Ideal Gases

Physics: AQA A Level, topic 6.2.3

The Kelvin Scale

The Kelvin scale is a temperature scale that is commonly used in science.

The Kelvin scale

The Kelvin scale

  • The Kelvin scale is an absolute temperature scale defined to have 0 K at the lowest possible temperature, called absolute zero.
Absolute zero

Absolute zero

  • Absolute zero (0 K) is the lowest possible temperature.
  • At absolute zero, there is no temperature.
  • This means that there is no kinetic energy or vibration of molecules.
Converting from degrees Celsius to Kelvin

Converting from degrees Celsius to Kelvin

  • To find degrees Celsius from Kelvin, just add 273.15.
  • E.g. 0oC = 273.15 K.
  • E.g. Water boils at 373.15 K.

Ideal Gas Law

The ideal gas law is a good model for the behaviours of large amounts of gas.

Ideal gas law

Ideal gas law

  • The ideal gas law can be written as:
  • Pressure x volume = number of moles x ideal gas constant x temperature
  • pV=nRT
    • Where R is the ideal gas constant and has a value of 8.31
  • This equation can be rearranged to solve for any of the terms.
Boltzmann constant

Boltzmann constant

  • Ideal gas constant x number of moles = Boltzmann constant x number of molecules
  • Rn=kNRn=kN
Avogadro's number

Avogadro's number

  • This equation gives the relationship between the ideal gas constant, the Boltzmann constant and Avogadro's number (the number of molecules in a mole):
  • Na=R/kN{_a}=R/k
  • Using the ideal gas law and the above equation, we can now write:
  • pV=NkTpV=NkT

Test yourself on Ideal Gases

  • How do particles move at absolute zero?

  • Which statements about absolute zero are correct?

  • Which form of the ideal gas law is correct?

  • What is the correct equation for the Boltzmann constant?

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