Topics and Equations

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Category	Equations
Atomic Structure	\(E = h \nu\) \(c = \lambda \nu\)
Acids and Bases	\(K_a = \frac{[H^+][A^-]}{[HA]}\) \(K_b = \frac{[OH^-][HB^+]}{[B]}\) \(K_w = [H^+][OH^-] = K_a \times K_b\) \(pH = -\log[H^+]\) \(pOH = -\log[OH^-]\) \(pH + pOH = 14\) \(pH = pK_a + \log\frac{[A^-]}{[HA]}\)
Kinetics	\([A] = [A]_0 - kt\) \(\ln[A] = \ln[A]_0 - kt\) \(\frac{1}{[A]} = \frac{1}{[A]_0} + kt\)
Gases	\(V \propto n\) \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\) \(P_1V_1 = P_2V_2\) \(\frac{P_1}{T_1} = \frac{P_2}{T_2}\) \(PV = nRT\)
Solutions	\(M = \frac{n}{V}\)
Thermodynamics	\(q = mc\Delta T\) \(\Delta H_f^\circ = \sum \Delta H_f^\circ (\text{products}) - \sum \Delta H_f^\circ (\text{reactants})\) \(\Delta S_f^\circ = \sum \Delta S_f^\circ (\text{products}) - \sum \Delta S_f^\circ (\text{reactants})\) \(\Delta G_f^\circ = \sum \Delta G_f^\circ (\text{products}) - \sum \Delta G_f^\circ (\text{reactants})\) \(\Delta G = \Delta G^\circ + RT\ln Q\)
Electrochemistry	\(E = E^\circ - \frac{RT}{nF}\ln Q\) \(E_{cell} = E_{cell}^\circ - \frac{0.0592}{n} \log Q\)