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Rate equation for reactants
Rate = -Δ[reactant]/Δt
Rate equation for products
Rate = Δ[product]/Δt
Overall reaction order
The sum of all individual exponents in the rate law.
Determining individual reaction orders
Use the method of initial rates and compare rate changes with concentration changes.
Rate law expression from data
Rate = k[A]^m[B]^n, solving for m and n using experimental data.
Effect of increasing concentration on reaction rate
It increases the frequency of collisions, which increases the rate.
Effect of increasing temperature on reaction rate
It increases particle energy, making collisions more effective.
Half-reaction method
Split the reaction into oxidation and reduction half-reactions, balance each, and then combine.
Rate constant (k)
A proportionality constant in the rate law that depends on temperature.
Monodentate ligand
A ligand that donates one pair of electrons to the metal.
Bidentate ligand
A ligand that donates two pairs of electrons to the metal.
Electromagnetic radiation arranged by frequency
Gamma > X-ray > UV > Visible > IR > Microwave > Radio.
Electromagnetic radiation arranged by wavelength
Radio > Microwave > IR > Visible > UV > X-ray > Gamma.
Purpose of color wheel
Helps determine the complementary color of a solution based on absorbed wavelength.
Equation for energy of radiation
E = hν or E = hc/λ.
Beer-Lambert Law
A = εbc, where A is absorbance, ε is molar absorptivity, b is path length, and c is concentration.
Absorbance calculation from transmittance
A = -log(T), where T = %T/100.
% transmittance calculation from absorbance
%T = 10^(-A) × 100.
Reaction quotient (Q)
Q = [products]^coeff / [reactants]^coeff using current concentrations.
Equilibrium constant (Kc)
Kc = [products]^coeff / [reactants]^coeff at equilibrium.
Calculating Kc from quantities
Plug equilibrium concentrations into Kc expression.
Le Châtelier’s Principle
A system at equilibrium will shift to oppose a disturbance.
Effect of concentration increase on equilibrium
The system shifts to consume the added substance.
Behavior of K with concentration changes
K remains constant unless temperature changes.
Effect of temperature increase on equilibrium in exothermic reaction
It shifts left; K decreases.
Effect of temperature increase on equilibrium in endothermic reaction
It shifts right; K increases.
Dissociation reaction of strong acid HCl
HCl → H⁺ + Cl⁻.
Dissociation reaction of weak acid HA
HA ⇌ H⁺ + A⁻.
Ka expression for weak acid
Ka = [H⁺][A⁻]/[HA].
Calculating [H3O⁺] from pH
[H3O⁺] = 10^(-pH).
Calculating [OH⁻] from pOH
[OH⁻] = 10^(-pOH).
Relationship between pH and pOH
pH + pOH = 14.
Calculating Ka from initial and equilibrium concentrations
Use ICE table and plug values into Ka = [H⁺][A⁻]/[HA].
Finding equilibrium concentrations from Ka and [HA]initial
Use an ICE table and solve for unknowns.
Determining acidity of a salt solution
Based on the nature of the cation and anion (acidic, basic, or neutral).
Components of a buffer
A weak acid and its conjugate base (or vice versa).
Buffer with highest capacity
One with high, equal concentrations of acid and base.
Calculating pH of a buffer
Use Henderson-Hasselbalch: pH = pKa + log([A⁻]/[HA]).
Dissolution equation for AgCl
AgCl(s) ⇌ Ag⁺(aq) + Cl⁻(aq).
Ksp expression for AgCl
Ksp = [Ag⁺][Cl⁻].
Comparing Ksp values
Higher Ksp indicates more soluble in water.
Effect of temperature on Ksp in endothermic process
Ksp increases with temperature.
Effect of temperature on Ksp in exothermic process
Ksp decreases with temperature.
Calculating solubility from Ksp
Set up ICE table and solve using Ksp = x² (or other forms).
Common ion effect
Solubility decreases in the presence of a common ion.
Calculating temperature for spontaneity
T = ΔH° / ΔS°.
Gibbs Free Energy equation
ΔG° = ΔH° – TΔS°.
Condition for spontaneous reaction
When ΔG° < 0.