OCR A-Level Physics B H557
Planning
Implementing
Analysis
Evaluation
Practical Skills
Use of Apparatus and Techniques
Fundamental Data Analysis
Imaging and Signalling
Sensing
Mechanical Properties of Materials
Waves and Quantum Behaviour
Space, Time and Motion
Creating Models
Out Into Space
Our Place in the Universe
Matter: Very Simple
Matter: Hot or Cold
Electromagnetism
Charge and Field
Probing Deep Into Matter
Ionising Radiation and Risk
Matter: Hot or Cold
- 4 subtopics
- 12 things to know
- Components 01, 02 and 03
What Matter: Hot or Cold covers
Matter: Hot or Cold is examined in all three written papers — the specification states that Components 01, 02 and 03 each assess content from across all the teaching modules, so nothing is confined to one paper. It covers energy, temperature and the ratio E/kT, the Boltzmann factor and populations of energy states, graphs of the Boltzmann factor and activation processes and the effect of temperature.
Where it is assessed
Components 01, 02 and 03
Every module can be assessed on any of the three papers.
Check the OCR specification ↗The 4 subtopics
Each one has its own page.
- Energy, temperature and the ratio E/kTRecall questions on kT and its size at room temperature, comparing bond, band-gap and escape energies with it, why the ratio has no unit, and what a small ratio implies.Open →
- The Boltzmann factor and populations of energy statesRecall questions on the Boltzmann factor e^(−E/kT) and why it is below one, its value when the step is kT or 10kT, calculating factors and populations, its limits at very high temperature and near absolute zero, why a small temperature rise matters so much, the classical approximation, finding an activation energy from rates, and states of equal energy.Open →
- Graphs of the Boltzmann factorRecall questions on its shape against energy and against temperature, why it never exceeds one, which logarithmic plots straighten the data, their gradients and intercepts, and obtaining an activation energy.Open →
- Activation processes and the effect of temperatureRecall questions on activation energy and why activated processes speed up sharply with temperature, evaporation and evaporative cooling, thermionic emission and hot cathodes, ionisation in stars, semiconductor and metal resistance, viscosity and cold engine oil, melting over a narrow range, and why refrigeration slows food spoiling.Open →
What you need to know
Answer each one before you reveal it.
Why plot Boltzmann factors logarithmically, how do two activation energies differ on such a plot, and what does the e⁻¹ point show?
What energy increase divides the Boltzmann factor by e, how does higher temperature change its curve, which plot straightens it, and why never above one?
Explain why the viscosity of a liquid falls as it is heated.
Name three processes that have an activation energy and state the energy step involved in each.
Calculate kT at room temperature, taking that as 293 K.
How does the ratio of the numbers of particles in two states depend on the energy difference between them?
An energy step of 6.4 × 10⁻²⁰ J exists at 290 K. Calculate E/kT.
Why is the Boltzmann factor always less than one?
A covalent bond has an energy of about 4 eV. How many times kT is this at room temperature?
Calculate the Boltzmann factor when E/kT = 10.
What increase in energy makes the Boltzmann factor fall to 1/e of its value?
Take Matter: Hot or Cold further
The same content, four other ways.
Commonly confused
Pairs that lose marks when they are blurred together.
Boltzmann factor vs Boltzmann constant
Boltzmann factor: the pure number e^(−E/kT), giving how many particles sit in a state a step E above another compared with the number in the lower one. Boltzmann constant: the fixed quantity k = 1.38 × 10⁻²³ J K⁻¹ that turns an absolute temperature into the typical thermal energy per particle.
Activation energy vs Energy release
Activation energy: the minimum a particle must acquire before a particular change can happen to it at all, a barrier that has to be crossed first. Energy release: the amount a completed change hands out to its surroundings, which says nothing about how hard that change was to start.
Metal on warming vs Semiconductor on warming
Metal on warming: a conductor whose resistance rises, because its fixed number of free electrons simply suffers more scattering. Semiconductor on warming: a material whose resistance falls, because far more electrons are lifted across the band gap and that exponential gain in carriers outweighs the extra scattering.
Questions from this topic
Each one with the model answer underneath.
- 1
What does the quantity kT represent?
Model answer
It is the typical thermal energy available per particle at an absolute temperature T.
- 2
Calculate kT at room temperature, taking that as 293 K.
Model answer
kT = 1.38 × 10⁻²³ × 293 = 4.0 × 10⁻²¹ J.
- 3
Express kT at room temperature in electronvolts.
Model answer
It is about 0.025 eV, roughly one fortieth of an electronvolt.
- 4
Why is the ratio E/kT more informative than the energy E on its own?
Model answer
It says how large an energy step is compared with the thermal energy available, which is what decides whether the step is often taken.
- 5
Does the ratio E/kT carry a unit?
Model answer
No, both E and kT are energies, so the ratio is a pure number.
- 6
An energy step of 6.4 × 10⁻²⁰ J exists at 290 K. Calculate E/kT.
Model answer
kT = 1.38 × 10⁻²³ × 290 = 4.0 × 10⁻²¹ J, so E/kT = 16.
What is inside Levo
Six ways to work the same material.
Matter: Hot or Cold revision questions
- What does Matter: Hot or Cold cover in OCR A-Level Physics B?
- 4 subtopics: energy, temperature and the ratio e/kt, the boltzmann factor and populations of energy states, graphs of the boltzmann factor and activation processes and the effect of temperature. Each one has its own page with questions and model answers.
- How is Matter: Hot or Cold organised?
- By the OCR H557 specification, subtopic by subtopic, so it matches the order you are taught it in.
Every question in Matter: Hot or Cold, on a schedule.
Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.
Or £46 a year, about £3.83 a month. Cancel anytime.