Block 3 - Kinetics Flashcards

1
Q

Chemical kinetics

A

The study of the rate of chemical reactions and the factors that affect them

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2
Q

Reaction rates define…

A

The change in concentration of a reactant per unit time
Measured in mol L-1 s-1

Thus the reaction rate is:

  • the number of times a reaction happens per second
  • how fast the reactant decreases
  • how fast the product increases
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3
Q

Instantaneous rate

A

The rate at a particular point in time, mathematically given by d[A] / dt

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4
Q

Average rate

A

Given by the change in concentration over time, mathematically given by Δ[A] / Δt

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5
Q

Initial rate

A

The instantaneous rate at t = 0 when only reactants are present –> know amount/conc of reactants at beginning

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6
Q

Factors affecting rate of reaction

A

Nature of reaction - some reactions are inherently fast compared to others
Temperature - most reactions occur faster as the temp is raised
Action of light - some reactions happen rapidly in presence of light and may depend on exact wavelength
State - the greater the SA, the faster the reaction
Concentration - the more of something we have, the faster it may react
Catalysts - substances that increase reaction rate (often via diff reaction pathway), but do not get used up. often react in an early step, then are regenerated again in a later step

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7
Q

The instantaneous rate of many reactions is related to the concentrations of reactants by the…

A

Rate law

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8
Q

Rate law

A

If rate law is known, can calculate rate of reaction for any given conc of reagents
To determine rate law, must know how much the rate depends on reactant [A], i.e. the order of the reaction with respect to A

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9
Q

For a reaction A –> products, rate? If…

A

Rate doesn’t change when conc of A changes –> rate is proportional to [A]^0 –> zero order in A –> rate = k

Rate doubles when conc of A doubles –> rate is proportional to [A]^1 (linear) –> first order in A –> rate = k[A]

Rate is 4x when conc of A doubles –> rate is proportional to [A]^2 –> second order in A –> rate = k[A]^2

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10
Q

Prediction of order from equation

A

You CAN’T predict the order from the balanced overall equation

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11
Q

Rate constant

A

The nature of the reaction and the temperature
k tells us about the inherent nature of reaction
Units of k depend on order of reaction:
Zero order: mol L-1 s-1
First order: s-1
Second order: L mol-1 s-1
Third order: L^2 mol-2 s-1

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12
Q

Method of determining rate law

A

Carry out an experiment to measure concentrations at various times after the reaction starts, then determine the slope of an appropriate graph
To do this, we need to know what form of graph to plot, which involves integrating the instantaneous rate expressions

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13
Q

What is [R] = [R]0 - kt used for

A

Zero order reaction

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14
Q

What is ln[R] = ln[R]0 - kt used for

A
First order reaction
Rearranged: [R] = [R]0 e^(-kt) --> indicates an exponential decrease in conc
Where:
[R] = conc of reactant
[R]0 = initial conc of reactant
k = rate
t = time (s)
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15
Q

Graph - first, second, or third order?

A

First order: If ln[R] = ln[R]0 - kt, then a plot of ln[R] against time will be a straight line whose slope is -k
Second order: not a straight line

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16
Q

Second order reactions occur for reactions where…

A

There is a single reactant that is second order (rate = k[A]^2)
OR
There are two reactants that are both first order (rate = k[A][B])

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17
Q

Second order reactions: 2 reactants - problem and solution

A

Problem: concentrations might not initially be the same, or might change at diff rates
Solution: make the conc of one of the two compounds very large, then changes are negligible –> becomes like a first order problem; pseudo-first order

rate = k[A][B] –> rate = k’ [A]

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18
Q

What is the equation 1/[R] = 1/[R]0 + kt used for

A

Second order reactions with a single reactant

19
Q

Half-life

A
The time (usually in s) for conc of reactant to fall to half of its initial value
Denoted by symbol t1/2
Can be related to rate constant of reaction, but the relationship depends on order of reaction
20
Q

t1/2 = [R]0 / 2k

Order?

A

Zero order

21
Q

t1/2 = ln2 / k

Order

A

First order

Equation doesn’t feature conc –> half-life of a first order reaction is not dependent on conc

22
Q

t1/2 = 1 / [R]0k

Order

A

Second order

23
Q

Reaction profile

A

A graph showing the reaction pathway/co-ordinates vs energy

24
Q

Activation energy

A

The energy required to activate the transition state and proceed with the reaction
The difference between energies at the transition state and molecules initial resting state
Always positive

25
Q

A collision is effective if…

A
  1. The molecule has enough energy to surpass the activation energy
  2. The molecules are correctly aligned
26
Q

Boltzmann distribution

A

Distribution of the range of diff molecule energies at a given temp
Temp proportional to average energy, but only if you use the absolute temp scale
Higher temp –> higher energy –> more molecules reach required energy to pass Ea barrier

27
Q

Absolute temp scale

A

0 celcius = 273.15K

28
Q

Arrhenius equation

k = Ae^ (-Ea/RT)

A

Used to calculate activation energy for a reaction
Links effect of temperature to Ea
ln(k) = ln(A) - Ea/RT

k = rate constant
A = about orientation
Ea = activation energy (J mol-1)
R = gas constant (8.314 J K-1 mol-1)
T = temp (K; kelvin)
29
Q

Elementary reaction

A

Single-step reaction
Rate law is given by the stoichiometry of reactants
Most reactions aren’t elementary reactions so can’t determine rate law

30
Q

We can predict the order of reactions if…

A

The elementary steps are known because the overall reaction rate depends on the rate of the slowest step

31
Q

Slowest step

A

AKA rate determining step; if can determine slowest step, can determine overall rate law
If can speed up slowest step, can speed up overall rate of reaction

32
Q

Reaction profile: Reactive intermediates

A

Represent points of minimum energy

33
Q

Reaction profile: Transition states

A

Represent points of maximum energy

34
Q

Types of elementary reactions

A

Unimolecular = one
Bimolecular = two; must collide in certain orientation
Termolecular = three; extremely rare
Never more than three

35
Q

Acid-catalysed

A

Where rate of reaction is increased in presence of H3O+ ions

36
Q

Homogeneous vs heterogeneous - catalysts

A

Catalysts that work in the same phase as reaction are homogeneous, and usually appear in the rate law
Catalysts that work in a diff phase as reaction are heterogeneous e.g. H2/pt

37
Q

Catalysts - elementary steps

A

Catalysts change the elementary steps in a reaction

38
Q

Product distribution depends on…

A

Relative activation energies of the competing reactions

39
Q

Catalysts - outcome of reactions

A

Since catalysts affect Ea, they can also alter the outcome of reactions
A catalyst can provide a pathway for one of the reactions but not the other, changing the products observed

40
Q

Catalysed reaction, either___ or ____

A

Either the activation energy of the new pathway is lower OR the molecules are aligned by the catalyst
Most catalytic processes do both

41
Q

Adding a catalyst affects…

A

MAY affect value of A
MAY affect value of Ea
ALWAYS affects value of k

Decrease in Ea = increase in k

42
Q

K(catalysed) vs K(uncatalysed)

A

K(catalysed) > K(uncatalysed)

43
Q

Intermediate vs catalyst

A

Intermediate: formed as a product of an elementary step and used up as a reactant in a following elementary step
Catalyst: added to reaction before it begins - always appears on LHS first, then reformed on RHS

44
Q

Key principles of reaction mechanisms and rate laws

A

Mechanisms must be made up of elementary steps
The slow step is the rate determining step
The rate law for the reaction can be written directly from the slow step
Intermediates can’t appear in the final rate law