Kinetics Flashcards
What is the rate of a chemical reaction?
The rate at which products are formed, or reactants used up
rate= Δconc/time
rate= d[conc] / dt
What are elementary reactions and the three types?
Reactions which occur in a single step. All chemical reactions can be made up of a series of elementary steps
Unimolecular: isomerisation or disassociation, contain only 1 reactant
Bimolecular: collision between 2 species
Termolecular: collision between three species, very rare and require very high pressures
What is a complex reaction?
A reaction involving more than one elementary step
Most reactions, e.g Haber-Process
What is the activation energy of a reaction and how can it be understood?
An energetic barrier which must be overcome for particles to successfully reaction
The energy difference between the reactants and transition state
How has the equation for rate of reaction from simple collision theory been derived?
3 key factors:
- collision frequency
- energetic requirement > Ea
- orientation of the collision / sterics correct
How does a catalyst increase rate of reaction?
Lowering the activation energy of a reaction
From the rate formula, catalysts change the exponential term exp(-Ea/RT), as the power will become less negative
What are the failures of simple collision theory?
Not all of the kinetic energy of the reactants is available for a reaction, only KE relative to motion contributes
Energy stored in internal degrees of freedom (rotation, vibration) of reactants is ignored
So often experimental K and that of the formula do not align
What is the formula for A, the pre-exponential factor?
How do you write the differential equation form for rate of reaction e.g for the Haber process?
N₂(g) + 3H₂(g) ⇌ 2NH₃(g)
-d[N₂]/dt= -1/3 d[H₂]/dt = 1/2 d[NH₃]/dt
1/coefficient
- signs for reactants as their concs are decreasing, so becomes positive
What is a rate law? What is an order and overall order?
An expression which relates reaction rates to the concentration of species in the reaction mixture
Can include catalysts, reactants, products, but not intermediates
Order: The power a concentration is raised to
Overall: sum of individual orders
What is a simple rate law? And a complex rate law? What do they indicate?
Simple rate laws can be written directly from the reaction equation, e.g elementary reactions, complex reactions sometimes
rate= k [A] [B]
Complex: more complicated dependence on conc, often with multiple constants
e.g rate= (k1[A]^1/2 [B])/ (1 + K’[B])
A complex rate law always indicates a complex reaction
What does molecularity mean? How does this relate to elementary reactions?
The number of each species in an elementary step reflects the order of the species in the rate equation
How do you convert between pressure/ time and conc?
pV=nRT
n/V= p/RT
Divide by RT
What are the units of both K for this reaction? When can rate constants be compared?
When adding/subtracting, the species must have the same units
If these added species are used to divide, they count as one unit
How do you calculate the integrated rate law for zeroth and first order reactions?
How do you calculate the integrated rate law for second order reactions?
You don’t need to divide by a half, as these are not elementary steps
How do you calculate integrated rate laws for n order reactions?
What is the half life of a substance? What is the general approach for finding the equation for half life of a reaction based on order?
The time taken for the concentration of a substance to fall to half of its initial value
Substitute t=t1/2 and [A] = [A]0/2 into the integrated rate law
What are the half lives of zeroth, first, and second order reactions?
zeroth: [A]₀ / 2k
first: ln2/K
second: 1/K[A]₀
How would you calculate the half life of an n order reaction?
Actually 2^n-1 -1
How can the isolation method be used to determine rate laws?
Keep one reagent in such a large excess its concentration is effectively constant for the reaction
This means the change in rate is due to the decrease of the other reactant over time
A + B –> P
Rate=k[A]^n [B]^m
If B in a large excess
Keff= [B] * K
Rate= keff[A]^n
So now pseudo first order
How can differential methods be used to determine rate laws?
After isolation, rate dependent on 1 concentration
rate = k[A]^a
log(rate)= logK + alog([A])
Plot the graph, gradient=a, and log K = y intercept
Can be acquired through multiple initial rates methods calculation of rate from conc-time monitoring several times
How can integral methods be used to determine rate laws?
Using the integrated rate laws: literally just the equations they give
zeroth: [A] vs t linear
first: ln[A] vs t linear
second: 1/[A] vs t linear
How can half-lives be used to determine rate laws?
Using the integrated rate laws for half life equations:
zeroth order: successive half lives half each time
first: constant half life
second: successive half lives double