== CONSTANTS == h=6.626E-34 J-s (Planck) c=2.998E8 m/s (speed of light) N_A=6.022E23 mol-1 (Avogadro) R=8.314 J/mol-K (gas constant) R=0.08206 L-atm/mol-K F=96485 C/mol-e (Faraday) STP=273.15 K, 1.0 atm, 22.4 L/mol == WATER == K_w=1.0E-14 (at 25 deg C) pK_w=14 = pH + pOH K_w = K_a * K_b == EQUATIONS == Ideal gas: P*V = n*R*T Boyle: P_1*V_1 = P_2*V_2 Dalton: P_tot = P_A + P_B + P_C Mole fraction: X_A = moles_A / total_moles Partial pressure: P_A = P_tot * X_A Molarity: M = n_solute / L_solution Density: D = m / V KE = 0.5*m*v^2 == KINETICS == [A]_t - [A]_0 = -k*t ln([A]_t/[A]_0) = -k*t t_1/2 = 0.693/k == EQUILIBRIUM == K = [C]^c*[D]^d / [A]^a*[B]^b K_p uses partial pressures pH = -log[H_3O^+] pOH = -log[OH^-] pH = pK_a + log(A^-/HA) == THERMO == D_H_rxn = D_H_f_products - D_H_f_reactants q = m*c*_T D_S_rxn = D_S_products - D_S_reactants D_G = D_H - T*D_S D_G = -R*T*ln(K) D_G = -n*F*E == ELECTRO = E_cell = E_cath - E_anod E_cell = E_std - R*T/(n*F)*ln(Q) E_cell = E_std - 0.0592/n*log(Q) (at 25 deg C) Q = I*t