Download AP Chemistry Cheat Sheet 2020 Chem Reference Sheet and more Cheat Sheet Chemistry in PDF only on Docsity! AP CHEMISTRY REFERENCE SHEET EQUATIONS Basic Density: € d = m V Kinetic energy: € KE = 1 2 mv 2 Einstein’s Eq’n: € E = mc 2 Atomic Structure Frequency of light: € ν = c λ Energy of photon: € E = hν or € E = hc λ De Broglie eq’n: € λ = h mv Uncertainty Principle: € Δx • mΔv ≥ h 4π Energy of Hydrogen e- levels: € En = −2.18 ×10 −18 J 1 n2 ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Bonding Coulomb’s Law: € E = 2.31×10−19 J • nm Q1Q2 r ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Dipole moment: € µ = qr Gases, Liquids, & Solutions Ideal Gas Law: € PV = nRT Van der Waal’s Eq’n: € P + a n V ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 2⎡ ⎣ ⎢ ⎤ ⎦ ⎥ × V − nb[ ] = nRT Combined Gas Law: € P1V1 T1 = P2V2 T2 Dalton’s Law: € Ptot = P1 + P2 + P3 + ... Average Kinetic Energy: € KE avg = 3 2 RT Root Mean Square Velocity: € urms = 3RT M Effusion: € rate A rate B = MB MA Clausius-Clapeyron Equation: € ln Pvap = −ΔHvap RT + ln β € ln P2 P1 = −ΔHvap R 1 T2 − 1 T1 ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Solution dilution: € M1V1 =M2V2 Henry’s Law: € Sgas = kHPgas Raoult’s Law: € Psol'n = χsolvPsolv FPD: € ΔTf = m × iK f BPE: € ΔTb = m × iKb Osmotic pressure: € Π =MRT Thermodynamics Internal energy: € ΔE = q + w Heat Capacity: € q = mCsΔT Pressure-Volume Work: € w = −PΔV Change in Enthalpy: € ΔH = ΔE + PΔV Entropy: € S = k ln W Change in Entropy of Surroundings: € ΔSsurr = −ΔHsys T Change in Gibb’s Free Energy: € ΔG = ΔH −TΔS Free Energy (nonstandard): € ΔGrxn = ΔGrxn + RT ln Q Gibb’s Free Energy and K: € ΔGrxn = −RT ln K Kinetics The Rate Law: € Rate = k A[ ]m B[ ]n Arrhenius Equation (linear): € lnk = − Ea R 1 T ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ + lnA Integrated Rate Laws (0,1,2): € A[ ]t = −kt + A[ ]0 € ln A[ ]t = −kt + ln A[ ]0 € 1 A[ ]t = kt + 1 A[ ]0 Equilibrium Equilibrium Constant: € Keq = C[ ]c × D[ ]d A[ ]a × B[ ]b Acid Base Equilibrium: € pH = −log H3O +[ ] € pOH = −log OH−[ ] € Kw = H +[ ] OH−[ ] =1.0 ×10−14 € Ka = H+[ ] A−[ ] HA[ ] € Kb = HB+[ ] OH−[ ] B[ ] Henderson-‐Hasselbalch Eq’n: € pH = pKa + log base acid ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ Electrochemistry Nernst Eq’n: € Ecell = Ecell − 0.0592 V n logQ € ΔG = −nFEcell CONSTANTS 1 amu = 1.6605 × 10-27 kg Avogadro’s # (NA) = 6.02214 × 1023 mol-1 Bohr radius (a0) = 5.2918 × 10-11 m Bolzmann’s const. (k) = 1.3807 × 10-23 J/K Faraday’s const. (F) = 9.6485 × 104 C/mol Planck’s const. (h) = 6.6261 × 10-34 Js Gas const. (R) = 0.0821 (Latm)/(molK) = 8.3145 J/(molK) Electron charge (e) = 1.6022 × 10-19 C Mass of electron (me) = 9.1093826 × 10–31 kg Mass of proton (mp) = 1.67262171 × 10–27 kg Mass of neutron (mn) = 1.6749273 × 10–27 kg Speed of light (c) = 2.9979 × 108 m/s