2.6Unit 2. Energetics, Group Chemistry, Halogenoalkanes and Alcohols
Introduction to Kinetics & Equilibria — IAL Edexcel Linear (Chemistry) Revision Notes & Topical Questions
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Lesson summary
2.6 Introduction to Kinetics & Equilibria — collision theory and rate of reaction — IAL EDEXCEL LINEAR (CHEMISTRY) notes: Use collision theory to explain how concentration, pressure, temperature, surface area and activation energy affect rate, and define and calculate the rate of…
- Successful (effective) collision
- Unsuccessful (ineffective) collision
- Activation energy, Ea
- Pressure (gases)
- Surface area (smaller particles)
- Maxwell–Boltzmann distribution
Section 1 of 24Collision theory
Collision theory
Reacting particles must collide, and some collisions break old bonds and form new bonds.
The rate depends on:
- collision frequency,
- collision energy,
- activation energy.
Successful (effective) collision
- Successful (effective) collision particles collide with the correct orientation and with at least the activation energy.
Unsuccessful (ineffective) collision
- Unsuccessful (ineffective) collision the particles have the wrong orientation or too little energy and simply bounce apart.
Rate of reaction depends on the number of successful collisions per unit time.
Section 2 of 24Activation energy
Activation energy, Ea
- Activation energy, Ea the minimum energy colliding particles need for a reaction to occur.
Even with the correct orientation, a collision without at least Ea does not react.
In an exothermic reaction the reactants are higher in energy than the products, so Ea is relatively small.
In an endothermic reaction the reactants are lower in energy than the products, so Ea is relatively large.
An effective collision needs both the correct orientation and energy of at least Ea.
Section 3 of 24Factors changing collision frequency
Factors changing collision frequency
Concentration
- Concentration more particles in the same volume give more frequent collisions.
Pressure (gases)
- Pressure (gases) the same number of particles in a smaller volume gives more frequent collisions.
Temperature
- Temperature particles have more kinetic energy and move faster, so collisions are more frequent.
Surface area (smaller particles)
- Surface area (smaller particles) more particles are exposed in the same volume, so more collisions occur.
Raising temperature also increases the proportion of collisions with E ≥ Ea,
- so its effect on rate is the largest; a rise of 10 K roughly doubles many reaction rates.
A catalyst lowers Ea, so more collisions are successful.
Section 4 of 24Rate of reaction
Rate of reaction
- Rate of reaction the change in concentration of a reactant or product per unit time, in mol dm−3 s−1.
Rate = change in amount of reactant or product (mol dm−3) ÷ time (s).
During a reaction reactant concentration falls and product concentration rises.
- The rate is fastest at the start and slows as reactants are used up.
Reaction progress can be followed by measuring the reactant lost, the product formed, the time for a colour change or the time for a precipitate to form.
Section 5 of 24Rate from a concentration–time graph
1
Plot concentration (or volume or mass) against time.
2
The rate at any instant is the gradient of a tangent to the curve.
- Draw the tangent at the required time.
- Complete a large triangle, ideally intersecting gridlines, and read off the change in y and x.
- Gradient = change in y ÷ change in x.
3
The initial rate is the gradient of the tangent at time zero.
4
Properties used to follow rate (colour, mass, volume) are taken as proportional to concentration.
Section 6 of 24More from the specification
More from the specification
Analytical chromatographic separation
- Analytical chromatographic separation differential partitioning between mobile and stationary phases provides an effective means to isolate reaction components.
Carbon dioxide
- A gas that turns limewater cloudy.
Maxwell-Boltzmann distribution
- A graph showing how particle energies are spread at a given temperature.
Reversible reaction
- A reaction in which the products can react to re-form the reactants.
Closed system
- A system in which nothing can enter or leave.
Maxwell–Boltzmann distribution
- Maxwell–Boltzmann distribution a curve of number of molecules against energy, where the area under it equals the total number of molecules.
Dynamic equilibrium
- Dynamic equilibrium forward and reverse reactions continue at equal rates, so concentrations stay constant, though not necessarily equal.
Position of equilibrium
- Position of equilibrium if a condition changes, the system shifts to oppose the change, for example removing a product shifts it right and raises yield.
Industrial conditions
- Industrial conditions chosen as a compromise between yield, rate, energy cost and safety.
Section 7 of 24Measuring rate by mass loss
1
A gas that escapes from the vessel reduces the mass, e.g. CaCO3 + 2HCl → CaCl2 + H2O + CO2.
2
Record the mass every few seconds and plot mass lost against time.
3
The gas must be dense enough for the change to be measured on a 2 or 3 d.p. balance.
4
CO2 (Mr = 44) is suitable; H2 (Mr = 2) is not.
Section 8 of 24Measuring rate by gas volume
Measuring rate by gas volume
Collect the gas in a gas syringe, or over water in an inverted measuring cylinder if the gas is not water soluble.
Read the volume every few seconds and plot volume against time, which shows the amount of product against time.
Example reaction: Mg + 2HCl → MgCl2 + H2.
Section 9 of 24Other rate methods
Disappearing cross
- Disappearing cross time for a cross seen through the flask to disappear as sulfur forms.
- Na2S2O3 + 2HCl → 2NaCl + SO2 + H2O + S(s).
- It gives only one piece of data per experiment and is subjective.
Sampling and titrating can change the rate, unless the reaction is stopped by quenching.
Timing the point when something visible happens, e.g. a piece of magnesium dissolving, is a convenient alternative.
Faster reactions are easier to measure by averaging over the whole reaction.
Section 10 of 24Initial rate from a tangent
Initial rate from a tangent
Plot the results and draw a tangent to the curve at t = 0.
Calculate the gradient of the tangent as change in y ÷ change in x, with units.
Draw the tangent with a ruler and make the triangle large to reduce error.
Section 11 of 24Maxwell-Boltzmann distribution and temperature
1
A Maxwell-Boltzmann curve shows the distribution of particle energies at a given temperature.
2
A few particles have very low energy, a few have very high energy and most are in between.
- The area under the curve is the total number of particles and does not change with temperature.
- The curve starts at the origin and never touches the energy axis at high energy.
3
Only a small proportion of particles have energy of at least Ea.
4
A higher temperature flattens the curve and moves the peak to the right.
- More particles have E ≥ Ea, so a larger proportion of collisions is successful.
- Particles also move faster, so collisions are more frequent.
Section 12 of 24Catalysts
Catalyst
- Catalyst increases the rate by providing an alternative pathway with a lower activation energy and is unchanged at the end.
On a Maxwell-Boltzmann curve, Ea moves to the left.
- A larger area (more particles) is above Ea.
On a reaction profile, the catalysed route has a lower peak while the reactant and product levels, and so ΔH, are unchanged.
Advantages of catalysts
- They increase the rate so more product forms in a given time.
- They reduce energy costs because reactions can run at lower temperature and pressure.
- They can increase atom economy by reducing unwanted reactions, e.g. zeolites in the synthesis of phenol.
Homogeneous
Types of catalyst
- Homogeneous
- in the same phase as the reactants, e.g. all in solution.
- Heterogeneous
- in a different phase from the reactants, e.g. a solid catalyst with gaseous reactants;
- this is most common in industry.
- in a different phase from the reactants, e.g. a solid catalyst with gaseous reactants;
Section 13 of 24Reversible reactions and dynamic equilibrium
Some reactions go to completion and stop when a reactant is used up.
In a reversible reaction the products can react to re-form the reactants, shown with ⇌.
Dynamic equilibrium
- Dynamic equilibrium the rate of the forward reaction equals the rate of the backward reaction in a closed system, so concentrations are constant.
- Molecules keep reacting in both directions.
- In 2HI ⇌ H2 + I2, HI breaks down at the same rate as it forms.
- The same equilibrium is reached starting from reactants or from products.
Concentrations at equilibrium are constant, not equal.
Section 14 of 24Closed and open systems
Closed and open systems
Closed system
- Closed system no reactants or products escape.
Open system
- Open system matter and energy can be lost to the surroundings.
Reactions entirely in solution can reach equilibrium in open flasks because little material is lost.
Reactions involving gases reach equilibrium only in a closed system.
- CaCO3 ⇌ CaO + CO2 reaches equilibrium when CO2 cannot escape.
- In an open vessel CO2 is lost and the decomposition goes to completion.
Section 15 of 24More from the specification
1Dynamic chemical equilibrium
- A reversible reaction in a closed system reaches dynamic equilibrium when the rate of the forward reaction equals the rate of the backward reaction,
- which means the concentrations of reactants and products remain constant.
2Le Chatelier's principle and equilibrium shifts
- Changing reaction conditions (temperature, pressure,
- or concentration) causes the equilibrium position to shift in the direction that opposes the disturbance, directly influencing product yield.
3Pressure effects on gas equilibria
- For reactions involving gases such as the decomposition of carbonates to form carbon dioxide, an increase in system pressure shifts the equilibrium towards the side with fewer moles of gas.
4Equilibrium concentration-time graph
- On a concentration-time graph, equilibrium is identified where the curves for reactants consumed and products formed become horizontal parallel lines, indicating no further change in composition.
5Carbon dioxide
- A gas that turns limewater cloudy.
6Collision theory
- Particles react only if they collide with at least the activation energy and the correct orientation.
Section 16 of 24Position of equilibrium
Position of equilibrium
- Position of equilibrium the relative amounts of products and reactants in the equilibrium mixture.
A shift to the left increases reactant concentration; a shift to the right increases product concentration.
Le Chatelier's principle
- Le Chatelier's principle if a change is made to a system in dynamic equilibrium, the position of equilibrium moves to counteract the change.
A catalyst does not change the position; it only helps equilibrium to be reached faster.
Section 17 of 24Effect of concentration
1
Increasing the concentration of a reactant shifts the position to the right to use it up.
2
Removing a product shifts the position to the right to replace it.
3
In CH3COOH + C2H5OH ⇌ CH3COOC2H5 + H2O, adding ester or removing ethanol shifts the position to the left.
4
Adding water to Ce4+ + Fe2+ ⇌ Ce3+ + Fe3+ has no effect, because dilution changes all ions equally.
Section 18 of 24Effect of pressure
1
Pressure affects only equilibria involving gases.
2
Increasing pressure shifts the position towards the side with fewer moles of gas; decreasing pressure shifts it towards more moles.
3
Solids and liquids are not counted.
4
N2O4(g) ⇌ 2NO2(g): higher pressure shifts left (1 mole against 2).
5
CaCO3(s) ⇌ CaO(s) + CO2(g): only CO2 is a gas, so higher pressure shifts left.
6
2NO2 ⇌ 2NO + O2: lower pressure shifts right (2 moles against 3).
Section 19 of 24Effect of temperature and deducing ΔH
Effect of temperature and deducing ΔH
Increasing temperature shifts the position in the endothermic direction, absorbing the added energy.
Decreasing temperature shifts it in the exothermic direction.
If more product forms on heating, the forward reaction is endothermic.
- H2 + CO2 ⇌ H2O + CO has ΔH = +41.2 kJ mol−1, so heating shifts it right.
- For Ag2CO3(s) ⇌ Ag2O(s) + CO2(g), more CO2 on heating shows the forward reaction is endothermic.
Section 20 of 24The Haber process compromise
1
N2(g) + 3H2(g) ⇌ 2NH3(g) is exothermic in the forward direction.
2
Temperature
- A higher temperature increases the rate but shifts the position left, lowering the yield.
- A lower temperature gives a better yield but the rate is too slow.
- About 450 °C gives an acceptable yield (roughly 35%) in an acceptable time.
- Producing 100 g per hour (2400 g per day) can be better than 1000 g per day.
3
Pressure
- Higher pressure increases the yield (4 moles of gas become 2) and the rate.
- About 20 MPa (200 atm) is used; doubling it to about 40 MPa raises the yield only by about 7%.
- High pressure costs more energy and equipment and is hazardous.
4
An iron catalyst speeds up the reaction without changing the yield, and unreacted gases are recycled.
Section 21 of 24Factors in industrial compromises
Financial
- Financial does the extra yield pay for the cost of altered conditions?
Energy and environment
- Energy and environment do the conditions need more energy or more fossil fuel?
Health and safety
- Health and safety are the conditions safe for workers and the plant?
The same ideas apply to other processes, e.g. the Contact process 2SO2 + O2 ⇌ 2SO3 (V2O5 catalyst, about 450 °C, 1–2 atm) and ethanol from ethene (H3PO4, 300 °C, 60 atm).
Section 22 of 24More from the specification
More from the specification
Collision theory and activation energy
- Collision theory states that chemical reactions take place when reacting particles collide with kinetic energy greater than or equal to the activation energy (Ea) and appropriate molecular orientation.
Maxwell-Boltzmann distribution curve
- A Maxwell-Boltzmann distribution graph plots particle population against kinetic energy;
- the area under the curve represents the total number of particles,
- which means only particles in the shaded tail possessing E >= Ea can undergo successful collisions.
Measuring reaction rates via gas volume
- In reactions producing gas, chemists measure reaction progress by recording gas volume collected in a gas syringe over time,
- where the initial tangent to the graph gives the initial reaction rate.
Effect of catalysts on the distribution
- Adding a catalyst provides an alternative reaction pathway with lower activation energy,
- which means a larger fraction of particles possess sufficient energy to react without altering the Maxwell-Boltzmann curve shape.
Collision theory and activation energy
- Collision theory states that chemical reactions take place when reacting particles collide with kinetic energy greater than or equal to the activation energy (Ea) and appropriate molecular orientation.
Maxwell-Boltzmann distribution curve
- A Maxwell-Boltzmann distribution graph plots particle population against kinetic energy;
- the area under the curve represents the total number of particles,
- which means only particles in the shaded tail possessing E >= Ea can undergo successful collisions.
Measuring reaction rates via gas volume
- In reactions producing gas, chemists measure reaction progress by recording gas volume collected in a gas syringe over time,
- where the initial tangent to the graph gives the initial reaction rate.
Effect of catalysts on the distribution
- Adding a catalyst provides an alternative reaction pathway with lower activation energy,
- which means a larger fraction of particles possess sufficient energy to react without altering the Maxwell-Boltzmann curve shape.
Collision theory
- Particles react only if they collide with at least the activation energy and the correct orientation.
Kinetic energy
- The energy of motion of a particle.
Successful collision
- A collision with the correct orientation and enough energy to react.
Carbon dioxide
- A gas that turns limewater cloudy.
Maxwell-Boltzmann distribution
- A graph showing how particle energies are spread at a given temperature.
Reversible reaction
- A reaction in which the products can react to re-form the reactants.
Collision frequency
- Number of collisions per second
Effective collision
- Collision that leads to products.
Closed system
- A system in which nothing can enter or leave.
Particle
- A tiny portion of matter, too small to see.
Volume
- The space taken up by an object.
Molecule
- Two or more atoms held together by covalent bonds.
Activation energy
- The minimum energy colliding particles need to react.
Section 23 of 24Key terms
| Term | Meaning |
|---|---|
| Rate of reaction | The change in concentration of a reactant or product per unit time. |
| Collision theory | Reactions occur only when particles collide with the correct orientation and at least the activation energy. |
| Activation energy | The minimum energy colliding particles need to react. |
| Successful collision | A collision with the correct orientation and enough energy to react. |
| Collision frequency | The number of collisions between particles per unit time. |
| Initial rate | The rate at time zero, found from the tangent at the start of the curve. |
| Term | Meaning |
|---|---|
| Initial rate | The rate at time zero, found from the gradient of a tangent. |
| Maxwell-Boltzmann distribution | A graph showing how particle energies are spread at a given temperature. |
| Catalyst | A substance that increases rate by an alternative pathway of lower activation energy and is unchanged at the end. |
| Heterogeneous catalyst | A catalyst in a different phase from the reactants. |
| Dynamic equilibrium | A state in a closed system where forward and reverse rates are equal and concentrations are constant. |
| Closed system | A system in which no matter enters or leaves. |
| Quenching | Stopping a reaction in a sample so it can be analysed. |
| Term | Meaning |
|---|---|
| Position of equilibrium | The relative amounts of reactants and products in the equilibrium mixture. |
| Le Chatelier's principle | A system at equilibrium shifts to oppose a change imposed on it. |
| Endothermic direction | The direction of reaction that absorbs energy. |
| Compromise conditions | Conditions chosen to balance rate, yield and cost. |
| Recycling | Returning unreacted reactants to the reactor. |
Section 24 of 24Exam technique
1
Saying a higher temperature only gives more frequent collisions — more particles also have energy above the activation energy.
2
Saying a catalyst raises the energy of the particles — it provides a lower-energy pathway.
3
Saying all collisions lead to reaction — only collisions with enough energy and correct orientation do.
4
Drawing a tangent that does not touch the curve at the point required.
1
Saying concentrations are equal at equilibrium — they are constant.
2
Saying the reaction stops at equilibrium — both reactions continue at equal rates.
3
Saying a catalyst changes ΔH — it only lowers the activation energy.
4
Saying the peak of the curve rises when temperature rises — it moves right and becomes lower.
5
Using hydrogen with a mass-loss method — its mass is too small to measure.
1
Counting solids when comparing moles of gas — only gases count.
2
Saying a catalyst increases yield — it speeds up both directions equally.
3
Thinking a higher temperature always increases yield — it lowers yield for exothermic reactions.
4
Confusing rate and position — temperature and pressure change both, but a catalyst changes rate only.
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