Chemical Kinetics Flashcards

1
Q

What are 5 factors that affect reaction rates

A
  1. Physical state of the reactants
  2. Reactant concentrations
  3. Reaction Temperature
  4. Presence of a catalyst
  5. Surface Area
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2
Q

what must happen for molecules to react

A

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

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3
Q

What is activation energy

A

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

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4
Q

what is a transient state

A

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.

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5
Q

what are reaction rates

A

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

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6
Q

does rate change over time

A

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

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7
Q

what are initial and instantaneous rates

A

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.

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8
Q

How do the average rates of appearance vs disappearance related

A

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

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9
Q

What is rate law

A

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”

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10
Q

what are the exponents in rate law

A

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

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11
Q

how does k impact rate

A

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)

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12
Q

what are the units for first and second order reaction

A

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

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13
Q

How can you experimentally determine rate laws

A

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.

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14
Q

what happens when you integrate a first order reaction

A

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)

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15
Q

what happens when you integrate second order reactions

A

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)

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16
Q

what happens when you integrate a zero order reaction

A

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

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17
Q

What is half life

A

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

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18
Q

How does half time work in first order reaction

A

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

19
Q

How does half life work in second order reaction

A

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.

20
Q

what are elementary steps

A

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.

21
Q

what is the molecularity of the elementary steps

A

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.

22
Q

What determines the rate law for an elementary step

A

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

23
Q

what is the rate law of different elementary steps

A

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.

24
Q

what is the rate determining step

A

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.

25
describes the multi step mechanism
1. The elementary reactions in a mechanism add up to give the overall chemical equation. 2. Intermediates do not appear in overall chemical equation or overall rate law. Intermediates are species produced in one elementary reaction and consumed in another 3. The reaction mechanism explains the experimentally determined rate law. 4. Reaction mechanism includes only elementary steps. Usually only unimolecular or bimolecular elementary reactions
26
when a mechanism has a slow initial step, what is rate law
When mechanisms have a slow initial step, overall rate law depends on the first step Rate law = k[A]
27
what happens when the first step of a mechanism is fast
If the first elementary reaction is not the slow step, a later reaction is the bottleneck The fast initial reaction produces the intermediate needed for the slow, rate determining step Fast initial reaction often establishes an equilibrium (a powerful simplifying assumption). Generally: the reverse of the first reaction is faster than the slow second forward reaction, leading to equilibrium condition. Rate1(forward rxn) = rate-1(reverse rxn)
28
when there is a slow step, but it is not the first step, how do you determine rate law
The rate is determined by the slow step. Slow step rate law refers to [intermediate] Assume fast equilibrium in step 1: Rate 1 = Rate -1 Obtain the expression for intermediate concentration Use this expression in rate law for slow step Ex: 2A ←→ B: Rate1=K1[A]^2 Rate-1=K-1[B] B + C → D + G: Rate2=K2[B][C] D + C → E + G: Rate3=K3[D][C] Overall equation: 2A + 2C → E + 2G Experimental rate k=[A]^2[C] The slow step is step 2, and the rate is dictated by Rate2=K2[B][C] We can then manipulate rate1 and rate-1 to isolate B K1[A]^2=K-1[B] [B]=(k1/k-1)[A]^2 Then plug it in to the rate 2 equation to get Rate2=k2(k1/k-1)[A]^2[C] k2(k1/k-1) = K (the overall rate constant) Elementary reactions add up to give overall chemical reaction and only involve bimolecular steps (feasible)
29
What is the steady state approximation
A more general approximation for cases when no single step is slower than the others. The overall reaction rate depends on a combination of steps The assumption here is that the concentration of the reactive intermediates remain nearly constant throughout the reaction. Ex: 2A ←→ B: Rate1=K1[A]^2 Rate-1=K-1[B] B + C → 2D Rate2=K2[B][C] Overall equation: 2A + C → 2D Experimental rate k=[A]^2[C] 1. The reactive intermediate is B. If it’s concentration doesn’t change, then ∆[B]/∆t = 0 ∆[B]/∆t=k1[A]^2-k-1[B]-k2[B][C]=0 2. We have an equation that allows the determination of the constant concentration of B. [B](k-1+k2[C])=k1[A]^2 [B]=k1[A]^2/(k-1+k2[C]) 3. Write the rate equation for the overall reaction, based on the product concentration, and observe that the product is obtained in step 2. Rate=∆[D]/∆t=k2[B][C] 4. Substitute the expression for the intermediate based on the steady-state approximation: rate=k1k2[A]^2[C]/(k-1+k2[C]) Compare with rate derived assuming step 2 was slow: Rate=k2(k1/k-1)*[A]^2[C] If step 2 is slow then k-1 >> k2[C] so: k-1 + k2[C] = k-1 So the two rate laws agree! Note: the steady state approximation is a much more general assumption.
30
how does temperature influence reaction rate
Only a fraction of the molecules will have enough energy to react Fraction = e^-Ea/RT There are more molecules with KE>Ea at higher temperature ~ Temperature For a given value of T, molecules have a specific distribution of energies.
31
What is the Arrhenius equation
K = Ae^-Ea/RT K is rate constant, Ea is activation energy in J, R is gas constant (J/K), T temperature on Kelvin A is frequency factor: accounts for the fraction of sufficiently energetic collisions that lead to product formation considering how many have the correct orientation
32
What happens when you take the ln of both sides of the Arrhenius equation
Taking the ln of both sides of the equation ln(k)=lnA-Ea/RT For k1 and k2 at T1 and T2: ln(k1)=lnA-Ea/RT1 ln(k2)=lnA-Ea/RT2 Since lnA is constant ln(k1)+Ea/RT1=ln(k2)+Ea/RT2 We assume that the activation energy (Ea) and the frequency factor (A) do not depend on the temperature. But the rate constant (k) does
33
How do you determine the activation energy
Measuring rates at different temperatures allows the determination of k at different T ln(k1/k2)=Ea/R(1/T2-1/T1) two methods 1. measure k1 and k2 at two different temperatures, T1 and T2 and use above equation to solve for activation energy 2. Or is we have a data set with k verses T, we can plot lnK as a function of 1/T lnK=-(Ea/R)(1/T)+ln(A) Method two is better for determining Ea since it has more data and will be more accurate.
34
what does a catalyst do
A catalyst increases the rate of the reaction Provides an alternative pathway (alternative reaction mechanism) with lower Ea Changes the value of k: Catalysts usually do not undergo a permanent chemical change.
35
what is homogeneous catalysis
Homogeneous Catalysis Catalyst is in the same phase as the reaction molecules Catalyst is consumed in 1st reaction and produced in second reaction
36
what is heterogeneous catalysis
The Catalyst is in a different phase from reacting molecules, usually a solid. e.g. Hydrogenation of unsaturated hydrocarbons such as ethylene or vegetable oils. Where a solid Ni surface acts as a catalyst. Automobile Catalytic Converter Converts incomplete combustion products like Hydrocarbons, CO, and NO buy combining with O2 to produce CO2, H2O, N2, and O2 Catalysts are Pt, Pd, Rh and transition metal oxides.
37
what are enzymes
Enzymes catalyze biological reactions so that they can occur at a reasonable rate under physiological conditions. Enzymes have a region that specifically binds the reactant molecule. This is called the active site. The substrate (reactant) binds to the active site to form a complex. Once bound, substrate is activated and react to form products Inhibitors bind to active sites and block entry of substrate Some enzymes are very efficient: turnover of 10^3 - 10^7 per second
38
what does ozone do
Ozone (O3) absorbs photons (240-310 nm) protects us from damaging UV radiation UV-A < UV-B < UV-C O3 formed between 30 km and 90 km Reaction: 3O2 ← → 2 O3
39
how does ozone form
At higher altitude - high energy photons dissociate O2: O2 + hv → O + O The right balance between the amounts of O2 and O is found in the stratosphere. Stratosphere - sufficient O2 and O 1. O2 + O → O3 (exothermic) 2. O3 + M → O3 + M* + heat 3. O3 + hv → O2 + O 4. O + O + M → O2 + M* + heat M is an inert gas, the * means the molecule is excited Ozone is formed and decomposed naturally in the atmosphere. 3 x 10^8 tons per day Photons with wave length 240-310 nm (UV-B) are absorbed by the ozone
40
what was happening with ozone depletion in Antarctica
1. traces of inactive molecules containing Cl are present in the atmosphere over Antarctica ClONO2 and HCl 2. Cold dark winter forms polar stratospheric clouds (PSCs), which are made of ice crystals 3. Ice crystals (heterogeneously) catalyze the formation of Cl2, which remains trapped in clouds while cold and dark 4. In the southern spring (sept to Dec) sunlight dissociated the Cl2: Cl2 + hv → Cl* + Cl* Cl* results in catalytic destruction of ozone until PSCs melt in summer Dobson unit: one DU is 0.4462 millimoles of ozone/m^2
41
what was happening to the ozone in 1978-1987
Ozone layer depletion Monitoring of ozone from 1978 onwards revealed that O3 in the stratosphere was depleting
42
what did Rowland show
Rowland (noble prize 1995) showed that naturally occurring nitrogen oxides depleted ozone. N2O + O → 2NO NO + O3 → NO2 + O2 N2O is also a by-product of fertilization, fossil fuel combustion and biomass and biofuel burning
43
What did Molina and Cruzen do
Molina and cruzen (also noble prize in 1995) showed that chlorine from chlorofluorocarbons (CFCs) that react the stratosphere react to produce chlorine atoms. CF2Cl2 + hv → CF2Cl + Cl* (reacts with high energy UV < 220 nm CFCs (trade name: freon) persist in stratosphere for 120 years. Ozone decomposition is catalyzed by Cl 2 Cl* + 2 O3 → 2 ClO + 2O2 2ClO + hv → 2 Cl + O2 Overall: 2 O3 → 3 O2 Second order rate law depends on [Cl*} and [O3] k = 7.2 x 10^9 /MS at 298K CFCs in spray cans were banned in north America in 1978, in world by Montreal protocol in 1987.