Chemical Kinetics Flashcards
What are 5 factors that affect reaction rates
- Physical state of the reactants
- Reactant concentrations
- Reaction Temperature
- Presence of a catalyst
- Surface Area
what must happen for molecules to react
Molecules must collide to react:
Collision frequency is a factor of reaction rate: for gases it depends on Temperature and Pressure
For gas phase reactions at 298k and 1 atm pressure, average 10^30 collisions per mole a second.
Some collisions are unproductive since they must collide in a way that favours the formation of the bonds in the product
What is activation energy
Molecules must collide with enough energy to activate the key bonds in the reaction
The minimum energy to initiate reaction is called the activation energy
Rate depends on the value of Ea.
Ea is the energy barrier that needs to be overcome for the reaction to reach products
Ea can be defined for the forward and for the backwards reaction
Ea (backwards) = Ea (forward) - ∆H (forward)
Ea is the minimum energy required to cause the bonding changed between the atoms in molecules that are involved in the reaction
what is a transient state
Reactants pass through a transient state of higher energy
This transient configuration of atoms is called an activated complex or transition state.
Transient states have very short lifetimes and cannot be isolated. They can be studied using special spectroscopic techniques or computationally.
what are reaction rates
A quantitative definition of the rate of a chemical reaction in terms of the appearance of products or disappearance of reactant.
Rate = change / time it took for the change
Rate = [final] - [initial] / tf - ti
Rate = ∆[products]/∆t
This gives the average rate for the time interval ∆t, but does not give the instantaneous rate at any specific time
does rate change over time
Rates decrease as reaction proceeds:
higher concentration of reactants at earlier times = faster reaction
Concentration of reactants decrease as the reaction progresses = reaction slows down
Rates are positive, so when calculating from the disappearance of reactants, a minus sign must be added
Average rate = -∆[reactants]/∆t
what are initial and instantaneous rates
Initial reaction rate is the instantaneous rate at time = 0, the rate of reaction when the reactants are bought together.
Instantaneous rate is the rate at a particular moment (a single point in time): slope of tangent to curve at a particular time point.
How do the average rates of appearance vs disappearance related
Rate of appearance and disappearance of products and reactants are related by the stoichiometry of the balanced chemical reaction
For a general reaction: aA + bB → cC + dD
Average rate = -1∆[A]/a∆t=-1∆[B]/b∆t=1∆[C]/c∆t=1[D]/d∆t
What is rate law
We study the way concentration affects the reaction rate by measuring how the initial rate depends on starting concentrations
The effects of concentration on reaction rate is given by the rate law or rate equation
For a general reaction: aA + bB → cC + dD
Rate=K[A]^m[B]^n
K is the temperature dependent rate constant
The exponents m and n are called “reaction order”
what are the exponents in rate law
For Rate=K[A]^m[B]^n
- m and n do not depend on stoichiometry and must be determined exponentially
For a reaction: A → products
How rate changes with [A]? Rate relates to [A]^m
0 order, m = 0: rate independent of [A]
1st order, m = 1: [A] doubles rate doubles
2nd order, m = 2: [A] doubles, rate quadruples
how does k impact rate
The larger the value of k, the faster the reaction
The value of k depends on the specific reaction, the temperature and the presence of a catalyst (if any)
what are the units for first and second order reaction
First order reaction
Rate = k[A], so K = rate[A] → M/time * 1/M = 1/time = 1/s
Second order reaction
Rate = K[A]^2, So K = rate / [A]^2 ⇒ M/time * 1/M^2 = 1/timeM = L/molS
How can you experimentally determine rate laws
A + B → C
The method of initial rates:
Rate law is $Rate=k[reactant1]^m[reactant2]^n$, must determine the values of m and n.
Experiment to determine rate law:
- vary reactant concentrations systematically
- Measure the initial rate for each variation
Ex: Run two reactions, both with same [reactant2] but one rxn has twice the [reactant1] compared to the other. Measure the initial rate of both reactions to determine m.
If doubling the concentration of a reactants has no effect, it is 0 order, if doubling results in double the initial rate, it is first law, if doubling results in four times the initial rate, it is second law. In regards to that reactant.
what happens when you integrate a first order reaction
For a reaction A → Products
First-order reactions
Rate law:
Rate = k[A]
Applying calculus to integrate first order rate law:
ln[A]_t=-kt+ln[A]0
[A]t=[A]0e^-kt
Plot of [A] vs time is an exponential
Plot of ln[A] vs time will be linear (slope = -k)
what happens when you integrate second order reactions
Second order reactions
rate=k[A]^2
Applying calculus to integrate second order rate law:
1/[A]^t=kt+1/[A]0
Plot of 1/[A] vs time will be linear (slope = k)
what happens when you integrate a zero order reaction
Zero-order reactions
Rate does not depend on [A]
$rate=k[A]^0$
Applying calculus to integrate zeroth order rate law
$[A]_t=-kt+[A]_0$
Plot of [A] vs time will be linear
What is half life
Half-life is the time required for half of the reactants to be consumed in the reaction.
After the reaction proceeds for a time equal to half-life (t1/2):
[A]t=1/2[A]0
How does half time work in first order reaction
in a first order reaction:
ln([A]t/[A]0)=-kt
ln(0.5[A]0/[A]0)=-kt1/2 ⇒ t1/2=ln(2)/k=0.692/k
First order rate laws:
The half-life does not depend on the concentration of reactant → Constant
How does half life work in second order reaction
in a second order reaction
1/[A]t=kt+1/[A]0
For a half life:
1/0.5[A]0=kt1/2+1/[A]0 ⇒ t1/2=1/k[A]0
Second order rate laws:
the half life depends on the initial concentration of reactant. Half life is not constant.
what are elementary steps
The sequence of elementary steps that describes the pathway from reactants to products
Elementary reactions sometimes called elementary steps are individual molecular events that involve breaking and/or making chemical bonds. It is a one step reaction.
what is the molecularity of the elementary steps
The number of reactant molecules in an elementary reaction (step) is the molecularity of the elementary step
Unimolecular: A → Products
Bimolecular: A + B → Products
Termolecular: A + B + C → products. C is often a stabilizing molecule
Together a sequence of elementary reactions makes up the net reaction mechanism.
What determines the rate law for an elementary step
If a reaction is an elementary step, then the rate law is based on its molecularity.
⇒ In the specific case of an elementary step (reaction), the exponents in the rate law are the same as the stoichiometric coefficients in the balanced elementary reaction
what is the rate law of different elementary steps
Unimolecular: A → Products. Rate=k[A]
Bimolecular: A + B → Products. Rate=k[A][B]
A + A → Products. Rate=k[A]^2
Termolecular: A + A + A → Products. Rate=k[A]^3
A + A + B → Products. Rate=k[A]^2[B]
A + B + C → Products.
what is the rate determining step
One elementary reaction is often much slower than the others.
The overall reaction cannot be faster than the slow step, called the rate determining step.
Every elementary reaction has its own transition state and activation energy.
The rate determining step governs the rate law for the overall reaction.