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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

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