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Chemistry Formulas

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

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