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Gibbs free energy change equation
∆G = -nFEcell
Equilibrium Constant (Kc)
Kc = [C]^c[D]^d / [A]^a[B]^b
Polarity of Molecules
A molecule with polar bonds may be polar or nonpolar depending on the orientation of the bond dipoles.
PV = k or P1V1 = P2V2
Boyle's Law relating pressure and volume of a gas.
V/T = k or V1/T1 = V2/T2
Charles's Law relating volume and temperature of a gas.
P/T = k or P1/T1 = P2/T2
Gay-Lussac's Law relating pressure and temperature of a gas.
(P + a)(V - nb) = nRT
Van der Waals equation of state accounting for real gas behavior.
PV = nRT
Ideal Gas Law relating pressure, volume, temperature, and moles of gas.
q = mc∆T
Formula for heat transfer where q is heat, m is mass, c is specific heat, and ∆T is temperature change.
1 mole of gas at STP = 22.4 L
Volume of one mole of an ideal gas at standard temperature and pressure.
PA = PTXA
Dalton's law of partial pressures relating total pressure and partial pressures.
Enthalpy (H)
Is used to express heat changes at constant pressure.
Kinetic molecular theory of gases
An explanation of gaseous molecular behavior based on the motion of individual molecules.
Average molecular speeds
K = 1/2 mv² = 3/2 kBT
Standard heat of formation (∆H°f)
The enthalpy change that would occur if one mole of a compound was formed directly from its elements in their standard states.
Standard heat of reaction (∆H°rxn)
The hypothetical enthalpy change that would occur if the reaction were carried out under standard conditions.
Root-mean-square speed (urms)
urms = √(3RT/M)
Hess's law
States that enthalpies of reactions are additive.
Entropy (S)
The measure of the distribution of energy ('randomness') throughout a system.
Gibbs free energy (G)
Combines the two factors that affect the spontaneity of a reaction—changes in enthalpy, ∆H, and changes in entropy, ∆S.
Gibbs free energy equation
∆G = ∆H - T∆S
Colligative properties
Physical properties derived solely from the number of particles present, not the nature of those particles.
Freezing point depression equation
∆Tf = iKfm
Boiling point elevation equation
∆Tb = iKbm
Osmotic pressure equation
∏ = MRT
pH equation
pH = -log[H+] = log(1/[H+])
pOH equation
pOH = -log[OH-] = log(1/[OH-])
Kw equation
Kw = [H+][OH-] = 10-14
pH + pOH equation
pH + pOH = 14
Ka equation
Ka = [H3O+][A-]/[HA]
Kb equation
Kb = [B+][OH-]/[BOH]
Percent composition by mass
Mass of solute / Mass of solution × 100%
Molarity equation
# of mol of solute / liter of solution
Molality equation
# of mol of solute / kg of solvent
Normality equation
# of gram equivalent weights of solute / liter of solution
Henderson-Hasselbalch equation
pH = pKa + log [conjugate base] / [weak acid]
Standard reduction potential equation
emf = E˚red, cathode - E˚red, anode
Moles
Moles = mass of a sample / molar mass
Avogadro's Number
A mole is represented by Avogadro's number, 6.022 x 10^23 particles.
Rate Law Equation
rate = k[A]^x[B]^y
Energy of Electron
E = Hn
Electromagnetic Energy of Photons
E = hc
Maximum Number of Electrons in Energy Level
Maximum number of electrons = 2n²
Formal Charge
Formal charge is the charge an atom would have if all the electrons in bonds were shared equally.
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