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Chemical kinetics
study of speeds of reactions and nanoscale pathways/ rearrangements by which atoms and molecules are transformed from reactants to products
homogeneous reaction
reactants and products are all in same phase
Factors that affect speed of reaction
1properties of reactants and products 2concentrations of reactants and sometimes products 3temperature 4presence of catalyst and its concentration
heterogeneous reactions
take place at surface; interface between two different phases; rate depends on area and nature of surface at which reaction occurs
rate
change in some measurable quantity per unit of time; speed of process
reaction rate
change in concentration of a reactant or product per unit time; change in concentration of one reactant divided by change in time
Reaction rates and stoichiometry
rate of change in concentration of any reactant or product multiplied by reciprocal of stoichiometric coefficient to find rate of reaction
Average reaction rate
reaction rate calculated from change in concentration divided by change in time; smaller as concentration of one or more reactants decreases
Instantaneous reaction rate
rate at particular time after reaction has begun; slope of line tangent to concentration-time curve at point corresponding to specified concentration and time
Rate law
mathematical equation that summarizes relationship between reactant concentration and reaction rate
Rate constant, k
proportionality constant of rate law equation; independent of concentration but has different values at different temperatures (usually becomes larger as temperature increases)
initial rate
instantaneous rate determined at very beginning of reaction; good approximation is to calculate -delta[reactant]/delta t after no more than 2% of limiting reactant has been consumed
rate law of most homogeneous reactions
rate=k[A]m[B]n
Integrated rate law for first-order reaction
rate=(-delta[A]/deltat)=k[A]
Linearized integrated rate law of first-order reaction
Ln[A]t=(-kt)+ln[A]0
Graph first-order reaction
ln[A] on y-axis and t on x-axis; ln[A]0=y-intercept, -k=slope
Integrated rate law for second-order reaction
Rate=k[A]2
Linearized integrated rate law for second-order reaction
1/[A]t=kt+(1/[A]0)
Graph second-order reaction
1/[A]t vs. t; slope=(-k), y-intercept=1/[A]0
Integrated rate law for zeroth-order reaction
Rate=(-delta[A]/deltat)=k[A]0=k
Linearized integrated rate law zeroth-order rate law
[A]t=kt+[A]0
Graph of zeroth-order reaction
At vs. t; slope=(-k), y-intercept=[A]0
Rate=
(-delta[A]/deltat)=k[A]m
Half-life
time required for concentration of reactant A to fall to one half its initial value
T1/2=
(-ln2/-k)=.693/k
Unimolecular reactions
structure of a single particle rearranges to produce different particle or particles; has a molecularity of one
Bimolecular reactions
two particles collide and rearrange bonds to form products; has a molecularity of two
Elementary reactions
simplest nanoscale reactions
Transition state/ activated complex
structure at the top of an energy diagram
Activation energy
minimum energy required to surmount energy barrier
delta Eo for reaction
difference between Ea for forward and reverse reactions
Steric factor
depends on 3d shapes of reacting molecules; only a collision from particular side is effective
Reaction rates ___ (increase/ decrease) with temperature
increase
Arrhenius equation
k=Ae-Ea/RT
R for Arrhenius equation
8.314 j/molK
E
2.718
Linearized Arrhenius equation
ln(k)=ln(A)+(-Ea/RT)
Graph of linearized Arrhenius equation
ln(k) on y axis and 1/t on x-axis; slope is -Ea/R and y-intercept is ln(A)
Reaction mechanism
set of elementary reaction equations, each with its own Ea and k
Rate-limiting step
slowest step of the sequence; limits rate at which other steps/ overall reaction can occur
Rate-limiting step
atoms, molecules, or ions that are produced in one step and consumed in a later step
Catalyst
participates in reaction mechanism to increase reaction rate; rate-limiting step has lower Ea
Homogeneous catalyst
catalyst is present in the same phase as reacting substance
Enzyme
highly efficient catalyst for one or more chemical reactions in a living system
Globular proteins
polymers of aas in which one or more long chains of aas fold into a nearly spherical shape
Cofactors
inorganic or organic molecules or ions that work with enzymes to perform catalysis
Substrate
molecule whose reaction is catalyzed by an enzyme
Active site
part of enzyme molecule that interacts with substrate via same kinds of noncovalent attractions that hold enzyme in its globular structure
Induced fit
change in shape of either the enzyme, substrate, or both when they bind; can lower Ea; can stretch bonds and make them easier to break
Noncovalent attractions that hold enzyme in globular structure
Hydrogen bonds, attractions of opposite ionic charges, dipole-dipole and ion-dipole forces
Reasons enzymes are extremely effective
1bring substrates into close proximity and hold while rxn occurs 2hold substrates in most effective shape 3act as acids and bases 4PE of bond distorted by induced fit is already partway up activation energy hill 5sometimes contain metal ions
Maximum rate
increasing concentration of substrate does not increase rate of reaction because enzyme is limiting
Denaturation
Increased motion as temperature increases; can disrupt structures of enzymes and other proteins; globular protein loses coiled structure, properties change; active site no longer available
Inhibitor
molecule or ion that can fit in active site but do not react; decreases effective concentration and rate of reaction
Heterogeneous catalysis
present in different phase from that of reactants being catalyzed; usually catalyst is a solid; used in industry because they are more easily separated from products and leftover reactants
Reaction Rate=
-delta[R]/deltat
Reaction rate units
(moles/L)/sec
Half life=
1/2 [A]0
____(equation) gives fraction of all reactant molecules that have sufficient energy to surmount activation energy barrier
e-Ea/RT

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