All flashcards topics

The ideal gas equation and kinetic theoryEdexcel International A Level Physics: Flashcards

What these 12 flashcards ask

  • State the ideal gas equation using N.
  • What is the value of the Boltzmann constant?
  • What units must be used in pV = NkT?
  • State Boyle's law.
  • Which graph should be straight for Boyle's law?
  • How do you keep temperature constant in the Boyle's law experiment?
  • What happens to p if T doubles at constant V and N?
  • What equation gives the mean kinetic energy of a molecule?
  • Which two equations do you combine to derive ½m⟨c²⟩ = (3/2)kT?
  • What is the root mean square speed?
  • Do lighter or heavier molecules have a higher crms at the same T?
  • How does mean kinetic energy change when the kelvin temperature doubles?

Exam questions on The ideal gas equation and kinetic theory

  1. A sealed flask of volume 2.0 × 10⁻³ m³ contains an ideal gas at a pressure of 1.0 × 10⁵ Pa and a temperature of 300 K. The Boltzmann constant is k = 1.38 × 10⁻²³ J K⁻¹.
    Calculate the mean kinetic energy of a molecule of the gas.2 marks
  2. A class investigates the relationship between the pressure and volume of a fixed mass of air at constant temperature. The air is trapped in a syringe connected to a pressure gauge, and the students change the volume with the plunger and record the pressure each time.
    The air is at a pressure of 1.00 × 10⁵ Pa when its volume is 60 cm³. The students compress it to 24 cm³ at constant temperature. Calculate the new pressure.2 marks
  3. Helium is used to fill a weather balloon. A helium atom has mass 6.64 × 10⁻²⁷ kg. The gas can be treated as ideal and is at a temperature of 300 K. The Boltzmann constant is k = 1.38 × 10⁻²³ J K⁻¹. Argon atoms have a mass of 6.63 × 10⁻²⁶ kg.
    Calculate the root mean square speed of the helium atoms.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).