1.1.3—Temperature and kinetic energy

Syllabus
First assessment 2025
Objective
1.1.3
Level
HL

Temperature and Average Kinetic Energy

Temperature on the Kelvin scale is proportional to the average translational kinetic energy of particles. At the same Kelvin temperature, samples of different gases have the same average kinetic energy, although lighter particles have a higher typical speed than heavier particles. Use absolute temperature, not degrees Celsius, when comparing kinetic energies or temperature ratios.

T/K=T/°C+273.15T / K = T / °C + 273.15

Worked example — convert before interpreting

For 25.0C25.0\,^\circ\mathrm{C}, substitute into the conversion: T=25.0+273.15=298.15KT=25.0+273.15=298.15\,\mathrm{K}, reported as 298.2K298.2\,\mathrm{K} to one decimal place. The Kelvin value is the absolute temperature used for kinetic-energy comparisons; a rise of 10K10\,\mathrm{K} is the same temperature interval as a rise of 10C10\,^\circ\mathrm{C}.

Read a heating curve by first deciding whether the substance is within one state or changing state. On a sloping section, supplied energy increases average kinetic energy, so temperature rises. On a horizontal phase-change section at constant pressure, energy is still absorbed, but it is used to overcome intermolecular attractions and change particle arrangement; temperature and average kinetic energy stay constant until that change is complete. Cooling reverses the energy flow.

A 20 K temperature interval has the same size as a 20 °C interval, but 20 °C is not an absolute temperature of 20 K. Do not infer that heavier gas particles have greater average kinetic energy at the same temperature, and do not interpret a heating-curve plateau as a period when no energy is transferred.

Temperature Calculations

Assessment in practice

1 mark in each selected example; the reviewed bank includes both MCQ and structured conversion formats. marks
How it is assessed

Questions test the Kelvin-scale relationship between temperature and average kinetic energy and require numerical conversion between Celsius and Kelvin.

Command terms

Calculate

What earns marks

Use absolute temperature in Kelvin when reasoning about average kinetic energy, and add 273.15 to Celsius temperatures while following the accepted rounding range in the mark scheme.

Watch for

Using Celsius rather than Kelvin for the kinetic-energy relationship, or treating a Celsius change as if the absolute temperature itself had been doubled.

Representative question

Question 1

[Maximum number: 1]

What happens to the average kinetic energy, KE , of the particles in a gas when the absolute temperature is doubled?
KE=12mv2\mathrm{KE}=\frac{1}{2} \mathrm{mv}^{2}

A

Increases by a factor of 2

B

Decreases by a factor of 2

C

Increases by a factor of 4

D

Decreases by a factor of 4

Particulate Matter Summary

Retrieve the progression: classify matter as an element, compound, or mixture; use particle movement and spacing to explain states and state changes; then connect absolute temperature in kelvin with average kinetic energy.

When checking an answer, ask three questions: Is the composition fixed or separable physically? Which direction do the state symbols show? Am I using kelvin when the claim concerns average kinetic energy?