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MCAT General Chemistry

Class 1 - 06/06/24:

  • Atoms - smallest unit of any element - has protons, neutrons, and electrons

    • p = +1, mass = 1amu

    • e = -1, mass = 0amu

    • n = 0, mass = 1amu

  • Atomic number = Z, the number of p*

  • Mass number = p*+n

  • The charge = p-e

    • Cations and anions are ions

      • C>0 = cation → +

      • C<0 = anion → -

      • C=0 = atom level

  • Isotopes: two atoms of the same element that differ in their number of neutrons - determined by mass number

  • Bohr model of the atom:

    • Electrons orbit at a fixed distance from the nucleus - the orbit decreases with distance from the nucleus - as we move away, the ends come closer and energy increases with distance from the nucleus

  • Electrons absorb only specific allowed E(due to fixed quantities of E)

    • Current orbit = ground state

    • Higher E orbit = excited state

    • Ephoton = Ef-Ei

    • e- in an excited state can come to a lower level to emit a photon - when dropped, the e- becomes relaxed

  • Hydrogen Absorption spectrum = dark bands on a bright background(absorb, so black line)

  • Hydrogen Emission spectrum = bright bands on a dark background(emit, so bright lines)

  • The Energy of a photon is related to its wavelength(λ lambda) and frequency(f)

    • E = hf = hc/λ → Wavelength and frequency are inversely related - when f is high, λ is low, E is high; when f is low, λ is high, E is low

  • E- exists in 3D orbitals and 4 quantum number describe their structures(orbitals are the areas around the nucleus where an e- is most likely to be found)

    • s, p, d, f → s being lowest in E and F in highest E

    • ex. boron= 1s2 2s2 2p1 → goes by block and row of the periodic table

  • 3 basic rules for Electron filling:

    • Pauli principle: there can be no more than 2 e- in any given orbital(spin up and down)

      • e- cannot be the same, hence, different spins

    • Aufbau principle: E- occupies the lowest orbitals first and is filled in increasing E

      • exception is 3d and 4s → 4s are removed before 3d

    • Hund’s Rule: E- first occupy an orbital singly then pair up(no orbital left empty)

  • Anomalous electron configurations: when some elements prefer to be half-filled or filled by taking an e from 4s and putting it into 3d ex. Cr and Cu

  • Paramagnetic = at least one unpaired e-

  • Diamagnetic = all e- are paired ex. noble gases

  • Ground state e-configuration: the ground state is the lowest e configuration → correct amount of e as the element has

  • Excited state e-configuration: the element has jumped an orbital but it has not changed the amount of electrons as it originally had

  • A half-filled shell is more stable than one that isn’t; filled one is the most stable ex. noble gases

  • Valence shell configurations of elements determine the chemical reactivity of the elements → Elements in the same group show similar characteristics ex. noble gases as calm due to their octet shells, while halogens are reactive gases with 1 e-missing

  • Valence shell electrons experience electrostatic attraction due to the nucleus → shielding effect

    • force of electrostatic attraction is proportional to Zeff + C/r²

  • Atomic radius increases going down right to left

  • Ionization E increase going up from left to right

  • Electron affinity(negativity) increases going up from left to right

  • Electronegativity increases going up from left to right

    • FON=ClBrISC=H

  • Acidity increases going down left to right down

Class 2: 11/06/24:

  • Molecular Structure

    • Drawing Lewis structures:

      • count the number of valence e-

      • Arrange atoms with the least e-neg in the center(C is always in the middle and H is never in the middle) - Use FON=ClBrISC=H

      • Connect each outer atom to the center(each line is two electrons)

      • add dots of pairs to each electron till none are remaining

      • Complete missing octets

      • Assign formal charges

        • FC = valence e -(1/2 bonding e - sticks)-(lone pair e - dots)

      • Always check the number of e, octet rule obeyed, formal charges add up to total charge, the smallest set of FC, + charges on fewer e-neg atoms and - charges on more e-neg atoms

    • Sets of electrons also determine hybridization → count each bond and lone pair as one group

      • 2 groups = sp linear ex. CO2

      • 3 groups = sp² trigonal planar

      • 4 groups = sp³ tetrahedral

    • The lone pairs on the molecule determine the molecular shape

      • AX4 = tetrahedral ex. CH4

      • AX3E = trigonal pyramidal ex. NH3

      • AX2E2 = bent ex. H2O

        • All have the same bond angles but different shapes

  • Chemical bonding: these bonds form when electrons are shared between two atoms as their orbitals overlap

    • More electrons shares make a stronger bond

    • A shorter distance between atoms makes a stronger bond

    • Stronger bonds have higher dissociation energies

    • Breaking bonds is always endothermic

    • Ionic or covalent bond types

    • Electronegativity determines the bond → if higher EN, then the bond is polar and e are not shared equally; if small EN, then the bond is shared equally and non-polar

      • Covalent bonds: formed between non-metal-non-metal → high EN - these compounds are insulators

      • Metallic bonds are formed between atoms with low EN metal-metal - these compounds are conductors and malleable

      • Coordinate covalent bonds are formed between atoms with lone pairs and e-deficient - ligands ex. hemoglobin

      • Ionic bonds are formed with particles of opposite charges anions-cations - these are insulators and brittle

  • Intermolecular Forces: when opposite charges attract each other - larger charges, stronger IMF and more tightly held together

    • Ion-dipole forces - between ions and polar molecules

    • Dipole-Dipole forces - between polar molecules and easier to cleave

    • Dipole-induced-dipole - between polar and non-polar - bigger e cloud and polarity from polar molecule but very easily cleaved

    • London Dispersion - temporary small dipoles formed by collisions - very weak

    • Hydrogen bonding - between very polar molecules with donors being (N-H, O-H, F-H) and acceptors being (O:, N:, F:)

      • Strongest bonds highest to lowest: Ionic>Covalent>Coordinate Covalent>Metallic

      • Strongest IMFs: Ion-dipoles>H-bond>Di-di>di-induced-di>LDF

  • Chemical Thermodynamics

    • Enthalpy(H) → The energy stored within chemical bonds or any attractive forces

    • the change in enthalpy of a reaction is the difference between energy stored in reactant vs products - delta H reaction can be high or low

      • Low H is exothermic(-) Forming bonds

      • High H is endothermic(+)Breaking bonds

    • Enthalpies of formation is the amount of energy associated with forming One mole of compound = sum of products-sum of reactants

      • Enthalpy is independent of its pathways - Hess’s law requires a combination of two or more reactions to find the enthalpy for the overall reaction

    • Entropy(S) = potential randomness - more particles, changing phases, increase temperature → all increases entropy

    • Gibbs free energy: energy available to do work

      • G = H - TS

        • Spontaneous process is exergonic → G is negative

        • non-spontaneous is endergonic → G is positive

Class 3 - 27/06/24:

  • Phases transitions → solid, liquid, gas, ideal gas

    • The IMFs decrease as the substance becomes more ‘liquidy’

    • Heat is absorbed going to gas, and released going to solid

  • Triple Point: the point where all 3 phases coexist

  • critical point: where the difference between liquid and gas is no longer distinct

  • Calorimetry: the science of measuring the changes to determine heat transfer - using a calorimeter

  • Heat of transition: the amount of E to complete a transition

  • heat of fusion: the amount of heat to be absorbed to change from solid to liquid

  • Heat of vapourization: teh amount of heat to be absorbed to change from liquid to gas

  • ΔH = molar enthalpy of change(kJ/mol)

  • n = number of moles of substance

  • q = mcΔT → adding heat can also raise the temp of a substance by increasing the kinetic E

  • Density: a measure of how condensed a substance is

    • p = m/v

    • IMF is inversely proportional to p

  • Boiling point: the temperature at which the condensation/vapourization phase transition happens

  • Melting and freezing point: the temperature at which fusion and crystallization occurs

  • Solution: a homogenous mixture of two or more substances → solvent is usually water

  • Electrolyte: a solute that is dissolved

  • van’T Hoff Factor: the number of articles produced in a solution per mole of a substance

  • electrolytes dissolve in water

  • polar non-electrolytes dissolve in water

  • non-polar non-electrolytes do not dissolve in water

    • Like-dissolves-like

  • Solubility: the amount of a substance that can dissolve in a specific solvent at a specific temperature

    • Unsaturated - too cold → still can add more solute

    • Saturated - just right → solvent=solute

    • Supersaturated → too hot → too much solute, produces a precipitate

  • Electrolytes in WATER:

  • Ideal gas: has ZERO IMFs - particle size is negligible volume compared to container size

    • Has Ek proportional to temp

    • ideality favoured with high temp and low pressure

  • Avogadro’s law: the volume of an ideal gas is proportional to the number of particles in the container at the given time, regardless of the identity of the gas

  • STP = 0°C and 1 atm

  • Two variable Gas Law’s

    • Boyle’s Law: P is inversely related to V → p1v1 = p2v2

    • Charles Law: t is directly proportional to V → v1/t1 = v2/t2

    • Gay-Lussacs Law: P is directly proportional to T → p1/t1 = p2/t2

  • Pressure: 1atm = 1000mL = 1000 cm³ = 0.001 m³

  • Temperature must be in the absolute temperature scale = Kelvin → °C + 273 = K

  • Combined Gas Law → Boyle’s and Charle’s

    • p1v1/t = p2v2/t

  • Ideal Gas Law: PV = nRT

    • R = gas constant(0.08 Lxatm/Kxmol)

  • Ideal pressure will always be greater than real pressure(since real gas do experience IMFs)

  • Ideal volume will have more free space in a container than a real gas

  • Dalton’s Law: states that the total pressure of a mixture of gases is equal to the sum of their partial pressures

  • Graham’s Law of Diffusion/Effusion: the rate of diffuse/effusion of a gas is inversely related to the square root of its molar mass

    • Rate gas 1/rate gas 2 = √(molar mass gas2/molar mass gas1)

    • Heavy particles move slowly and light particles move quickly

  • At 1 mole He gas, takes up 22.4L of volume at ideal temperatures

  • P vs. T = direct relationship → higher pressure, higher temperature

  • P vs. V = indirect relation → higher pressure, lower volume

  • V vs. T = direct relation → higher volume, higher temperature

  • P vs. n = direct relation → higher pressure, moles increase

  • V vs. n = direct relation → as volume increases, moles increase

Class 4 - Kinetics and Equilibrium

  • Reaction Coordinate graph

  • Ea is the difference between the reactant E and the highest E transition

  • Highest Peak = slowest step(rate-limiting step)

  • Reaction rate = change in concentration of a reactant or product over a change in time

    • rate = -1/r x [R]/t = + 1/p x [P]/t → reactants will be (-) and products positive since we gain them

    • The rate of the reaction will always have a positive rate in the forward direction

    • rR → pP

  • Anything with the same coefficients will have the same rate of change

  • Rate of reaction = to the compound in the stoichiometric equation with a 1 in front of it

  • Collision Theory: reactants must collide at a faster rate

    • Increase temp

    • increase pressure, lower volume

    • increase concentration of reactants

    • adjusting molecules to a proper orientation by the addition of a catalyst → quicker reaction

    • cause activation E to change → lower it by adding a catalyst or increasing temperature

  • Rate constant = the more successful the reaction, the higher the K value

    • K is inversely proportional to the Ea → Ea higher, lower K

    • K is directly proportional to the temperature

  • Reaction Mechanism:

    • Catalysts

    • Intermediate

    • Transition states

  • Rate Laws: give rate in terms of initial [C] and rate constant for the process

    • Rate = k[R]^r rR → pP

    • Only for elementary steps and not the overall reaction and solids and solvents not included

  • Write out rate law, make sure powers of 10 are the same, and make sure the order of two different trials is the same

    • 0th - no collision - different [C] but same rate overall

    • 1st - one collision - double [C], doubles rate

    • 2nd - anything else that doesn’t match

    • rate constant can be found from a single trial

  • Dynamic Equilibrium = forward and reverse rates are equal - [C] will be consistent at equilibrium

    • K = [P]^p/[R]^r → K can only be calculated at equilibrium

  • Any K value will always be at equilibrium → K is unitless

    • K >1 → More products

    • K < 1 → More reactant

    • K = 1 → Both P and R are the same

  • Kc = [C]

  • Kp = pressure

  • Kb = dissociations

  • Ka = acids

  • Kb = base

  • Kf = formation

  • Ksp = solubility

  • Reaction Quotients → described the distance from Equilibrium → ratio of initial product/reactant [C]

    • Q > K → more products, the reaction goes in the reverse direction

    • Q = K → at equilibrium

    • Q < K → more reactants, the reaction goes in the forward direction

  • Delta G = G° + RT lnQ

    • Q>K → reverse → delta G is + → non-spontaneous in forward, but spontaneous in reverse

    • Q<K → forward → delta G is - → spontaneous in forward direction

    • Delta G = 0 → Q=K at equilibrium

  • delta G° = -RT lnK

    • K»1 → more products, delta G° becomes negative

    • K«1 → more reactants, delta G° becomes positive

    • K = 1 → delta G° is 0

  • Le Châtelier’s Principle

    • a system in equilibrium, will shift to decrease stress when stressed

    • Solids and liquids don’t affect equilibrium

  • Increase V, less pressure → shift to more moles of gas side

  • Decrease V, increase pressure → shift to less gas side

  • Treat Temperature like a product/reactant

    • If Endothermic, heat is → used up → reactant

      • + delta H

    • If Exothermic, heat is → produced → product

      • - delta H

    • Temp change Q and K → only way to change K value(applies to all K values)

  • Multiple Equilibria → Some things can change other reactions(chain reaction)

  • At equilibrium, forward = reverse

  • Formation Equilibrium → equilibrium of a coordination complex

    • Reversing equilibrium

    • Combining equilibrium means multiplying the K

  • Solubility Equilibrium: dissolving salts into water → cationic and anionic parts

    • Ksp(solubility) → use of ions only that are aqueous

    • Molar solubility = mol solute/L solution

      • More molar solubility, more solubility of the salt

  • ICE Tables

  • Qsp = [Ion A][Ion B]…

    • Qsp > Ksp → supersaturated → can form precipitate

    • Qsp = Ksp → saturated = equilibrium

    • Qsp < Ksp → unsaturated

  • Common Ion effect: salt’s solubility decreases if a common ion is added to the solution

    • If add an acid, acid/base reaction could happen → solubility will increase if common ion removed

  • Kd = dissociation

  • Kaff → affinity

    • putting it together, reaction reversed → inverse of the dissociation constant

  • Kaff = 1/Kd

  • Kinetics = rate, mechanism, catalyst, Ea

  • Thermodynamics = stability, equilibrium, spontaneity, enthalpy/entropy, free E

Class 5 - Acids and Bases

M

MCAT General Chemistry

Class 1 - 06/06/24:

  • Atoms - smallest unit of any element - has protons, neutrons, and electrons

    • p = +1, mass = 1amu

    • e = -1, mass = 0amu

    • n = 0, mass = 1amu

  • Atomic number = Z, the number of p*

  • Mass number = p*+n

  • The charge = p-e

    • Cations and anions are ions

      • C>0 = cation → +

      • C<0 = anion → -

      • C=0 = atom level

  • Isotopes: two atoms of the same element that differ in their number of neutrons - determined by mass number

  • Bohr model of the atom:

    • Electrons orbit at a fixed distance from the nucleus - the orbit decreases with distance from the nucleus - as we move away, the ends come closer and energy increases with distance from the nucleus

  • Electrons absorb only specific allowed E(due to fixed quantities of E)

    • Current orbit = ground state

    • Higher E orbit = excited state

    • Ephoton = Ef-Ei

    • e- in an excited state can come to a lower level to emit a photon - when dropped, the e- becomes relaxed

  • Hydrogen Absorption spectrum = dark bands on a bright background(absorb, so black line)

  • Hydrogen Emission spectrum = bright bands on a dark background(emit, so bright lines)

  • The Energy of a photon is related to its wavelength(λ lambda) and frequency(f)

    • E = hf = hc/λ → Wavelength and frequency are inversely related - when f is high, λ is low, E is high; when f is low, λ is high, E is low

  • E- exists in 3D orbitals and 4 quantum number describe their structures(orbitals are the areas around the nucleus where an e- is most likely to be found)

    • s, p, d, f → s being lowest in E and F in highest E

    • ex. boron= 1s2 2s2 2p1 → goes by block and row of the periodic table

  • 3 basic rules for Electron filling:

    • Pauli principle: there can be no more than 2 e- in any given orbital(spin up and down)

      • e- cannot be the same, hence, different spins

    • Aufbau principle: E- occupies the lowest orbitals first and is filled in increasing E

      • exception is 3d and 4s → 4s are removed before 3d

    • Hund’s Rule: E- first occupy an orbital singly then pair up(no orbital left empty)

  • Anomalous electron configurations: when some elements prefer to be half-filled or filled by taking an e from 4s and putting it into 3d ex. Cr and Cu

  • Paramagnetic = at least one unpaired e-

  • Diamagnetic = all e- are paired ex. noble gases

  • Ground state e-configuration: the ground state is the lowest e configuration → correct amount of e as the element has

  • Excited state e-configuration: the element has jumped an orbital but it has not changed the amount of electrons as it originally had

  • A half-filled shell is more stable than one that isn’t; filled one is the most stable ex. noble gases

  • Valence shell configurations of elements determine the chemical reactivity of the elements → Elements in the same group show similar characteristics ex. noble gases as calm due to their octet shells, while halogens are reactive gases with 1 e-missing

  • Valence shell electrons experience electrostatic attraction due to the nucleus → shielding effect

    • force of electrostatic attraction is proportional to Zeff + C/r²

  • Atomic radius increases going down right to left

  • Ionization E increase going up from left to right

  • Electron affinity(negativity) increases going up from left to right

  • Electronegativity increases going up from left to right

    • FON=ClBrISC=H

  • Acidity increases going down left to right down

Class 2: 11/06/24:

  • Molecular Structure

    • Drawing Lewis structures:

      • count the number of valence e-

      • Arrange atoms with the least e-neg in the center(C is always in the middle and H is never in the middle) - Use FON=ClBrISC=H

      • Connect each outer atom to the center(each line is two electrons)

      • add dots of pairs to each electron till none are remaining

      • Complete missing octets

      • Assign formal charges

        • FC = valence e -(1/2 bonding e - sticks)-(lone pair e - dots)

      • Always check the number of e, octet rule obeyed, formal charges add up to total charge, the smallest set of FC, + charges on fewer e-neg atoms and - charges on more e-neg atoms

    • Sets of electrons also determine hybridization → count each bond and lone pair as one group

      • 2 groups = sp linear ex. CO2

      • 3 groups = sp² trigonal planar

      • 4 groups = sp³ tetrahedral

    • The lone pairs on the molecule determine the molecular shape

      • AX4 = tetrahedral ex. CH4

      • AX3E = trigonal pyramidal ex. NH3

      • AX2E2 = bent ex. H2O

        • All have the same bond angles but different shapes

  • Chemical bonding: these bonds form when electrons are shared between two atoms as their orbitals overlap

    • More electrons shares make a stronger bond

    • A shorter distance between atoms makes a stronger bond

    • Stronger bonds have higher dissociation energies

    • Breaking bonds is always endothermic

    • Ionic or covalent bond types

    • Electronegativity determines the bond → if higher EN, then the bond is polar and e are not shared equally; if small EN, then the bond is shared equally and non-polar

      • Covalent bonds: formed between non-metal-non-metal → high EN - these compounds are insulators

      • Metallic bonds are formed between atoms with low EN metal-metal - these compounds are conductors and malleable

      • Coordinate covalent bonds are formed between atoms with lone pairs and e-deficient - ligands ex. hemoglobin

      • Ionic bonds are formed with particles of opposite charges anions-cations - these are insulators and brittle

  • Intermolecular Forces: when opposite charges attract each other - larger charges, stronger IMF and more tightly held together

    • Ion-dipole forces - between ions and polar molecules

    • Dipole-Dipole forces - between polar molecules and easier to cleave

    • Dipole-induced-dipole - between polar and non-polar - bigger e cloud and polarity from polar molecule but very easily cleaved

    • London Dispersion - temporary small dipoles formed by collisions - very weak

    • Hydrogen bonding - between very polar molecules with donors being (N-H, O-H, F-H) and acceptors being (O:, N:, F:)

      • Strongest bonds highest to lowest: Ionic>Covalent>Coordinate Covalent>Metallic

      • Strongest IMFs: Ion-dipoles>H-bond>Di-di>di-induced-di>LDF

  • Chemical Thermodynamics

    • Enthalpy(H) → The energy stored within chemical bonds or any attractive forces

    • the change in enthalpy of a reaction is the difference between energy stored in reactant vs products - delta H reaction can be high or low

      • Low H is exothermic(-) Forming bonds

      • High H is endothermic(+)Breaking bonds

    • Enthalpies of formation is the amount of energy associated with forming One mole of compound = sum of products-sum of reactants

      • Enthalpy is independent of its pathways - Hess’s law requires a combination of two or more reactions to find the enthalpy for the overall reaction

    • Entropy(S) = potential randomness - more particles, changing phases, increase temperature → all increases entropy

    • Gibbs free energy: energy available to do work

      • G = H - TS

        • Spontaneous process is exergonic → G is negative

        • non-spontaneous is endergonic → G is positive

Class 3 - 27/06/24:

  • Phases transitions → solid, liquid, gas, ideal gas

    • The IMFs decrease as the substance becomes more ‘liquidy’

    • Heat is absorbed going to gas, and released going to solid

  • Triple Point: the point where all 3 phases coexist

  • critical point: where the difference between liquid and gas is no longer distinct

  • Calorimetry: the science of measuring the changes to determine heat transfer - using a calorimeter

  • Heat of transition: the amount of E to complete a transition

  • heat of fusion: the amount of heat to be absorbed to change from solid to liquid

  • Heat of vapourization: teh amount of heat to be absorbed to change from liquid to gas

  • ΔH = molar enthalpy of change(kJ/mol)

  • n = number of moles of substance

  • q = mcΔT → adding heat can also raise the temp of a substance by increasing the kinetic E

  • Density: a measure of how condensed a substance is

    • p = m/v

    • IMF is inversely proportional to p

  • Boiling point: the temperature at which the condensation/vapourization phase transition happens

  • Melting and freezing point: the temperature at which fusion and crystallization occurs

  • Solution: a homogenous mixture of two or more substances → solvent is usually water

  • Electrolyte: a solute that is dissolved

  • van’T Hoff Factor: the number of articles produced in a solution per mole of a substance

  • electrolytes dissolve in water

  • polar non-electrolytes dissolve in water

  • non-polar non-electrolytes do not dissolve in water

    • Like-dissolves-like

  • Solubility: the amount of a substance that can dissolve in a specific solvent at a specific temperature

    • Unsaturated - too cold → still can add more solute

    • Saturated - just right → solvent=solute

    • Supersaturated → too hot → too much solute, produces a precipitate

  • Electrolytes in WATER:

  • Ideal gas: has ZERO IMFs - particle size is negligible volume compared to container size

    • Has Ek proportional to temp

    • ideality favoured with high temp and low pressure

  • Avogadro’s law: the volume of an ideal gas is proportional to the number of particles in the container at the given time, regardless of the identity of the gas

  • STP = 0°C and 1 atm

  • Two variable Gas Law’s

    • Boyle’s Law: P is inversely related to V → p1v1 = p2v2

    • Charles Law: t is directly proportional to V → v1/t1 = v2/t2

    • Gay-Lussacs Law: P is directly proportional to T → p1/t1 = p2/t2

  • Pressure: 1atm = 1000mL = 1000 cm³ = 0.001 m³

  • Temperature must be in the absolute temperature scale = Kelvin → °C + 273 = K

  • Combined Gas Law → Boyle’s and Charle’s

    • p1v1/t = p2v2/t

  • Ideal Gas Law: PV = nRT

    • R = gas constant(0.08 Lxatm/Kxmol)

  • Ideal pressure will always be greater than real pressure(since real gas do experience IMFs)

  • Ideal volume will have more free space in a container than a real gas

  • Dalton’s Law: states that the total pressure of a mixture of gases is equal to the sum of their partial pressures

  • Graham’s Law of Diffusion/Effusion: the rate of diffuse/effusion of a gas is inversely related to the square root of its molar mass

    • Rate gas 1/rate gas 2 = √(molar mass gas2/molar mass gas1)

    • Heavy particles move slowly and light particles move quickly

  • At 1 mole He gas, takes up 22.4L of volume at ideal temperatures

  • P vs. T = direct relationship → higher pressure, higher temperature

  • P vs. V = indirect relation → higher pressure, lower volume

  • V vs. T = direct relation → higher volume, higher temperature

  • P vs. n = direct relation → higher pressure, moles increase

  • V vs. n = direct relation → as volume increases, moles increase

Class 4 - Kinetics and Equilibrium

  • Reaction Coordinate graph

  • Ea is the difference between the reactant E and the highest E transition

  • Highest Peak = slowest step(rate-limiting step)

  • Reaction rate = change in concentration of a reactant or product over a change in time

    • rate = -1/r x [R]/t = + 1/p x [P]/t → reactants will be (-) and products positive since we gain them

    • The rate of the reaction will always have a positive rate in the forward direction

    • rR → pP

  • Anything with the same coefficients will have the same rate of change

  • Rate of reaction = to the compound in the stoichiometric equation with a 1 in front of it

  • Collision Theory: reactants must collide at a faster rate

    • Increase temp

    • increase pressure, lower volume

    • increase concentration of reactants

    • adjusting molecules to a proper orientation by the addition of a catalyst → quicker reaction

    • cause activation E to change → lower it by adding a catalyst or increasing temperature

  • Rate constant = the more successful the reaction, the higher the K value

    • K is inversely proportional to the Ea → Ea higher, lower K

    • K is directly proportional to the temperature

  • Reaction Mechanism:

    • Catalysts

    • Intermediate

    • Transition states

  • Rate Laws: give rate in terms of initial [C] and rate constant for the process

    • Rate = k[R]^r rR → pP

    • Only for elementary steps and not the overall reaction and solids and solvents not included

  • Write out rate law, make sure powers of 10 are the same, and make sure the order of two different trials is the same

    • 0th - no collision - different [C] but same rate overall

    • 1st - one collision - double [C], doubles rate

    • 2nd - anything else that doesn’t match

    • rate constant can be found from a single trial

  • Dynamic Equilibrium = forward and reverse rates are equal - [C] will be consistent at equilibrium

    • K = [P]^p/[R]^r → K can only be calculated at equilibrium

  • Any K value will always be at equilibrium → K is unitless

    • K >1 → More products

    • K < 1 → More reactant

    • K = 1 → Both P and R are the same

  • Kc = [C]

  • Kp = pressure

  • Kb = dissociations

  • Ka = acids

  • Kb = base

  • Kf = formation

  • Ksp = solubility

  • Reaction Quotients → described the distance from Equilibrium → ratio of initial product/reactant [C]

    • Q > K → more products, the reaction goes in the reverse direction

    • Q = K → at equilibrium

    • Q < K → more reactants, the reaction goes in the forward direction

  • Delta G = G° + RT lnQ

    • Q>K → reverse → delta G is + → non-spontaneous in forward, but spontaneous in reverse

    • Q<K → forward → delta G is - → spontaneous in forward direction

    • Delta G = 0 → Q=K at equilibrium

  • delta G° = -RT lnK

    • K»1 → more products, delta G° becomes negative

    • K«1 → more reactants, delta G° becomes positive

    • K = 1 → delta G° is 0

  • Le Châtelier’s Principle

    • a system in equilibrium, will shift to decrease stress when stressed

    • Solids and liquids don’t affect equilibrium

  • Increase V, less pressure → shift to more moles of gas side

  • Decrease V, increase pressure → shift to less gas side

  • Treat Temperature like a product/reactant

    • If Endothermic, heat is → used up → reactant

      • + delta H

    • If Exothermic, heat is → produced → product

      • - delta H

    • Temp change Q and K → only way to change K value(applies to all K values)

  • Multiple Equilibria → Some things can change other reactions(chain reaction)

  • At equilibrium, forward = reverse

  • Formation Equilibrium → equilibrium of a coordination complex

    • Reversing equilibrium

    • Combining equilibrium means multiplying the K

  • Solubility Equilibrium: dissolving salts into water → cationic and anionic parts

    • Ksp(solubility) → use of ions only that are aqueous

    • Molar solubility = mol solute/L solution

      • More molar solubility, more solubility of the salt

  • ICE Tables

  • Qsp = [Ion A][Ion B]…

    • Qsp > Ksp → supersaturated → can form precipitate

    • Qsp = Ksp → saturated = equilibrium

    • Qsp < Ksp → unsaturated

  • Common Ion effect: salt’s solubility decreases if a common ion is added to the solution

    • If add an acid, acid/base reaction could happen → solubility will increase if common ion removed

  • Kd = dissociation

  • Kaff → affinity

    • putting it together, reaction reversed → inverse of the dissociation constant

  • Kaff = 1/Kd

  • Kinetics = rate, mechanism, catalyst, Ea

  • Thermodynamics = stability, equilibrium, spontaneity, enthalpy/entropy, free E

Class 5 - Acids and Bases

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