_{2}}{T_{2}}\)
- \(\dfrac{p_{1}}{T_{1}} = \dfrac{p_{2}}{T_{2}}\)
- \(\dfrac{p_{1}V_{1}}{T_{1}} = \dfrac{p_{2}V_{2}}{T_{2}}\)
- \(pV = nRT\)