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Kinetics
the area of chemistry that is concerned with reaction rates
Spontaneous reactions
reactions that occurs under a specific set of conditions without interference (not necessarily quickly)
Rate unit
M/s or mol/ (L^-1*s^-1)
4 Factors that Affect Reaction Rates
concentration of reactants
Temperature
Physical state of reactants
Presence of catalyst
Concentration of reactants as factor
as concentration increases, so does the likelihood that reactant particles will collide. (Bc particles closer together)
If there is more contact between the reactant particles, the rate will be faster
Temperature as a factor
as higher temperatures, reactant particles have more kinetic energy and move faster, colliding more. If there is more contact between the reactant particles, the rate will be faster
Physical state of the reactants as a factor
in order to react, particles must come i contact with each other. If there is more contact (gas>liquids>solids) between reactant particles, then the rate will be faster
Presence of Catalyst
speed up reactions by changing the mechanism of the reaction (how the particles come tg)
Not consumed and neither a reactant or product
Ex. Enzymes, potassium iodide (H2O2 decomposition)
When particles collide, they must…
Have enough energy for bonds to break and reform
Be oriented correctly for the new bonds to form
Kinetic Molecular Theory/Collision Theory
molecules collide with each others
These collisions cases bonds to break and new bonds to form
Orientation of bonds is important to form new bonds
Average rate of change for A offer the first t units
change in concentration of a reactant or product per unit time
Rate = change of [A]/change of t
Average rate of appearance and disappearance
average rate of appearance = change of [A]/change of time
Average rate of disappearance = - change of [A]/change of time
Average Rate Stoichiometry
Rate = -1/a change in [A]/change in [t] = -1/b change in [B]/change in [t] = 1/c change in [C]/change in [t] = 1/d change in [D]/change in [t]
Average rate
Slope of secant line
rise/run
Instantaneous rate
slope of a line tangent to the cure at given point
Initial rate
instantaneous rate calculated infinitely close to the beginning of a reaction
Can be compared to other reactions
If negative, demonstrates disappearance
Differential rate law
expresses how rate depends on concentrations
K[A]^n
K = rate constant and n = rate order
n must be determined thru experimentation
Integrated rate law
expresses how concentration depends on time
Zero order
When rate does not change when the concentration of a reactant changes
First order
the rate is based on the factor that the concentration of a given reactant changes by (exponent = 1)
Second order
rate is based on the factor that the concentration of a reactant changes by squared (exponent = 2)
Overall reaction order
Sum of the order of each component/reactant in the rate law
How to find the unit of the rate constant?
Set M/s (rate) = k * M^n. Plugging in n for the overall order of the reaction, you can find the unit of k.
First order differential rate law
rate = k[A]
First order integrated rate law
Ln[A] - ln[A0] = -k*t
Zero order differential rate law
Rate = k
Zero order integrated rate law
[A0] - [A] = - k*t
If plot of ln[A] vs. t is a straight line
reaction is first order
If plot of [A] vs. time is a straight line
Reaction is zero order
Half life of First-order reactions
time required for a reactant to reach half its original concentration
Half life of first order reactions
T1/2 = 0.693/k
Second order differential rate law
Rate = k[A]²
2nd order Integrated rate law
1/[A] - 1/[A0] = kt
If the plot of 1/[A] vs. time is a straight line
The reaction is second order
Half life of a second order reaction
T1/2 = 1/(k*[A0])
half life gets longer as the reaction progresses and the concentration of the reactants dec
Each successive half-life is double the preceding one
Half life of the zero order reaction
T1/2 = [A]0/2k
Relationship of rate constant to the slope of the straight line produced by first order
slope = -k
Relationship of a rate constant to the slope of straight line in first order reaction
Slope = -k
Relationship of rate constant to the slope of straight line in second order reaction
Slope = k
Rate Law Proportion
Rate1/rate2 = k[A1/A2]^m * [B1/B2]^n
Reaction mechanism
the series of steps by which a chemical reaction occurs
Bc a chemical equation does not tell us how the reactants become roducts - its simply a summary of the overall process
Elementary steps
individual steps that make up the overall reaction Mechanism (add to find overall reaction)
Intermediates in elementary steps
species formed as a product in one step then used up as a reactant in another step
Catalyst in elementary steps
a species that is a reactant in one step then a product in another
Molecularity in Elementary steps
refers to how rate laws are written for individual elementary steps
Does not refer to the overall reaction order
Unimolecular
elementary step reaction involving one molecular, first order
Bimolecular
reaction of elementary steps involving the collision of two species; second order
Termolecular
elementary step Reaction involving the collision of three species; third order
Very rare
Rate-determining step
slowest step of the reaction
Determines the rate law and molecularity of the overall reaction
Mechanism Evaluation to reach overall reaction equation
elementary steps can be flipped (rate constant becomes 1/k)
Elementary steps may be multiplied by a whole number (k doesn’t change)
Order of cancellation
cancel out catalyst first diagonally from left to right
Cancel our intermediates next diagonally from right to left
Elementary steps rate laws
can use stoichiometry to determine order (if 2 before then second order, etc.)
If the rate law of the RDS includes a catalyst or intermediate then substitute it with a solved equilibrium step
How are the factors that affect rate shown in rate law.
Concentration seen in main part with orders
Temperature, physical state, and catalyst reflected in k
Activation energy (Ea)
energy that must be overcome to produce a chemical reaction
Distance between reactants and top of peak
Transition state is at these peaks
Exothermic reaction
Products have less energy than reactants b/x energy as heat was lost
Endothermic reaction
products have more energy than reactants b/c energy as heat gained
Transition state
a species that exists momentarily as reactants become products
When a molecule is in its transition state, it will form an “activation complex”
If A + BC → AB + C
Transition state would be ABC, an activation complex for the briefest moment
A in the Arrhenius Equation
represents the frequency of molecular collisions with the correct orientation to lead to a reaction
How many elementary steps in the mechanism model?
Count number of peaks
Where intermediates on model for chemical kinetics?
product in on step then a reactant in next step
Located in valleys of the graph
RDS based on model for chemical kinetics
highest peak
Catalyst def
a substance that speeds up a reaction w/o being consumed
Enzyme def
a large molecular (usually a protein) that catalyzed biological reactions
Homogenous catalyst
present in the same phase as the reacting molecules
Heterogenous catalyst
present in a different phase than the reacting molecules
Catalyst does what for pathway of reaction
allow reactions to proceeds by a different mechanism - a new pathway
New pathway has a lower activation energy
Caveat to catalysis
will speed up a reaction but only to a certain point.
Past a certain point making more reactants won’t change the rate b/c the active sites are all full (zero order at this point)
What specifically does concentration do for the collision model?
allows for more collisions due to closer proximity
What specifically does temperature for the collision model?
high temperatures make the average kinetic energy > Ea)
What specifically does the physical state (surface area) do for the collision model?
looser/more free flowing states provide more surface area and therefore more collisions are possible
Collision theory
molecules must collide to react
Collisions must have the correct orientation
Collisions must have enough energy
Delta E
change in energy (triangle E)
Difference of Ep -Er
Can be negative if exothermic reaction