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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.

What you need to know

Answer each one before you reveal it.

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Process

Why do activation processes speed up sharply with temperature? Illustrate with thermionic emission and with the ionisation of gas in stars.

Key term

Why plot Boltzmann factors logarithmically, how do two activation energies differ on such a plot, and what does the e⁻¹ point show?

Key term

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?

Key term

Explain why the viscosity of a liquid falls as it is heated.

Process

Name three processes that have an activation energy and state the energy step involved in each.

Numbers

Calculate kT at room temperature, taking that as 293 K.

Key term

How does the ratio of the numbers of particles in two states depend on the energy difference between them?

Numbers

An energy step of 6.4 × 10⁻²⁰ J exists at 290 K. Calculate E/kT.

Key term

Why is the Boltzmann factor always less than one?

Numbers

A covalent bond has an energy of about 4 eV. How many times kT is this at room temperature?

Numbers

Calculate the Boltzmann factor when E/kT = 10.

Key term

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. 1

    What does the quantity kT represent?

    Model answer

    It is the typical thermal energy available per particle at an absolute temperature T.

  2. 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. 3

    Express kT at room temperature in electronvolts.

    Model answer

    It is about 0.025 eV, roughly one fortieth of an electronvolt.

  4. 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. 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. 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.

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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.

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