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Chemistry Formulas

Stoichiometry
\[ \begin{array}{c} n = \dfrac{m}{M} \end{array} \]
\[ \begin{aligned} c &= \dfrac{n}{V} \\[0.1cm] \text{or }\; c &= \dfrac{m}{MV} \end{aligned} \]
\[ \begin{array}{c} \dfrac{c_{\text{a}}V_{\text{a}}}{c_{\text{b}}V_{\text{b}}} = \dfrac{n_{\text{a}}}{n_{\text{b}}} \end{array} \]
\[ \begin{array}{c} N = nN_{\text{A}} \end{array} \]
\[ \begin{array}{c} V_{\text{g}} = nV_{\text{m}} \end{array} \]
Acids and bases
\[ \begin{array}{c} \text{pH} = -\log\left[\text{H}_{3}\text{O}^{+}\right] \end{array} \]
\[ \begin{aligned} K_{\text{w}} &= \left[\text{H}_{3}\text{O}^{+}\right]\left[\text{OH}^{-}\right] \\ &= \text{1} \times \text{10}^{-\text{14}} \text{ at } \text{298}\ \text{K} \end{aligned} \]
Electrochemistry
\[ \begin{array}{c} E_{\text{cell}}^{\theta} = E_{\text{cathode}}^{\theta} - E_{\text{anode}}^{\theta} \end{array} \]
\[ \begin{array}{c} E_{\text{cell}}^{\theta} = E_{\text{reduction}}^{\theta} - E_{\text{oxidation}}^{\theta} \end{array} \]
\[ \begin{array}{c} E_{\text{cell}}^{\theta} = E_{\text{oxidising agent}}^{\theta} - E_{\text{reducing agent}}^{\theta} \end{array} \]
Gas laws
\[ \begin{array}{c} p_{1}V_{1} = p_{2}V_{2} \end{array} \]
\[ \begin{array}{c} \dfrac{V_{1}}{T_{1}} = \dfrac{V_{2}}{T_{2}} \end{array} \]
\[ \begin{array}{c} \dfrac{p_{1}}{T_{1}} = \dfrac{p_{2}}{T_{2}} \end{array} \]
\[ \begin{array}{c} \dfrac{p_{1}V_{1}}{T_{1}} = \dfrac{p_{2}V_{2}}{T_{2}} \end{array} \]
\[ \begin{array}{c} pV = nRT \end{array} \]