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Zero-order processes
evaporation/sublimation with constant surface
decrease in solvent volume does not impact rate of evaporation
Rare
Pseudo zero-order reactions
reactions where catalyst or enzyme is saturated with reactants
Nucleophilic substitution
An electronegative atom or group bonded to a carbon atom is replaced by another
Can be first or second order overall depending on structure
First order reactions (SN1)
I- + Cl-C(CH3)3 —| I-C(CH3)3 + Cl-Reactions that depend on the concentration of one reactant, where the rate is directly proportional to that concentration.
Step 1 where slow c-cl bond cleavage forms carbocation (This is the RDS!)
Step 2 is fast attack of I on carbocation
I doesnt enter until AFTER
Integrated Rate Law: At=A0*e^-kt
Kt is unitless in this case only!
Have constant half lives depend only on k and not A0
Second order reactions SN2
I- + Cl-CH3 —-| 1-CH3 + Cl-
Is first ordrr regarding I- and Me-Cl
Second order bc single concentrated step w both reactants present in RDS
Two types either A² or AB
Rate law is 1/At=kt+1/A0
For reactions that are AB, can be turned into pseudo first order by swamping (vast excess of one reactant) i.e sucrose inversion
Determing order of reaction from the graph
Compare A vs lnA vs 1/A all against t to see which one is linear
What do reaction rates depend on
Collision densiy (colisions per volume per unit per time)
Fraction of molecules with enough kinetic energy
Proper orientation of molecules
Most collisions do not result in a reaction
Transition state
unstable liftime
highest energy point on the lowest energy path b/w reactants and prods
A from Arrhenius equation
Ifnormation abt collision density and geometry
T2=
(1/t1 -Rln(k2/k1)/Ea)^-1
k2=
k1r^ea/R(1/t-1/t1)
Ea=
-Rln(k2/k1)/1/t2-1/t1)
Catalysis
Accelerate reactions w/o being altered
Allow for a different reaction pathway with a reduced activation energy
Homogenous catalysts: same phase as reactants, catalytic activity proportional to the catalysts concentration
Heterogenous catalysts: Different phase as reactions, concentration means number of active sites or surface area
Involves reactant absorption, diffusion along surface, at active site, product desporption
Elementary Steps
Unimolecular (single species dissociates) or bimolecular two species
Are reversible but may not reach equilibrium
Reaction Intermediates
Are species produced in one elementary process and consumed in a later step
Do not appear in overall reaction or rate law
Enzymes
At low {s} reaction is 1st order in S0
At high S is 0 order in S0
Michaelis Menten Equation
kcatEoS/kM+S
Plot v0/E0 vs S
kcat is maximal rate of enzyme corresponding to the experimentally observed limting step \
1st assumption: S0 is much greater than E0 results in S is much greater than E*S and S=S0
2nd assumption: (always true) V0=k2(E*S)
Third assumption: steady state approximation where d(ES)/dt = 0
Km has units of concentration, while kcat has units of rate constant
km is the value of (s) where the rate is ½ maximal
Reaction order changes with (s)
Intermolecular Forces
Play significant role in solids and liquids but not in gases
Affects melting point, boiling point, vapour pressure, surface tension, enthalpy change of phase transitions
Boiling point increases with IMF strength
IMFs in pure substances
London dispersion forces, Dipole-Dipole forces, Hydrogen bonding forces, hydrogen bonding forces NOT ion-dipole forces which are in solution
London dispersion forces
Non polar atom or molecule
Experiences an instantenous dipole which induces a dipole in its neighbour
Strength depends on polarizability (atomic number and size of the molecule)
Branched structures have increased intermolecular contact
Dipole-Dipole forces
Occur in polar molecules
Permanent dipole: bond dipoles and asymmetric shape
Polar molecules are stronger than NP even when similar polarizability
Hydrogen
Between an H atom in a polar bond HN HO HF
Range of strength of IMFs
Dispersion
Dipole-Dipole
H bonding
Ionic/Covalent
Vaporization
Molecules at the surface of a liquid have enough energy to overcome intermolecular forces of attraction and escape to the gas phase
Occurs more readily with incresed temp, surface arrea, decreased IMF strength
vapour pressure
The equilibrium partial pressure of the vapour in the space above the liquid k=Pa
deltag=-RTlnk
pvap influenced by IMF strength inverse rltnship
Temp is not linearly related but proportional
When equal to atmospheric pressure is when liquid boils
Phase Changes
Solid—Liquid—Gas (Endothermic)
Gas—Liquid—Solid (Exothermic)
Triple point
Three phases in equilibrium
Critical point
A temperature and pressure beyond which liquid and gas are indistinguishable
Density of liquid and vapour are zero
Surface tension of liquid approaches zero
Interface b/w l and g dissapears
Substrate Concentration
When very low most of enzyme is unbound, thus efree=enot and adding substrate will rapidly increase
When already saturated will not significantly impact the rate
When is the SSA invalid
When rate at which something is being produced is significantly less than it is disappearing or if there is build up
Are k1 and k-1 equal at equilibrium
No, RATES are the same, constants may differ